A heating-cooling system cycles gases between states. Assume this system is using 1.00 moles of an ideal gas with a C(v) = 25.0 J/mol・K. In this cycle, the gas was cooled from 392.0 K to 140.0 K. In addition, the pressure changed from 14.0 atm to 1.00 atm while the volume expanded from 2.30 L to 11.5 L. Calculate ∆E, in J, for this process.

Answers

Answer 1

The change in internal energy (∆E) for this process is -6,300 J.

To calculate the change in internal energy (∆E) for the given process, we can use the equation:

∆E = nC(v)∆T

where:

n is the number of moles of gas (1.00 mol),

C(v) is the molar heat capacity at constant volume (25.0 J/mol・K),

∆T is the change in temperature (T2 - T1).

In this case, T1 = 392.0 K and T2 = 140.0 K, so ∆T = 140.0 K - 392.0 K = -252.0 K (note that the change in temperature is negative because the gas is cooled).

Now we can substitute the values into the equation to calculate ∆E:

∆E = (1.00 mol)(25.0 J/mol・K)(-252.0 K)

∆E = -6,300 J

Therefore, the change in internal energy (∆E) for this process is -6,300 J.

To know more about constant volume refer here

brainly.com/question/22670658#

#SPJ11


Related Questions

21)

Which phrase describes the molecular polarity and distribution of charge in a molecule of carbon dioxide, CO2?



A)

polar and symmetrical


B)

polar and asymmetrical


C)

nonpolar and symmetrical


D)

nonpolar and asymmetrical



A molecule must be nonpolar if the molecule



A)

is linear


B)

is neutral


C)

has ionic and covalent bonding


D)

has a symmetrical charge distribution

Answers

The correct option is C, The phrase that describes the molecular polarity and distribution of charge in a molecule of carbon dioxide, CO2, is nonpolar and symmetrical.

A molecule is the smallest unit of a chemical compound that retains the chemical properties of that compound. It consists of two or more atoms held together by chemical bonds. Atoms, which are the basic building blocks of matter, combine to form molecules through various types of bonding, such as covalent, ionic, or metallic bonds. Molecules can be composed of atoms of the same element (as in diatomic molecules like oxygen gas, [tex]O_2[/tex]) or different elements (as in water, [tex]H_2O[/tex], composed of hydrogen and oxygen atoms).

The arrangement and types of atoms in a molecule determine its chemical behavior and properties. Molecules can exist in different states of matter, including solid, liquid, and gas, depending on the strength of the intermolecular forces between the molecules.

To know more about Molecule refer to-

brainly.com/question/30465503

#SPJ4

Complete  Question:

Which phrase describes the molecular polarity and distribution of charge in a molecule of carbon dioxide, CO2?

A) polar and symmetrical

B) polar and asymmetrical

C) nonpolar and symmetrical

D) nonpolar and asymmetrical

which of the amines shown will form an enamine with aldehydes and ketones? a) i b) ii c) iii d) iv e) i and iii

Answers

The correct answer is e) i and iii. Both a primary amine (i) and a secondary amine (iii) can form an enamine with aldehydes and ketones.

An enamine is a functional group that contains a nitrogen atom attached to a carbon atom, which is also bonded to another carbon atom. It can be formed by the reaction of an amine with an aldehyde or ketone.

Let's analyze the given options:

a) i: This compound is a primary amine. It can react with aldehydes and ketones to form an imine, not an enamine. Therefore, option a) i will not form an enamine.

b) ii: This compound is a secondary amine. It can react with aldehydes and ketones to form an enamine. Therefore, option b) ii can form an enamine.

c) iii: This compound is also a secondary amine. Like option b) ii, it can react with aldehydes and ketones to form an enamine. Therefore, option c) iii can form an enamine.

d) iv: This compound is a tertiary amine. Tertiary amines do not form enamines with aldehydes and ketones. Therefore, option d) iv will not form an enamine.

e) i and iii: As discussed earlier, option i (a primary amine) will form an imine, not an enamine. However, option iii (a secondary amine) can form an enamine. Therefore, option e) i and iii can form an enamine.

In conclusion, the correct answer is e) i and iii. Both a primary amine (i) and a secondary amine (iii) can form an enamine with aldehydes and ketones.

Learn more about ketones here:

https://brainly.com/question/31480223

#SPJ11

Calculate ΔG∘rxnΔGrxn∘ and E∘cellEcell∘ for a redox reaction with nnn = 2 that has an equilibrium constant of KKK = 30 (at 25 ∘C∘C).

Answers

To calculate ΔG∘rxn (standard Gibbs free energy change) and E∘cell (standard cell potential) for a redox reaction with n = 2 and an equilibrium constant of K = 30 at 25 °C, you need to use the following relationships:

ΔG∘rxn = -RT ln(K)

E∘cell = (RT/nF) ln(K)

where:

R is the ideal gas constant (8.314 J/(mol·K))

T is the temperature in Kelvin (25 °C = 298 K)

n is the number of moles of electrons transferred in the balanced redox equation

F is the Faraday constant (96485 C/mol)

K is the equilibrium constant

Let's calculate the values:

ΔG∘rxn = -RT ln(K)

= -(8.314 J/(mol·K)) * (298 K) * ln(30)

≈ -12160 J/mol

≈ -12.2 kJ/mol

E∘cell = (RT/nF) ln(K)

= (8.314 J/(mol·K)) * (298 K) / (2 mol * 96485 C/mol) * ln(30)

≈ 0.079 V

Therefore, the ΔG∘rxn is approximately -12.2 kJ/mol, and the E∘cell is approximately 0.079 V.

To know more about ΔG∘rxn refer here

brainly.com/question/31745388#

#SPJ11

A mixture of two amino acids, glycine and alanine, what is the best separating technique to separate them

Answers

One of the best techniques to separate a mixture of two amino acids, glycine and alanine, is chromatography. Chromatography is a versatile separation method commonly used in chemistry and biochemistry to separate and analyze mixtures.

Chromatography is a versatile separation technique used in various scientific fields to separate and analyze complex mixtures of substances. It is based on the principle of differential migration of components in a sample mixture through a stationary phase and a mobile phase. The stationary phase can be a solid or a liquid, while the mobile phase is typically a liquid or a gas.

During chromatographic analysis, the sample mixture is introduced into the system, and the different components interact differently with the stationary and mobile phases. This leads to their separation as they travel at different rates through the system. The separated components are then detected and analyzed. Chromatography finds applications in a wide range of disciplines such as chemistry, biochemistry, pharmaceuticals, forensics, environmental science, and more.

To know more about Chromatography refer to-

brainly.com/question/28731153

#SPJ4

.During what decade was cold preservation commercialized in the United States?
1900's
1910's
1920's
1930's

Answers

Cold preservation, also known as refrigeration, was commercialized in the United States during the 1910s. This decade saw the widespread adoption of refrigeration technology in many industries, including food processing, transportation, and home refrigeration.

Before the commercialization of refrigeration, food preservation relied on traditional methods such as salting, smoking, and canning. These methods were effective to a certain extent but had limitations in terms of shelf life and taste.

The invention of mechanical refrigeration allowed for longer and safer storage of perishable foods, reducing food waste and improving food safety.

The 1910s were a pivotal decade for the adoption of this technology, and refrigeration continues to be a crucial aspect of the food industry and daily life.

Visit here to learn more about commercialization:

brainly.com/question/24219749

#SPJ11

Provide the missing information for each step in the following synthesis. This problem has been solved! You'll get a detailed solution from a subject matter ...

Answers

Identify gaps, conduct research, and gather necessary data to fill missing information in the synthesis.

How can the missing information for each step in the solved synthesis problem be provided?

To provide missing information for each step in a synthesis, you would need to review the steps that have already been taken and identify any gaps or missing pieces of information that are needed to move forward with the process. This might involve conducting further research, gathering additional data or input from experts, or revisiting previous steps to ensure that all necessary information has been considered.
In terms of subject matter, the missing information could relate to any number of topics, depending on the nature of the synthesis and the specific subject area being studied. For example, if the synthesis is focused on a scientific or technical topic, missing information might include details on experimental procedures, data analysis methods, or theoretical frameworks. Alternatively, if the synthesis is focused on a social or cultural topic, missing information might include insights into historical context, cultural practices, or social dynamics that are relevant to the topic at hand.
Ultimately, the key to providing missing information in a synthesis is to carefully consider each step in the process and to identify any gaps or missing pieces of information that need to be addressed. By doing so, you can ensure that your synthesis is comprehensive, accurate, and informed by the best available data and insights.

Learn more about missing information:

brainly.com/question/25294884

#SPJ11

The place ehere tectonic playes is know as the

Answers

The place where tectonic plates interact is known as a plate boundary.

Tectonic plates are large, rigid slabs of Earth's lithosphere that float on the semi-fluid asthenosphere beneath them. There are three main types of plate boundaries: divergent boundaries, where plates move apart; convergent boundaries, where plates collide; and transform boundaries, where plates slide past each other horizontally.

At divergent boundaries, such as the Mid-Atlantic Ridge, new crust is formed as magma rises and solidifies, creating underwater mountain ranges and rift valleys.

Convergent boundaries, like the collision between the Indian and Eurasian plates forming the Himalayas, involve the destruction, subduction, or deformation of crustal material. This leads to the formation of mountain ranges, volcanic activity, and earthquakes.

Transform boundaries, such as the San Andreas Fault in California, involve lateral sliding of plates. These boundaries are characterized by frequent earthquakes but typically lack significant volcanic activity.

Plate boundaries are dynamic zones where the Earth's lithosphere is constantly reshaped, and the interactions between tectonic plates give rise to a variety of geologic phenomena.

For more such questions on tectonic

https://brainly.com/question/2325633

#SPJ11

which of the following is more highly oxidized than acetaldehyde?
a. ethylene gas b. ethanol c. ethane d. acetic acid e. ethylene

Answers

The correct answer is (d). acetic acid.

In terms of oxidation states, acetaldehyde ([tex]CH_3CHO[/tex]) has a carbon atom bonded to an oxygen atom, giving the carbon a +1 oxidation state. Acetic acid  ([tex]CH_3CHO[/tex]) , on the other hand, has two oxygen atoms bonded to the carbon, resulting in a +2 oxidation state for the carbon. Therefore, acetic acid is more highly oxidized than acetaldehyde.

Let's examine the other options:

a. ethylene gas ([tex]C_2H_4[/tex]) has a carbon-carbon double bond and no oxygen atoms, so it is less oxidized than acetaldehyde.

b. ethanol ([tex]C_2H_5OH[/tex]) has an oxygen atom bonded to one of the carbon atoms, resulting in a +1 oxidation state for the carbon. It is the same level of oxidation as acetaldehyde.

c. ethane ([tex]C_2H_6[/tex]) has no oxygen atoms, so it is less oxidized than acetaldehyde.

e. ethylene ([tex]C_2H_4[/tex]) is the same as option a and is less oxidized than acetaldehyde.

To know more about acetic refer here

https://brainly.com/question/15202177#

#SPJ11

write the chemical equation for the reactions which take place when magnesium hydrogen carbonate is removel from hard water using 1. boiling method 2. sodium carbonate solution

Answers

Boiling method: Magnesium hydrogen carbonate decomposes into magnesium carbonate, water, and carbon dioxide gas.

Sodium carbonate solution: Magnesium hydrogen carbonate reacts with sodium carbonate to form magnesium carbonate, water, and sodium hydrogen carbonate.

Boiling Method:When magnesium hydrogen carbonate is subjected to the boiling method, it decomposes due to the heat. The chemical equation for this reaction is as follows:

Mg(HCO3)2(s) → MgCO3(s) + H2O(g) + CO2(g)

In this equation, magnesium hydrogen carbonate (Mg(HCO3)2) decomposes into magnesium carbonate (MgCO3), water (H2O), and carbon dioxide gas (CO2). This allows the removal of magnesium hydrogen carbonate from the hard water.

Sodium Carbonate Solution:In the presence of sodium carbonate (Na2CO3) solution, magnesium hydrogen carbonate reacts to form magnesium carbonate, water, and sodium hydrogen carbonate. The chemical equation for this reaction is as follows:

Mg(HCO3)2(s) + 2Na2CO3(aq) → MgCO3(s) + H2O(l) + 2NaHCO3(aq)

In this equation, magnesium hydrogen carbonate reacts with sodium carbonate to produce magnesium carbonate (MgCO3), water (H2O), and sodium hydrogen carbonate (NaHCO3). This reaction leads to the removal of magnesium hydrogen carbonate from hard water.

For more questions like Reaction click the link below:

https://brainly.com/question/30086875

#SPJ11

Write a balanced nuclear equation for the following: The nuclide polonium-210 undergoes alpha emission. (Use the lowest possible coefficients.)

Answers

The balanced nuclear equation for the alpha decay of polonium-210 is Po-210 → Pb-206 + He⁻⁴

In this equation, Po-210 represents polonium-210, Pb-206 represents lead-206, and He⁻⁴ represents helium-4. The subscripts on each element represent the number of protons in the nucleus, and the superscripts represent the total number of nucleons (protons + neutrons) in the nucleus.

In alpha decay, an alpha particle (which is a helium nucleus) is emitted from the nucleus of an atom. The alpha particle has 2 protons and 2 neutrons, so the atomic number of the atom decreases by 2 and the mass number decreases by 4.

In this case, the polonium-210 atom loses 2 protons and 2 neutrons, becoming a lead-206 atom.

To know more about balanced nuclear equation, refer here:

https://brainly.com/question/30852800#

#SPJ11

a reaction a 2b → c is found to be first order in a and first order in b. what are the units of the rate constant, k, if the rate is expressed in units of moles per liter per minute?

Answers

A reaction a 2b → c is found to be first order in a and first order in b. t, k, if the rate is expressed in units of moles per liter per minute he units of the rate constant are [tex]moles^-1 per liter^-1.[/tex]

In the given reaction, a 2b → c, it is stated that the reaction is first order in both reactant A and reactant B. This means that the rate of the reaction is directly proportional to the concentration of both A and B raised to the power of 1. Mathematically, the rate equation can be expressed as:

rate = k[A][B]

Where [A] and [B] represent the concentrations of A and B, respectively, and k is themoles^-1  per liter^-1.

To determine the units of the rate constant, we can analyze the units of the rate equation. Since the rate is expressed in moles per liter per minute, the units of the rate constant, k, can be derived as follows:

Rate = k[A][B]

Units of rate = (units of k) * (units of [A]) * (units of [B])

Moles per liter per minute = (units of k) * (moles per liter) * (moles per liter)

By comparing the units, we can deduce that:

Units of k = moles per liter per minute / (moles per liter)²

Simplifying further:

Units of k = 1 / (moles per liter)

Therefore, the units of the rate constant, k, in this reaction are [tex]moles^-1 per liter^-1.[/tex]

Learn more about rate of the reaction here:

https://brainly.com/question/13693578

#SPJ11

What term is used to describe reagents such as NaBH4 which only react with certain functional groups? Chemoselective Stereoselective Regioselective Functional group selective

Answers

The term used to describe reagents such as NaBH4 which only react with certain functional groups is "chemoselective." Chemoselectivity refers to the ability of a reagent to selectively react with one functional group or a specific type of bond in the presence of other functional groups or bonds.

In the case of NaBH4, it is commonly used as a reducing agent and exhibits chemoselectivity by selectively reducing carbonyl groups (aldehydes and ketones) while leaving other functional groups untouched.

While "functional group selective" is also a valid term, "chemoselective" is more commonly used to describe reagents with this property. The terms "stereoselective" and "regioselective" refer to the selectivity of a reaction based on the stereochemistry or the position of the reaction site, respectively, and are not specific to reactions targeting certain functional groups.

Learn more about NaBH4here:

https://brainly.com/question/31560146

#SPJ11  

an electron is released from rest in a uniform electric field of magnitude 2.43 × 104 n/c. calculate the acceleration of the electron. (ignore gravitation.)

Answers

The acceleration of the electron in the uniform electric field is calculated using the equation

       a = qE/m,

where

q is the charge, E is the electric field magnitude, and m is the mass of the electron.

How to calculate electron acceleration in an electric field?

The acceleration of an electron released from rest in a uniform electric field of magnitude 2.43 × 10⁴N/C

The equation used to calculate the acceleration of the electron is

                  a = qE/m.

The charge of the electron is

           q = 1.6 × 10⁻¹⁹ C.

The magnitude of the electric field is

           E = 2.43 × 10⁴N/C.

The mass of the electron is

           m = 9.11 × 10⁻³¹ kg.

Substituting the given values into the equation, we have

       a = (1.6 × 10⁻¹⁹ C) × (2.43 × 10⁴ N/C) / (9.11 × 10⁻³¹ kg).

Calculating this expression will give us the acceleration of the electron.The units of the acceleration will be meters per second squared (m/s²).The result of the calculation will provide the numerical value of the electron's acceleration in the given electric field.

Learn more about acceleration

brainly.com/question/2303856

#SPJ11

What is the maximum work that could be obtained from 5.35 g of zinc metal in the following reaction at 25°C?
Zn(s) + Cu2+(aq) ---> Zn2+(aq) + Cu(s)

Answers

The maximum work that could be obtained from 5.35 g of zinc metal is calculated as - 17. 3903 kJ

          Zn(s) + Cu²⁺(aq) ---> Zn²⁺ (aq) + Cu(s)

Δ G ° = Δ G° product - Δ G° reactant

         =   - 147 - 65.52

           =  - 212.52 kJ / mole

molar mass of zinc = 65.38 g/ mole

mole of Zn = [tex]\frac{gram of Zn}{molar mass}[/tex]

                     = 5.35/ 65.38

W = - 212.52 kJ/ mole × 5.35 / 65.38 mole

           =  - 17. 3903 kJ                    

How much is Delta G?

To put it another way, "G" is the change in a system's free energy as it transitions from one initial state (all reactants) to another, final state (all products). The maximum amount of usable energy that can be released (or absorbed) during the transition from the initial to the final state is shown by this value.

What is as molar mass?

"Mass per mole" can be used to describe molar mass. To put it another way, a substance's molar mass is the total mass of all its atoms in one mole's worth. It is quantified in grams per mole.

Learn more about Molar mass:

brainly.com/question/21334167

#SPJ4

Sometimes the problem will give the initial and final states in different units. In this case, you need to identify all of the pressures and all of the volumes by organizing them into a table (step 1 of our problem-solving method). Then, you need to convert all of your pressures to the same units (usually atmospheres works best) and all of your volumes to the same units (usually liters). Then you can set up the problem and solve. A balloon filled with 2. 00 L of helium initially at 1. 85 atm of pressure rises into the atmosphere. When the surrounding pressure reaches 340. MmHg, the balloon will burst. If 1 atm = 760. MmHg, what volume will the balloon occupy in the instant before it bursts?​

Answers

The volume of the balloon will occupy in the instant if a balloon filled with 2.00 L of helium initially at 1.85 atm of pressure rises into the atmosphere and the surrounding pressure reaches 340. MmHg before it bursts is 7.90 L.

To determine the volume of the balloon will occupy in the instant before it bursts, we are given data:

Volume of the balloon initially, V₁ = 2.00 LPressure of the balloon initially, P₁ = 1.85 atmPressure when the balloon bursts, P₂ = 340. mmHg = 0.447 atm (As 1 atm = 760 mmHg)

The problem gives the initial and final states in different units. Hence, we need to identify all of the pressures and all of the volumes by organizing them into a table.

Here, we have given the volume and pressure in different units. We will need to convert all pressures to the same units (usually atmospheres) and all volumes to the same units (usually liters).

Conversion factors:

1 atm = 760. mmHgInitial Pressure P₁ = 1.85 atmFinal Pressure P₂ = 0.447 atmInitial Volume V₁ = 2.00 LFinal Volume V₂ = ?

Now, we can use Boyle’s law to solve the problem. Boyle’s law states that pressure and volume of a gas are inversely proportional to each other at constant temperature.

i.e, P₁V₁ = P₂V₂

Then, V₂ = P₁V₁/P₂  

Substitute the values of P₁, V₁, and P₂.

V₂ = (1.85 atm × 2.00 L)/(0.447 atm)  

On solving the above expression, we get

V₂ = 7.90 L (rounded off to two significant figures)

Therefore, the volume of the balloon will be 7.90 L in the instant before it bursts.

Learn more about volume: https://brainly.com/question/32018189

#SPJ11

find the binding energy in an atom of 3he which has a mass of 3.016030

Answers

The binding energy in an atom of ³He, which has a mass of 3.016030 atomic mass units (u), is approximately 193.0 MeV.

The binding energy of an atom refers to the energy required to disassemble the nucleus into its constituent nucleons (protons and neutrons). It represents the attractive forces that hold the nucleus together.

Mass of ³He (³He mass) = 3.016030 atomic mass units (u)

Sum of masses of constituents (protons and neutrons) = 2.808920 u

Binding energy (ΔE) = (³He mass) - (Sum of masses of constituents)

ΔE = 3.016030 u - 2.808920 u

ΔE ≈ 0.20711 u

To convert the binding energy from atomic mass units (u) to energy units such as electron volts (eV), we can use the conversion factor:

1 atomic mass unit (u) = 931.5 MeV

So, the binding energy can be calculated as:

Binding energy (ΔE) ≈ 0.20711 u * 931.5 MeV/u

Binding energy (ΔE) ≈ 193.0 MeV

learn more about binding energy here:

https://brainly.com/question/32066931

#SPJ4

In the following reaction, which reactant is acting as a Bronsted-Lowry base? HCl(aq) + KHS(aq) - KCl(aq) + H2S(aq) a НСІ b КСІ c KHS d H2S
e H20

Answers

In the given reaction, the reactant that acts as a Bronsted-Lowry base is:

c) KHS (potassium hydrogen sulfide)

According to the Bronsted-Lowry theory, an acid is a proton (H+) donor, and a base is a proton acceptor. In the reaction provided:

HCl(aq) + KHS(aq) -> KCl(aq) + H2S(aq)

HCl donates a proton (H+) to KHS, making HCl an acid. KHS accepts the proton from HCl, which makes it a base. KHS then undergoes a protonation reaction, forming KCl and H2S.

Therefore, in the given reaction, KHS acts as a Bronsted-Lowry base by accepting the proton from HCl.

To know more about Bronsted-Lowry theory refer here

brainly.com/question/30460067#

#SPJ11

Equal volumes of two different weak acids are titrated with 0.35 M NaOH, resulting in the following titration curves. Which curve corresponds to the titration of the more concentrated weak acid solution? O cannot be determined O the upper, red curve the lower, blue curve the concentrations are equal 0 10 20 30 40 50

Answers

The curve that corresponds to the titration of the more concentrated weak acid solution if equal volumes of two different weak acids are titrated with 0.35 M NaOH is the lower, blue curve (Option C).

To determine which curve corresponds to the titration of the more concentrated weak acid solution, we need to look at the inflection point of each curve. Inflection point is the point at which the concavity of a curve changes. It is also the point at which the derivative of the curve is at a maximum or minimum value. It represents the midpoint of the buffering region of the titration curve. Therefore, the inflection point of the curve corresponds to the equivalence point of the titration curve.

Since the two curves have the same initial pH, the curve with the lower inflection point will correspond to the titration of the more concentrated weak acid solution. This is because a more concentrated solution will require less NaOH to reach the equivalence point, resulting in a lower inflection point. Therefore, the lower, blue curve corresponds to the titration of the more concentrated weak acid solution.

Thus, the correct option is C.

Learn more about titration curve: https://brainly.com/question/31857985

#SPJ11

1. calculate the equilibrium constant for the following reaction at 25 oc, given that δgo (f) of o3 (g) is 163.4 kj/mol. 2o3(g) → 3o2(g)

Answers

The equilibrium constant (K) for the given reaction at 25°C is approximately 5.18 × 10^(-31).

To calculate the equilibrium constant (K) for the given reaction at 25°C, we can use the relationship between the standard Gibbs free energy change (ΔG°) and the equilibrium constant.

The standard Gibbs free energy change (ΔG°) is related to the equilibrium constant (K) through the equation:

ΔG° = -RT ln(K)

Where:

ΔG° is the standard Gibbs free energy change (in J/mol)

R is the gas constant (8.314 J/(mol·K))

T is the temperature in Kelvin

K is the equilibrium constant

First, we need to convert the given value of ΔG° from kJ/mol to J/mol:

ΔG° = 163.4 kJ/mol = 163.4 × 10^3 J/mol

Now we can substitute the values into the equation and solve for K:

163.4 × 10^3 J/mol = - (8.314 J/(mol·K)) * (25 + 273) K * ln(K)

Simplifying the equation:

163.4 × 10^3 J/mol = - (8.314 J/(mol·K)) * (298 K) * ln(K)

Dividing both sides of the equation by - (8.314 J/(mol·K)) * (298 K):

ln(K) = (163.4 × 10^3 J/mol) / - (8.314 J/(mol·K)) / (298 K)

ln(K) ≈ - 69.93

Taking the exponential of both sides to solve for K:

K ≈ e^(-69.93)

K ≈ 5.18 × 10^(-31)

Therefore, the equilibrium constant (K) for the given reaction at 25°C is approximately 5.18 × 10^(-31).

Learn more about equilibrium constant here:

https://brainly.com/question/30620209

#SPJ11

Which of the following reagents would oxidize Zn to Zn but not Ag to Ag 2+ ?
a. Co 2+ b. Br2 c. Ca 2+ d. Co e. Br f. Ca

Answers

The reagents that can oxidize zinc (Zn) to Zn^2+ but not silver (Ag) to Ag^2+ are those with higher reduction potentials than zinc but lower reduction potentials than silver.

Reduction potential is a measure of the tendency of a species to gain electrons and undergo reduction.

Out of the options given, the reagents that fit these criteria are:

a. Co^2+ (cobalt(II) ions)

e. Br (bromine)

Both cobalt(II) ions (Co^2+) and bromine (Br) have higher reduction potentials than zinc (Zn), so they can oxidize zinc to zinc(II) ions (Zn^2+).

However, their reduction potentials are lower than that of silver (Ag), so

they cannot oxidize silver to silver(II) ions (Ag^2+).

Therefore, the correct options are a. Co^2+ and e. Br.

To know more about oxidize zinc  refer here

brainly.com/question/30713426#

#SPJ11

.What alkyl groups make up the following ether?
A) ethyl and phenyl
B) propyl and benzyl
C) ethyl and benzyl
D) propyl and phenyl
E) None of these

Answers

The alkyl groups that make up the given ether are ethyl and benzyl. The answer is C)

In the given ether, the molecular structure consists of two alkyl groups attached to an oxygen atom. By analyzing the options provided, we can determine that the alkyl groups present in the ether are ethyl (C₂H₅) and benzyl (C₆H₅CH₂-).

The ethyl group is represented by the C₂H₅ formula, indicating a two-carbon chain with three hydrogen atoms. The benzyl group is represented by C₆H₅CH₂-, which consists of a phenyl ring (C₆H₅) attached to a methylene group (CH₂-). Therefore, the correct answer is option C) ethyl and benzyl.

Hence, the correct option is: C) ethyl and benzyl.

The complete question is:

What alkyl groups make up the following ether?
(image attached)

A) ethyl and phenyl

B) propyl and benzyl

C) ethyl and benzyl

D) propyl and phenyl

E) None of these

To know more about alkyl groups, refer here:
https://brainly.com/question/9872968
#SPJ11

triethylamine [(ch3ch2)3n] is a molecule in which the nitrogen atom is ________ hybridized and the cnc bond angle is ________.

Answers

Triethylamine [(CH3CH2)3N] is a molecule in which the nitrogen atom is sp3 hybridized and the CNC bond angle is approximately 109.5 degrees. This means that the nitrogen atom has four electron groups around it, including three carbon atoms and one lone pair of electrons.

Triethylamine is a commonly used organic compound that is often employed as a base or catalyst in organic reactions. Its sp3 hybridization and tetrahedral geometry make it an effective nucleophile and basic site, which allows it to react with a wide range of electrophiles. The CNC bond angle of approximately 109.5 degrees is close to the ideal tetrahedral angle of 109.47 degrees, which suggests that the molecule has minimal steric strain. This angle is also characteristic of other tetrahedral molecules with four electron groups around the central atom.

The sp3 hybridization of the nitrogen atom in triethylamine is a result of its electron configuration, which has five valence electrons in the 2s and 2p orbitals. To achieve a stable octet, the nitrogen atom must form four covalent bonds, which requires the promotion of an electron from the 2s orbital to the 2p orbital. The four hybrid orbitals that result are then arranged in a tetrahedral geometry, with the CNC bond angle of 109.5 degrees.


In conclusion, triethylamine [(CH3CH2)3N] is a molecule in which the nitrogen atom is sp3 hybridized and the CNC bond angle is approximately 109.5 degrees. This geometry is characteristic of tetrahedral molecules with four electron groups around the central atom and allows triethylamine to function as a versatile nucleophile and base in organic reactions. Understanding the hybridization and geometry of this molecule is important for predicting its reactivity and designing synthetic routes in organic chemistry.

To know more about Triethylamine visit:

brainly.com/question/32070506

#SPJ11

The pH readings for wines vary from 2.1 to 3.1. Find the corresponding range of hydrogen ion concentrations, a.7.94 x 10^-4 ≤ [H+] ≤ 7.94 x 10-3 b.3.1 x 10^-4 ≤ [H+] ≤ 2.1 10-3 c.7.94 x 10-11 ≤ [h+] ≤ 7.94 x 10-10 d.3.1 x 10-11 ≤ [H+] ≤ 2.1 x 10-10 e.None of these

Answers

Hence, option (a) is correct.  the corresponding range of hydrogen ion concentrations, a.7.94 x 10^-4 ≤ [H+] ≤ 7.

The pH readings for wines vary from 2.1 to 3.1. The formula to find the concentration of hydrogen ions in the solution is, $$ pH = - log [H^+] $$Using this formula, we can rearrange it to find the concentration of hydrogen ions, i.e. $$ [H^+] = 10^{-pH} $$Using the given pH range, we get the corresponding range of hydrogen ion concentrations as follows:$$ 10^{-2.1} ≤ [H^+] ≤ 10^{-3.1} $$Solving the above equation, we get, $$ 7.94 × 10^{-4} ≤ [H^+] ≤ 7.94 × 10^{-3} $$Therefore, the corresponding range of hydrogen ion concentrations is a. 7.94 × 10^-4 ≤ [H+] ≤ 7.94 × 10^-3.

To know more about pH  visit:

https://brainly.com/question/28602224

#SPJ11

a sunscreen preparation contains 2.50% benzyl salicylate by mass. if a tube contains 4.0 oz of sunscreen, how many kilograms of benzyl salicylate are needed to manufacture 325 tubes of sunscreen?

Answers

To manufacture 325 tubes of sunscreen, approximately 0.536 kg of benzyl salicylate is needed.

First, we need to calculate the mass of benzyl salicylate in one tube of sunscreen. Since the sunscreen preparation contains 2.50% benzyl salicylate by mass, we can calculate the mass as follows,

Mass of benzyl salicylate in one tube = 2.50% of 4.0 oz

Mass of benzyl salicylate in one tube = (2.50/100) * 4.0 oz

Mass of benzyl salicylate in one tube = 0.1 oz.

Next, we calculate the mass of benzyl salicylate needed to manufacture 325 tubes of sunscreen,

Mass of benzyl salicylate needed = Mass of benzyl salicylate in one tube * Number of tubes

Mass of benzyl salicylate needed = 0.1 oz * 325

Mass of benzyl salicylate needed = 32.5 oz

To convert the mass from ounces to kilograms, we use the conversion factor,

1 kg = 35.274 oz

Mass of benzyl salicylate needed in kilograms = (32.5 oz) / (35.274 oz/kg)

Mass of benzyl salicylate needed in kilograms ≈ 0.921 kg. Therefore, to manufacture 325 tubes of sunscreen, approximately 0.536 kg of benzyl salicylate is needed.

To know more about Concentration, visit,

https://brainly.com/question/28564792

#SPJ4

What is the Ksp for the following equilibrium if zinc phosphate has a molar solubility of 1.5×10−7 M?
Zn3(PO4)2(s)↽−−⇀3Zn2+(aq)+2PO3−4(aq)

Answers

Th e Ksp for the equilibrium of zinc phosphate is approximately 1.9225×10^−30.

The solubility product constant (Ksp) is the equilibrium constant for the dissolution of a sparingly soluble salt. In this case, the equilibrium is:

Zn3(PO4)2(s) ⇌ 3Zn2+(aq) + 2PO3-4(aq)

The Ksp expression for this equilibrium is:

Ksp = [Zn2+]^3 [PO3-4]^2

Given that the molar solubility of zinc phosphate (Zn3(PO4)2) is 1.5×10^−7 M, we can substitute this value into the Ksp expression:

1.5×10^−7 = [Zn2+]^3 [PO3-4]^2

Since the stoichiometric coefficients for zinc ions (Zn2+) and phosphate ions (PO3-4) in the balanced equation are 3 and 2, respectively, we can express their concentrations in terms of the molar solubility:

[Zn2+] = 3 × (1.5×10^−7) = 4.5×10^−7 M

[PO3-4] = 2 × (1.5×10^−7) = 3.0×10^−7 M

Substituting these values into the Ksp expression, we get:

Ksp = (4.5×10^−7)^3 × (3.0×10^−7)^2

Evaluating this expression gives:

Ksp = 1.9225×10^−30

Therefore, the Ksp for the equilibrium of zinc phosphate is approximately 1.9225×10^−30.

Learn more about zinc phosphate here:

https://brainly.com/question/28959000

#SPJ11

Answer: ksp= 8.2 X 10^-33

2. Which of the following reactions would you expect to occur spontaneously in the forward direction? Show your reasoning. a. Ni(s)+Zn 2+
(aq)→Ni 2+
(aq)+Zn(s) b. Al(s)+3Ag +
(aq)→Al 3+
(aq)+3Ag(s)

Answers

Both reactions (a) and (b) would occur spontaneously in the forward direction.

To determine whether a reaction will occur spontaneously in the forward direction, we can analyze the standard cell potential (E°) of the reaction. If the E° value is positive, the reaction is spontaneous in the forward direction.

Let's analyze the given reactions:

a. Ni(s) + Zn2+(aq) → Ni2+(aq) + Zn(s)

In this reaction, Ni is being oxidized from its elemental state (Ni(s)) to Ni2+(aq), while Zn2+ is being reduced to Zn(s). To determine if the reaction is spontaneous, we need to compare the standard reduction potentials (E°) of the two half-reactions.

The standard reduction potential for Ni2+(aq) + 2e- → Ni(s) is -0.25 V.

The standard reduction potential for Zn2+(aq) + 2e- → Zn(s) is -0.76 V.

To calculate the overall standard cell potential (E°cell), we subtract the reduction potential of the oxidation half-reaction from the reduction potential of the reduction half-reaction:

E°cell = E°reduction - E°oxidation

E°cell = (-0.25 V) - (-0.76 V)

E°cell = 0.51 V

Since the overall standard cell potential (E°cell) is positive (0.51 V), the reaction is expected to occur spontaneously in the forward direction (from left to right).

b. Al(s) + 3Ag+(aq) → Al3+(aq) + 3Ag(s)

In this reaction, Al is being oxidized from its elemental state (Al(s)) to Al3+(aq), while Ag+ is being reduced to Ag(s). To determine if the reaction is spontaneous, we compare the standard reduction potentials (E°) of the two half-reactions.

The standard reduction potential for Al3+(aq) + 3e- → Al(s) is -1.66 V.

The standard reduction potential for Ag+(aq) + e- → Ag(s) is 0.80 V.

Calculating the overall standard cell potential (E°cell):

E°cell = E°reduction - E°oxidation

E°cell = (0.80 V) - (-1.66 V)

E°cell = 2.46 V

Since the overall standard cell potential (E°cell) is positive (2.46 V), the reaction is expected to occur spontaneously in the forward direction (from left to right).

Therefore, both reactions (a) and (b) would occur spontaneously in the forward direction.

Learn more about spontaneous  here:

https://brainly.com/question/5372689

#SPJ11

where did the atoms that make up a newborn baby originate

Answers

The atoms that make up a newborn baby originated from various sources. Primarily, these atoms were forged inside stars through nucleosynthesis, where hydrogen and helium fused to form heavier elements.

The birth and death of multiple generations of stars over billions of years contributed to the creation of these atoms. Additionally, some atoms may have been produced during cosmic events such as supernovae or stellar collisions. Ultimately, these atoms were dispersed into space and later incorporated into the material that formed Earth, including the molecules necessary for life. The atoms comprising a newborn baby have a fascinating cosmic origin. The fundamental elements, such as hydrogen and helium, were formed shortly after the Big Bang. However, the heavier elements necessary for life, such as carbon, oxygen, nitrogen, and calcium, were produced through nucleosynthesis within stars. As stars reach the end of their lifecycle, they undergo nuclear fusion processes, where immense temperatures and pressures cause lighter elements to merge and form heavier ones. Elements up to iron are typically synthesized through stellar nucleosynthesis. During a supernova explosion, massive stars release tremendous energy and scatter these newly formed atoms into space. Supernovae are critical in dispersing heavier elements throughout the universe. These atoms then mix with interstellar gas and dust, eventually becoming part of molecular clouds, which are regions of space where new stars and planetary systems form. Over time, gravitational forces cause these clouds to collapse, leading to the formation of new stars and their associated planetary systems. The birth and death of multiple generations of stars have played a crucial role in the formation of the atoms present in a newborn baby. Each stellar generation enriches the interstellar medium with heavier elements, which are incorporated into subsequent generations of stars and their planetary systems. Furthermore, cosmic events like stellar collisions can also contribute to the production of heavy elements. The atoms from these processes eventually become part of the material that forms planets like Earth. On Earth, the atoms essential for life come together in various compounds, including water, amino acids, and nucleotides, which are the building blocks of DNA and proteins. These molecules are synthesized through chemical reactions that occur in the oceans, atmosphere, and even within living organisms themselves. Eventually, these complex molecules combine to form cells, and through a process of growth and development, they give rise to a newborn baby. In summary, the atoms that make up a newborn baby have their origins in the nucleosynthesis processes occurring within stars. The birth and death of stars, supernova explosions, stellar collisions, and the subsequent formation of planets have all contributed to the creation and dispersion of these atoms throughout the universe. Through complex chemical reactions and biological processes on Earth, these atoms come together to form the molecules necessary for life and ultimately give rise to a newborn baby

Learn more about Big Bang here: brainly.com/question/17209127

#SPJ11

The standard Gibbs free energy for the reaction below is –12.6 kJ. What is the equilibrium constant for this reaction at 25°C?
2 A + B ⇌ 3 C

Answers

The equilibrium constant (K) for the given reaction at 25°C is approximately 151.6.

To determine the equilibrium constant (K) for a reaction using the standard Gibbs free energy (∆G°), we can use the equation:

∆G° = -RT ln(K)

Where:

∆G° is the standard Gibbs free energy (-12.6 kJ in this case),

R is the gas constant (8.314 J/mol·K),

T is the temperature in Kelvin (25°C = 298 K),

K is the equilibrium constant we want to calculate.

First, we need to convert the given ∆G° from kilojoules to joules:

∆G° = -12.6 kJ * 1000 J/kJ = -12,600 J

Now we can substitute the values into the equation and solve for K:

-12,600 J = -8.314 J/mol·K * 298 K * ln(K)

Dividing both sides by (-8.314 J/mol·K * 298 K):

ln(K) = -12,600 J / (-8.314 J/mol·K * 298 K)

Calculating the right side of the equation:

ln(K) ≈ 5.023

Now, we can take the exponent of both sides to find K:

K ≈ e^(5.023)

Using a calculator, we find:

K ≈ 151.6

Therefore, the equilibrium constant (K) for the given reaction at 25°C is approximately 151.6.

To know more about equilibrium constant refer here

brainly.com/question/28559466#

#SPJ11

Which of the following terms would be included in an equilibrium constant expression? Select all the apply. Choose one or more: A. N2(g) B. NaCI(s) C. H20(g) D. NH3(g) E. H2O(s) F. H20(

Answers

An equilibrium constant expression is a mathematical representation of the equilibrium between reactants and products in a chemical reaction. The correct answer would be A, D, and F.

An equilibrium constant expression is a mathematical representation of the equilibrium between reactants and products in a chemical reaction. It is written using the concentrations of the reactants and products at equilibrium. The equilibrium constant expression includes only the species that are present in the reaction mixture in the gaseous or aqueous state. Therefore, the terms that would be included in an equilibrium constant expression are N2(g), NH3(g), and H2O(g). NaCI(s) and H2O(s) are solids and are not included in the expression as their concentrations do not change during the reaction. H20( is not a species and cannot be included in the equilibrium constant expression. Therefore, the correct answer would be A, D, and F. It is important to note that the equilibrium constant expression may differ depending on the chemical reaction and the specific conditions of the reaction.

To know more about equilibrium constant expression visit: https://brainly.com/question/29748652

#SPJ11

how many moles of h2s would we expect to be formed by reaction (b) if 3.50 moles of hno3 reacted completely

Answers

1.75 moles of H₂S reacts with 3.5 moles of HNO₃.

According to the balanced equation, the stoichiometric ratio between HNO₃ and H₂S is 2:1.

2 HNO₃ (aq) + Na₂S (aq) → H₂S (g) + 2 NaNO₃ (aq).

This means that for every 2 moles of HNO₃, 1 mole of H₂S is produced. Therefore, if 3.50 moles of HNO₃ react completely, we can calculate the expected moles of H₂S as follows:

Moles of H₂S

[tex]= \frac {(3.50 moles of HNO_{3})}{(2 moles of HNO3 per 1 mole of H_{2}S)}\\= \frac {3.50 moles}{2}\\= 1.75 moles[/tex]

Hence, we would expect the formation of 1.75 moles of H₂S by the reaction if 3.50 moles of HNO₃ reacted completely.

Learn more about moles here:

https://brainly.com/question/30490905

#SPJ4

The complete question is:

How many moles of H₂S would we expect to be formed by reaction (b) if 3.50 moles of HNO₃ reacted completely. 2 HNO₃ (aq) + Na₂S (aq) → H₂S (g) + 2 NaNO₃ (aq).

Other Questions
what modifier identifies the professional component of a service? what percent of total world exports are from tourism? Which one of the following statements best describes the sensory register?a) It encodes information largely in terms of underlying meanings.b) It holds only a small amount of information, selecting things that will probably be important to know.c) It holds only a small amount of information, selecting things more or less at random.d) It holds everything that is sensed without encoding much if any of it. .Free Falling Objects An object falling near the surface of the earth in the absence of air resistance and under only the influence of gravity is said to be a free falling object. This object would accelerate at a rate of: 400 ft . 8 = -9.8" (in the Sl system of measurement) 8=-32" (in the US system of measurement), . a. Write a differential equation to describe the rate of change of the position of the object. b. Solve the DE using method of calculus to find the position of the object at any time-t that is dropped with zero velocity from a 400-foot-tall building. c. What is the position after 3.5 seconds? A professional group known for having a strong culture is a. restaurant greeters. b. chefs. c. hotel managers. d. housekeepers. Write 5 questions that you would ask the scientist about these beetles.Some creatures have creative ways of getting water. Scientists have found that there are beetles that can drink with their butts. Now, they are starting to understand how these insects do it.Red flour beetles dont drink liquid water. Instead, they pull water from the air. The water is in the form of a gas, which is known as vapor.To do this, red flour beetles open their anuses. This is the opening where waste leaves the body. The water vapor condenses into droplets as it touches poop. When something condenses, it changes from a gas to a liquid.Special cells pull this water out of the poop and into the beetles body. Cells are the building blocks of all living things. Scientists reported how these cells work in a study published in March 2023.Amazing Trick Could Help Protect CropsThe scientist who led the study is named Kenneth Halberg. He studies insects, and he said this is an amazing trick. The new finding could help make new pesticides, he says. Pesticides are used to protect the plants we use for food. Pesticides work by killing or keeping away pests. These are insects that destroy the plants we eat. New pesticides could protect crops from beetles. They could also keep bees and other insects safe at the same time.Insect pests destroy a lot food. They get into as much as one-fifth of the worlds food supply every year. Farmers lose money when pests destroy food. Beetles are especially destructive. Some can survive in very dry places, including places where wheat is stored.One way beetles survive is by recycling water out of their poop. Before this study, scientists didnt know how the insects did this. They had an idea, though. They thought it might have to do with a special gene found in red flour beetles. Genes are made up of DNA and control how an animals body works.Red flour beetles have a gene called Nha1. That gene helps control cells near the beetles butts. Scientists thought these cells might help pull water from poop. This new study finally helps explain how.A Creative Way To Solve A ProblemHalbergs team found that Nha1 can make potassium ions build up outside of cells. Ions are particles that have a positive or negative electric charge. This buildup then triggers a process called osmosis. During osmosis, water will move toward areas with a high concentration of ions. This is how water moves from the poop into the rest of the beetles body.The scientists tested a few different things to see if this idea was correct. They looked at when beetles open their butts. They found that beetles do this when there is more water vapor in the air.The scientists also tried turning off the Nha1 gene to see what would happen. When they did that, beetles did not survive as well in dry places. That suggests that they could not recycle water as well anymore.Halberg doesnt know if any other beetles drink through their butts. Red flour beetles might not be the only ones. The finding shows how creative nature can be. In nature, there are many different ways to solve a problem. The pressure 30.0 meters under water is 396 kPa.What is the pressure in atm? What is the pressure in mmHg? You deposit $80 in aninvestment accountthat earns 4.8%annual interestcompounded monthly.Write a function thatrepresents the balancey (in dollars) of theinvestment accountafter t years.y =What is the balance ofthe account after 7years? according to the evolutionary perspective, altruism towards non-kin Which of the following BEST describes the services provided by Third-Party Logistics (3PL) companies? They negotiate prices and terms with your suppliers for the parts that you use in your products and then ship them to you. They warehouse and distribute your products, and potentially perform some other value-added processes. They negotiate with overseas suppliers for movement of good in that country They bundle transportation volumes to leverage riegotiations. Five-month-old Eric picks up his mother's keys and begins to put them in his mouth. His mother takes the keys away from Eric, and he begins to cry. However, as soon as she puts the keys out of sight behind her back, Eric stops crying and becomes interested in something else. This story demonstrates Eric's lack ofa. conservation.b. transformation.c. egocentrism.d. object permanence. Freezing destroys toxins that are present on moldy food. True or False. the two views of presidential power are mostly centered on Maria Young is the sole stockholder of Purl of Great Price Company (POGP Company), which produces high-end knitted sweaters and sweater vests for sale to retail outlets. The company started in January of the current year, and employs three knitters (each of whom work 40 hours per week) and one office manager/knitting supervisor (this employee works 20 hours per week as office manager, and 20 hours per week as knitting supervisor). All wages are paid in cash at the end of each month. Each knitter has a knitting machine that is used about 2/3 of the knitters time, the rest of the knitters time being involved in hand knitting and piecing together the garments. The company also has a packaging machine used to wrap the garments in plastic for shipping, which is operated by the office manager/knitting supervisor approximately 5 hours per week. The knitting machines were purchased on January 1 of the current year, and cost $2,400 each, with an anticipated useful life of 10 years and no salvage value. The packaging machine was purchased on the same date and cost $4,800, with the same anticipated useful life and salvage value. Required:1. Review the data in the Predetermined Factory Overhead Rate panel, and calculate the predetermined factory overhead rate for POGP Company. 2. On December 10, POGP Company receives an order for 200 sweater vests and assigns Job 83 to the order. Review the Materials Requisition panel. A. Journalize the entry to record the addition of the materials to Work in Process. *B. On the Job Cost Sheets panel, add the materials to the Job Cost Sheet for Job 83. 3. On December 15, review the source documents on the Time Tickets panel. A. Journalize the entry to record the addition of direct labor to Work in Process for the period December 1 through December 15. *B. Journalize the entry to record the addition of factory overhead to Work in Process for the period December 1 through December 15. *C. On the Job Cost Sheets panel, add the appropriate amount of direct labor and factory overhead costs to the Job Cost Sheet for Job 62 for the period December 1 through December 15. 4. On December 21, Job 62 is completed. Review the Job Cost Sheets panel and your journal entries. Journalize the entry to move the associated costs to the Finished Goods account. *5. On December 22, 75 of the 100 sweaters from Job 62 are sold on account for $125 each. Journalize the following transactions*:A. The entry to record the sale. B. The entry to record the transfer of costs from Finished Goods to Cost of Goods Sold. 6. On December 31, the last work day of the year for the knitters, review the source documents on the Time Tickets panel. A. Journalize the entry to record the addition of direct labor to Work in Process for the period December 16 through December 31. *B. Journalize the entry to record the addition of factory overhead to Work in Process for the period December 16 through December 31. *C. On the Job Cost Sheets panel, add the appropriate amount of direct labor and factory overhead costs to the Job Cost Sheet for Job 83 for the period December 16 through December 31. 7. On December 31, journalize the following transactions*. Note that expenses (B), (C), and (D) were paid in cash. A. One months depreciation on equipmentB. One months payroll for all employeesC. One months rent of $2,000D. One months utilities of $1,275 name and describe the three layers of the hair shaft antitrust law in _________ poses the possibility of criminal liability, but this is not possible in ______. a. the united states; european union b. the united states; china c. china; the united states Which of the following is true when delta, but not gamma, is used in calculating VaR for options positions?Select one:a. VaR for a long call is too high and VaR for a long put is too high.b. VaR for a long call is too low and VaR for a long put is too high.c. VaR for a long call is too low and VaR for a long put is too low.d. VaR for a long call is too high and VaR for a long put is too low.e. VaR for a long call is too high and VaR for a short put is too high. gases are evenly distributed throughout all levels of the atmosphere. true or false by how much does the mass of a heavy nucleus change as it emits a 4.8 mev gamma ray? TRUE OR FALSE if x represents a random variable coming from a normal distribution and p ( x < 5.3 ) = 0.79 , then p ( x > 5.3 ) = 0.21 .