what metal hydride reducing agent is used in this experiment? what product would be formed if catalytic hydrogenation with h2 were used?

The combination that will produce an insoluble salt is b) MnSO4 Pb(NO2)2.

A salt is a chemical compound made up of cations (positively charged ions) and anions (negatively charged ions) (negatively charged ions). The ions must be combined in such a way that the sum of the charges is zero. NaCl is the most well-known saltand it is made up of sodium cations (Na+) and chloride anions (Cl-).MnSO4 Pb(NO2)2 is the answer since both of these elements are soluble. MnSO4 is a soluble substance that is sometimes used in the production of ceramics.

MnSO4 is often used as a nutritional supplement for animals since it is a good source of manganese. Pb(NO2)2 is a powder that is bright yellow, it has a molar mass of 325.2 g/mol. It is made up of two NO2 anions (negatively charged ions) and one Pb2+ cation (positively charged ion).The formation of insoluble salts can occur when the cations and anions in a reaction solution bind to create a new solid. Since the newly formed solid is insoluble, it settles to the bottom of the solution and can be separated from the liquid through filtration. The insoluble salt that is formed is a white or colorless substance that appears as a powder.

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The entropy change per mole of gas is -1.387R.

The entropy change per mole of gas in a process in which an ideal gas is compressed to one-fourth of its original volume at a constant temperature can be calculated as follows:

Let us denote the original volume as V₁, the final volume as V₂, and the number of moles of the gas as n. The entropy change can be calculated using the formula:

ΔS = nR ln (V₂/V₁)

Therefore, the entropy change per mole of gas is given by:

ΔSper mole = R ln (V₂/V₁)

In this case, V₁ = 4V₂ and so,

ΔSper mole = R ln (1/4) = - R ln 4 = -2.303 R log 4 = -1.387R

Thus, the entropy change per mole of gas when an ideal gas is compressed to one-fourth of its original volume at a constant temperature is -1.387R.

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The most likely identity of the unknown gas that effuses taking 37s is Oxygen(O₂).

Since the unknown gas effuses out faster, it must be lighter than Xe.

The most likely identity of the unknown gas can be determined using Graham's Law of Diffusion. According to this, the time taken for effusion/diffusion of two different gases under identical conditions is directly proportional to the square roots of their densities or molecular masses. It is given as:

t₂/t₁ = √(M₂/M₁)

where t₂,t₁ are the times taken and M₂, M₁ are the molecular masses.

This ratio is determined by the ratio of the molecular weights of the unknown gas and the sample of Xe. The heavier the molecular weight, the slower the rate of effusion.

Rearranging and plugging in the values as t₂= 75s, t₁= 37s,  M₁= 131g (for Xe), we get M₂ as follows:

M₂= (37/75)² x 131 = 31.8 ≈ 32g

32g corresponds to the molecular weight of O₂ and it is lighter than Xe.

Therefore, the unknown gas that effuses out of the container faster than the sample of Xe, resulting in the unknown gas taking 37 seconds, and the sample of Xe taking 75 seconds is oxygen(O₂).

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Phenolphthalein is a commonly used indicator in acid-base titrations because it changes color at a pH around 8.2-10.0.

Phenolphthalein itself is a weak acid and has a specific equilibrium between its acidic and basic forms. When added to an acidic solution, it is predominantly in the acidic form and colorless. As the titration progresses and the solution becomes more basic, the equilibrium shifts towards the basic form which is pink.

The amount of indicator used in the titration should be kept to a minimum to avoid affecting the accuracy of the results. Using too much indicator can affect the stoichiometry of the reaction, leading to inaccurate results.

Therefore, only a small amount of phenolphthalein, typically two drops, is used to minimize its impact on the titration while still providing a clear visual indication of the endpoint.

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The pH of hydroxylamine will be 8.76.

The first step is to write the balanced equation for the reaction of hydroxylamine with water:

NH₂OH + H₂O ⇌ NH₃OH⁺ + OH⁻

The Kb expression for this reaction is:

Kb = [NH₃OH⁺][OH⁻] / [NH₂OH]

We are given the Kb value as 6.6 x 10⁻⁹, so we can use this to find the concentration of hydroxylamine that has been deprotonated:

Kb = [NH₃OH⁺][OH⁻] / [NH₂OH]

6.6 x 10⁻⁹ = x² / (0.050 - x)

Assuming that x is very small compared to 0.050, we can simplify the expression as follows:

6.6 x 10⁻⁹ = x² / 0.050

x² = 3.3 x 10⁻¹⁰

x = 5.7 x 10⁻⁶ M

Now that we have the concentration of hydroxide ions, we can use this to find the pH of the solution:

pOH = -log[OH-] = -log(5.7 x 10⁻⁶) = 5.24

pH = 14.00 - pOH = 8.76

Therefore, the pH of a 0.050 M solution of hydroxylamine is 8.76.

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The molar mass of the unknown monoprotic organic acid is 180.0 g/mol. by titration. If 6.12 ml of the naoH solution is required to neutralize the sample.

In order to determine the molar mass of the unknown monoprotic organic acid, follow the steps given below:

Step 1:

Calculate the number of moles of NaOH used in the titration by using the formula given below:

n(NaOH) = M(NaOH) × V(NaOH)

= 0.157 mol/L × 0.00612 L

= 9.62 × 10^-4 mol

Step 2:

Calculate the number of moles of the acid used in the titration by using the formula given below:

n(acid) = n(NaOH)

= 9.62 × 10^-4 mol

Step 3:

Calculate the mass of the acid used in the titration by using the formula given below:

mass(acid) = n(acid) × M(acid) = 0.173 gM(acid) = mass(acid) / n(acid)

= 0.173 g / 9.62 × 10^-4 mol

= 180.0 g/mol

Therefore, the molar mass of the unknown monoprotic organic acid is 180.0 g/mol.

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Answer: In the movie Dark Waters, the call from the Kigers is significant because it leads to the discovery of a link between unexplained cattle deaths and pollution caused by the chemical company DuPont.

Explanation: In the movie Dark Waters, the call from the Kigers is the key moment that sets off the plot. The Kigers, who are farmers in West Virginia, call Robert Bilott, a corporate defense attorney, and ask for his help in investigating the strange deaths of their cattle. Bilott is reluctant to take on the case at first, but he eventually agrees to visit the Kigers' farm and see the situation for himself.

During his visit, Bilott discovers that the Kigers are just one of many families in the area who have experienced unexplained deaths and illnesses among their livestock, as well as health problems among their own family members. Bilott begins to suspect that the cause of these health issues is pollution from a nearby chemical plant owned by DuPont, a multinational chemical company.

Bilott takes on the case and begins a long and difficult legal battle against DuPont, uncovering evidence that the company had long known about the dangers of the chemicals it was using - specifically a substance called PFOA, which was used in the production of Teflon - but had covered up the evidence and misled regulators and the public about the risks.

In the end, the call from the Kigers is significant because it leads to the discovery of a link between unexplained cattle deaths and pollution caused by DuPont, and sets off a series of events that ultimately lead to the exposure of corporate wrongdoing and the pursuit of justice for those affected by the pollution. The Kigers' call is a catalyst for change, prompting Bilott to take action and exposing the truth about a powerful and deceitful corporation.

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The concentration of perchlorate ion in the solution that has a ph of 3.158 is 7.9 × 10−4 M.

Perchloric acid has the chemical formula HClO4. When it dissolves in water, it completely dissociates into H+ ions and ClO4- ions. The pH of a solution is defined as the negative logarithm of the hydrogen ion concentration [H+].A perchloric acid solution with a pH of 3.158 has an [H+] of 7.9 × 10−4 M, according to the following formula:

pH = −log [H+]

The concentration of the perchlorate ion [ClO4-] can be calculated using the following formula:

Kw = [H+][OH-] = 1 × 10-14 = [H+]2[H+] = 1 × 10-14[H+] = √(1 × 10-14) = 1 × 10-7M[OH-] = Kw/[H+] = (1 × 10-14) / (1 × 10-7) = 1 × 10-7M

The concentration of ClO4- is equal to the concentration of H+ because they are present in equal amounts as a result of complete dissociation of perchloric acid: [ClO4-] = [H+] = 7.9 × 10−4 M.

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In 1.2 x [tex]10^{24}[/tex] formula units of [tex]Li_{2} (SO)_{4}[/tex], there are roughly 1.993 moles of

[tex]Li_{2} (SO)_{4}[/tex].

Using Avogadro's number, or 6.022 x [tex]10^{23}[/tex] molecules/mol, we can calculate the number of moles of Li2SO4 in 1.2 x [tex]10^{24}[/tex]formula units.

First, we need to figure out how many moles of [tex]Li_{2} (SO)_{4}[/tex]  are needed to equal 1.2 x [tex]10^{24}[/tex]  formula units:

Formula units equal 6.022 x [tex]10^{23}[/tex] per mole of [tex]Li_{2}(SO)_{4}[/tex].

As a result, there are: 1.2 x [tex]10^{24}[/tex] moles of [tex]Li_{2}(SO)_{4}[/tex] in the formula units.

1.993 moles are equal to 1.2 x [tex]10^{24}[/tex] formula units / 6.022 x [tex]10^{23}[/tex] formula units/mol.

Hence, 1.2 × [tex]10^{24}[/tex] formula units of [tex]Li_{2} (SO)_{4}[/tex] contain about 1.993 moles.

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The unit of measurement for a surface area that has degrees Fahrenheit as the height and time as the width would be square degrees Fahrenheit x time.

Surface area is a measurement of the total area that the surface of an object occupies. The surface area is measured in square units. If the surface of an object is rectangular or square, it is calculated by multiplying the length of the object by the width of the object. For the curved surfaces, the formula for the surface area is complicated. However, the concept of square units remains the same for curved surfaces.

Fahrenheit is a unit of temperature that is used to measure the temperature of an object. This is used primarily in the United States and other countries that have adopted the Imperial system of units. It is based on a scale of 180 degrees between the freezing and boiling points of water, where the freezing point is 32°F and the boiling point is 212°F.

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The pressure of the gas is approximately 4.57 atm or 438.629 kPa

The Ideal gas law or general gas equation states that "the pressure multiplied by volume is equal to moles multiply by the universal gas constant multiply by temperature.

It is expressed as;

PV = nRT

Where P is pressure, V is volume, n is the amount of substance, T is temperature and R is the ideal gas constant ( 0.08206 Latm/molK )

Given that;

First, we need to convert the temperature to Kelvin:

T (K) = T (Celsius) + 273.15

T (K) = 93.5 + 273.15

T (K) = 366.65 K

Now we can substitute the given values into the formula:

PV = nRT

P = nRT / V

P = ( 6 × 0.08206 × 366.65 ) / 41.7

P = 4.33 atm

Convert to kPa by multiplying the pressure value by 101.3

P = ( 4.33 × 101.3 ) kPa

P = ( 4.33 × 101.3 ) kPa

P = 438.629 kPa

The pressure is approximately 4.57 atm or 438.629 kPa.

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Answer: Phase change from solid to gas will have a more dramatic increase in entropy.

This is because gas has the highest entropy of all phases. Gas has the highest entropy because its molecules are moving randomly, and it has the greatest amount of disorder. In addition, the transition from solid to gas involves both increasing temperature and changing the arrangement of particles from an ordered solid to a disordered gas. This results in a significant increase in entropy.

Phase transition refers to the process of changing from one phase of matter to another. When a substance changes from one phase to another, its entropy changes. Entropy refers to the degree of disorder or randomness in a system, and it is related to the number of ways that a system can be arranged. When the degree of disorder increases, the entropy also increases.

In summary, phase change from solid to gas has a more dramatic increase in entropy. This is because gas has the highest entropy of all phases, and the transition from solid to gas involves both increasing temperature and changing the arrangement of particles from an ordered solid to a disordered gas, resulting in a significant increase in entropy.



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Answer : There are 5 water molecules per formula unit of the hydrate.

In order to calculate the number of water molecules in a hydrate, we first need to understand what a hydrate is. A hydrate is a compound that contains water molecules bound within its crystal structure. The water molecules are referred to as “water of hydration” and are typically present in a fixed ratio to the other molecules in the compound.

The formula for a hydrate can be written as: AxBy * zH2O, where x and y represent the number of ions in the anhydrous salt and z represents the number of water molecules per formula unit. In order to calculate z, we need to use the information provided in the question. The question tells us that we have 0.02 mol of anhydrous salt and 0.1 mol of water in the sample. we need to divide the number of moles of water by the number of moles of anhydrous salt.

0.1 mol of water / 0.02 mol of anhydrous salt = 5. This means that for every mole of anhydrous salt, there are 5 moles of water. Therefore, the formula for the hydrate can be written as: AxBy * 5H2O. This means that there are 5 water molecules per formula unit of the hydrate. Therefore, z is equal to 5.

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The equilibrium reaction for the formation of cobalt(II) complex when cobalt(II) chloride is dissolved in ethanol and then water is added is given by the following equation:

CoC₂l + 4 ethanol → Co(C₂H₅OH)₄Cl₂

When the cobalt(II) chloride is dissolved in ethanol, a cobalt(II) complex is formed. The complex is a tetrahedral molecule with four ethanol molecules attached to the cobalt ion. When water is added, it causes the equilibrium reaction to shifting to the right, with more of the cobalt(II) complex being formed. This is because the water molecules can displace the ethanol molecules from the complex, allowing the complex to form. The reaction can be expressed as:

CoC₂H₅OH)₄Cl₂ + 4 H₂O ↔ Co(H₂O)₄Cl₂ + 4 C₂H₅OH

In conclusion, the equilibrium reaction for the formation of cobalt(II) complex when cobalt(II) chloride is dissolved in ethanol and then water is added can be given as:

CoCl₂ + 4 ethanol → Co(C₂H₅OH)₄Cl₂ + 4 H₂O ↔ Co(H₂O)₄Cl₂ + 4 C₂H₅OH.

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A solution with eggs has a [H⁺] of 1×10⁻⁸ M is basic in nature which has more pH of 8  which is slightly alkaline, but still considered neutral.

In chemistry, a solution is a homogeneous mixture of two or more substances in relative amounts that can be varied constantly up to the limit of solubility. The term "solution" refers to the liquid state of matter, but solutions of gases and solids are also conceivable. For example, air is a solution made up primarily of oxygen and nitrogen, with trace quantities of several other gases, whereas brass is a solution made up of copper and zinc. The liquid in a solution is known as the solvent, and the substance introduced is known as the solute. If both components are liquids, the difference becomes meaningless; the one with the lower concentration is likely to be referred to as the solute. Any component's percentage in a solution can vary.

pH is directly proportional to hydrogen ion concentration.

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A solution with eggs has a [H⁺] of 1×10⁻⁸ M is basic in nature which has more pH of 8  which is slightly alkaline, but still considered neutral. The correct option is B.

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Complete question:

A solution with eggs has a [H+] of 1×10−8 M.

Which type of solution is this?

Responses

A. ionic

B. basic

C. acidic

D. neutral

The activation energy of the reaction, given that the rate constant has tripled when the temperature rose from 25 °C to 65 °C, is 42.6 kJ/mole.


Activation energy is the minimum energy required for a reaction to take place. It is calculated using the Arrhenius equation, which states that the rate constant, k, is proportional to the exponential of negative activation energy (Ea) divided by the gas constant (R) multiplied by the absolute temperature (T).

As the rate constant has tripled when the temperature increased, the activation energy can be calculated as Ea = -R * (1/T2 - 1/T1).

Plugging in the given temperature values of 25 °C and 65 °C and the gas constant, R, the activation energy is 42.6 kJ/mole.

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The masses of calcium chloride (CaCl2) and water used to form the mixture are 61.18 g and 134.22 g, respectively.

The mass of calcium chloride (CaCl2):
The percentage of calcium chloride (CaCl2) in the mixture is 31.5%.

Multiply the total mass of the mixture (195.4 g) by 31.5% to find the mass of calcium chloride (CaCl2) in the mixture:
Mass of calcium chloride (CaCl2) = (195.4 g) x (31.5%) = 61.18 g

The mass of water:
Subtract the mass of calcium chloride (CaCl2) from the total mass of the mixture (195.4 g) to find the mass of water in the mixture:

Mass of water = (195.4 g) - (61.18 g) = 134.22 g

Therefore, masses of calcium chloride (CaCl2) and water used to form the mixture are 61.18 g and 134.22 g, respectively.

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To calculate the mass of CH4N2O dissolved,

we need to follow these steps:

1. Determine the freezing point depression:
ΔTf = T(freezing point of pure X) - T(freezing point of solution) = -0.10°C - (-2.1°C) = 2°C

2. Calculate the molality (m) of the solution using the freezing point depression constant (Kf) and the freezing point depression (ΔTf):
ΔTf = Kf × m
m = ΔTf / Kf = 2°C / 2.85°C·kg/mol = 0.7018 mol/kg

3. Find the moles of CH4N2O in the solution:
moles of CH4N2O = molality × mass of solvent (in kg)
moles of CH4N2O = 0.7018 mol/kg × 0.600 kg = 0.4211 mol

4. Calculate the mass of CH4N2O using its molar mass (60.06 g/mol):
mass of CH4N2O = moles × molar mass = 0.4211 mol × 60.06 g/mol = 25.29 g

Rounded to 2 significant digits,

the mass of CH4N2O dissolved is 25 g.

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Answer:Gco is 0.953

Explanation:

The first and second ionization of a diprotic acid cannot be treated as completely separate reactions when the reaction is taking place in an environment with a fixed pH.

The second ionization of the acid is dependent on the concentration of the ions produced from the first ionization.

If the pH is fixed, then the concentration of the first ionization is also fixed, so the second ionization will not occur completely independently.

For example, a diprotic acid such as oxalic acid can be completely ionized in two steps. In the first ionization, the hydrogen ions of the oxalic acid are replaced with hydroxide ions, forming the oxalate ion:

H2C2O4 + 2H2O → H3O+ + HC2O4–

In the second ionization, the oxalate ion is further dissociated, forming two separate anions and hydronium ions:

HC2O4– + H2O → H3O+ + C2O4–2

However, in an environment with a fixed pH, the second ionization will not take place as the concentration of oxalate ions from the first ionization is fixed.

Therefore, the two ionizations must be treated together in order to accurately predict the final concentrations of the products.

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Answer:

The first ionization constant is greater than the second ionization constant by only a factor of 10.

Explanation:

The two ionization constants must differ by a factor of at least 20 in order to treat the first and second ionizations as chemically (and mathematically) distinct.

The empirical formula of the organic compound is C1H1O1 and the simplified form is CHO.

To find the empirical formula of the compound, we need to determine the mole ratios of the elements in the compound.

First, we need to find the number of moles of CO2 and H2O produced by the combustion of 0.1000 g of the compound:

moles of CO2 = 0.2921 g / 44.01 g/mol = 0.006639 mol

moles of H2O = 0.0951 g / 18.02 g/mol = 0.005275 mol

Next, we need to find the number of moles of C and H in the compound. From the combustion reactions, we know that all of the carbon in the compound is converted to CO2, and all of the hydrogens are converted to H2O.

Therefore, the number of moles of C and H in the compound is equal to the number of moles of CO2 and H2O produced, respectively:

moles of C = 0.006639 mol

moles of H = 0.005275 mol

Finally, we need to find the number of moles of O in the compound. We can do this by subtracting the number of moles of C and H from the total number of moles of elements in the compound, which is equal to the mass of the compound divided by its molar mass:

moles of O = (0.1000 g / molar mass of compound) - moles of C - moles of H

The molar mass of the compound is equal to the sum of the molar masses of its constituent elements:

molar mass of compound = molar mass of C + molar mass of H + molar mass of O

Since we don't know the formula of the compound yet, we can assume a generic formula of CxHyOz and calculate the molar mass of this compound as:

molar mass of compound = x(molar mass of C) + y(molar mass of H) + z(molar mass of O)

Using the atomic masses of C, H, and O, we can calculate the molar masses of these elements as:

molar mass of C = 12.01 g/mol

molar mass of H = 1.01 g/mol

molar mass of O = 16.00 g/mol

Substituting these values, we get:

molar mass of compound = 12.01x + 1.01y + 16.00z

Now, we can solve for the number of moles of O in the compound:

moles of O = (0.1000 g / molar mass of compound) - moles of C - moles of H

Substituting the values we found earlier for moles of C and H, we get:

moles of O = (0.1000 g / (12.01x + 1.01y + 16.00z)) - 0.006639 mol - 0.005275 mol

Simplifying, we get:

moles of O = 0.1000 g / (12.01x + 1.01y + 16.00z) - 0.011914 mol

To determine the empirical formula of the compound, we need to find the smallest whole number mole ratio of the elements in the compound. We can do this by dividing the number of moles of each element by the smallest number of moles:

moles of C / 0.005275 = 1.259

moles of H / 0.005275 = 1.000

moles of O / 0.005275 = (0.1000 g / (12.01x + 1.01y + 16.00z) - 0.011914 mol) / 0.005275

Simplifying, we get:

moles of O / 0.005275 = 18.998 - (1.258x + y)

To find the smallest whole number ratio, we can multiply each mole ratio by a common factor that makes the smallest ratio a whole number. In this case, the smallest ratio is 1:1, so we can multiply each ratio by a factor of approximately 0.79 to make the C and H ratios both equal to 1. This gives us:

C: 1.000

H: 0.790

O: 1.484

Since we want whole numbers, we can round these ratios to the nearest whole number, giving us the empirical formula: C1H1O1 or simply CHO.

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2.62 moles of glucose can react with 15.7 moles of oxygen. The balanced chemical equation for the combustion of glucose is:

C6H12O6 + 6O2 → 6CO2 + 6H2O

From the equation, we can see that for every mole of glucose that reacts, 6 moles of oxygen are required. Therefore, the number of moles of glucose that can react with 15.7 moles of oxygen can be calculated as follows:

Number of moles of glucose = (Number of moles of oxygen) / 6

Number of moles of glucose = 15.7 / 6

Number of moles of glucose = 2.62

Therefore, 2.62 moles of glucose can react with 15.7 moles of oxygen.

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The volume of 0.150 M HNO3 that can be prepared from 0.350 L of 1.98 M HNO3 is 0.07112 L, or approximately 71.12 mL (since 1 L = 1000 mL).

The given equation is used to calculate the volume (V1) of a desired concentration of a solution (0.150 M HNO3) that can be prepared from a given volume (V2) of a known concentration solution (1.98 M HNO3), using the ratios of their concentrations (C1 and C2).

Let's break down the calculation step by step using the given values:

V2 (given volume) = 0.350 L

C1 (desired concentration) = 0.150 M

C2 (known concentration) = 1.98 M

Plugging these values into the equation, we get:

V1 (0.150 M HNO3) = V2 (1.98 M HNO3) x (C1 (0.150 M) / C2 (1.98 M))

V1 = 0.350 L x (0.150 M / 1.98 M)

V1 = 0.350 L x 0.0758

V1 = 0.07112 L

Therefore, the volume of 0.150 M HNO3 that can be prepared from 0.350 L of 1.98 M HNO3 is 0.07112 L, or approximately 71.12 mL (since 1 L = 1000 mL).

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The equation for the ionization of a weak acid in water is HA + H₂O ⇌ H₃O⁺ + A⁻, and the equilibrium constant expression for this reaction is K = [H₃O⁺ ][A⁻]/[HA].

The ionization of a weak base in water is B + H₂O ⇌ OH⁻ + BH+, and the equilibrium constant expression for this reaction is K = [OH⁻][BH⁺]/[B].

Weak acids and bases partially dissociate into their ions in aqueous solutions. For a weak acid, HA, the equilibrium expression for its ionization is HA + H₂O ⇌  H₃O⁺  + A⁻, and the corresponding equilibrium constant expression is K = [ H₃O⁺ ][A-]/[HA].

The same process happens with a weak base, B, where the equilibrium expression is B + H₂O ⇌ OH⁻ + BH⁺, and the corresponding equilibrium constant expression is K = [OH⁻][BH⁺]/[B]. Thus, the equations for the ionization of both weak acids and bases and the corresponding equilibrium constant expressions can be

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The number of moles of Helium gas that could occupy the container when the volume is increased to 500 mL is 9.05 mol.

We can use the combined gas law to solve this problem:

(P1 x V1) / (n1 x T1) = (P2 x V2) / (n2 xT2)

where;

We know that the pressure and temperature are constant, so we can simplify the equation to:

V1/n1 = V2/n2

Solving for n2, we get:

n2 = (V2n1) / V1

Plugging in the values, we get:

n2 = (500 mL * 4.00 mol) / 221 mL

n2 = 9.05 mol

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The problem can be solved using Boyle's Law. The final pressure of the gas in the cylinder is 289.31 Pa.

Boyle's law is a gas law that describes the relationship between the pressure and volume of a gas at a constant temperature. Boyle's Law states that the pressure and volume of a gas are inversely proportional when temperature is held constant. Mathematically, it can be expressed as:

P₁V₁ = P₂V₂

where P₁ and V₁ are the initial pressure and volume, and P₂ and V₂ are the final pressure and volume.

We can plug in the given values to solve for the final pressure:

P₁ = 156 Pa

V₁ = 910 mL = 0.91 L

V₂ = 490 mL = 0.49 L

P₁V₁ = P₂V₂

156 Pa × 0.91 L = P₂ × 0.49 L

P₂ = (156 Pa × 0.91 L) / 0.49 L

P₂ = 289.31 Pa

Therefore, the final pressure is 289.31 Pa.

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The partial pressure of CH₄ in the mixture is 239 torr.

We can use the mole fraction of methane (CH4) to calculate its partial pressure in the mixture. First, we need to convert the masses of each component into moles:

moles of CH₄ = 90.0 g / 16.04 g/mol = 5.61 mol

moles of Ar = 10.0 g / 39.95 g/mol = 0.250 mol

Next, we can calculate the total moles of gas in the mixture,

total moles = moles of CH₄ + moles of Ar = 5.61 mol + 0.250 mol = 5.86 mol

Now we can calculate the mole fraction of CH₄,

mole fraction of CH₄ = moles of CH₄ / total moles = 5.61 mol / 5.86 mol = 0.957

Finally, we can use the mole fraction and total pressure to calculate the partial pressure of CH₄,

partial pressure of CH₄ = mole fraction of CH₄ x total pressure = 0.957 x 250 torr = 239 torr

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0.493 is the equilibrium constant (k p ) for [tex]PCl_5[/tex] (g) ⇌ [tex]PCl_3[/tex] (g) + [tex]Cl_2[/tex] (g) reaction at 500k.

The reaction is given as

[tex]PCl_5[/tex] (g) ⇌ [tex]PCl_3[/tex] (g) + [tex]Cl_2[/tex] (g)

At 500 K, the partial pressure of [tex]PCl_5[/tex] is 0.860 atm, [tex]PCl_3[/tex] is 0.350 atm, and [tex]Cl_2[/tex] is 1.22 atm.

To calculate the equilibrium constant ([tex]K_P[/tex]) for this reaction, we need to use the equation

[tex]K_P[/tex] = [[tex]PCl_3[/tex]] [[tex]Cl_2[/tex]] / [[tex]PCl_5[/tex]]

Here, [[tex]PCl_5[/tex]] = 0.860 atm

[[tex]PCl_3[/tex]] = 0.350 atm

[[tex]Cl_2[/tex]] = 1.22 atm

Substituting these values, we get

[tex]K_P[/tex] = (0.350)(1.22) / 0.860

[tex]K_P[/tex] = 0.493

Therefore, the equilibrium constant ([tex]K_P[/tex]) for this reaction at 500 K is 0.493.

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(a) We would need 7 pies to serve a slice of pie with each cup of hot chocolate.

(b) There would be 6 slices of pie left over.

From item 6, we know that there are 50 cups of hot chocolate to be served.

Since each pie can be cut into 8 slices, we would need to serve 50/8 = 6.25 pies.

Since we cannot serve a fractional pie, we would need to round up to the next whole number of pies, which is 7.

To find out how many slices of pie would be left over, we need to calculate the total number of slices of pie and subtract the number of slices used to serve the hot chocolate.

Total number of slices of pie = 7 pies x 8 slices per pie = 56 slices

Number of slices used to serve the hot chocolate = 50 slices

Therefore, the number of slices of pie left over would be:

56 slices - 50 slices = 6 slices

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Picric acid and phenol, Salicylic acid and phenol & Benzylamine and aniline can be separated using liquid-liquid extraction but Triethylamine and diethylamine & 3-nitrobenzoic acid and 2-nitrobenzoic acid cannot be separated using liquid-liquid extraction.

1. Picric acid and phenol can be separated using liquid-liquid extraction. Picric acid is a stronger acid (pKa ~0.4) than phenol (pKa ~10). Adding aqueous NaOH will deprotonate picric acid and make it soluble in the aqueous layer, while phenol remains in the organic layer. Then, the two compounds can be separated.
2. Salicylic acid and phenol can also be separated using liquid-liquid extraction. Salicylic acid (pKa ~3) is more acidic than phenol (pKa ~10). Adding aqueous NaHCO3 will deprotonate salicylic acid, making it soluble in the aqueous layer, while phenol remains in the organic layer. The compounds can then be separated.
3. Triethylamine and diethylamine cannot be easily separated via liquid-liquid extraction, as both are bases (pKb values are similar). Aqueous HCl, NaOH, or NaHCO3 will not be effective in separating these compounds. Alternative separation methods, like distillation, may be needed.
4. 3-nitrobenzoic acid and 2-nitrobenzoic acid cannot be separated using liquid-liquid extraction, as they have similar acidity (pKa values are close) and will react similarly with HCl, NaOH, or NaHCO3. Alternative separation methods, like chromatography, should be considered.
5. Benzylamine and aniline can be separated using liquid-liquid extraction. Benzylamine is a weaker base (pKb ~4.2) than aniline (pKb ~9.4). Adding aqueous HCl will protonate aniline, making it soluble in the aqueous layer, while benzylamine remains in the organic layer. The two compounds can then be separated.

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