how many grams of MgCl2 are contained in 0.50 L kc a 1.5 m solution?

Answers

Answer 1

0.50 L of a 1.5 m solution contains 71.4 grams of MgCl2.

To solve this problem

The equation moles of solute = molarity x volume (in liters) can be used.

When converting to grams, we may use the molar mass of the MgCl2 to determine how many moles there are in the solution.

MgCl2 has a molar mass of roughly 95.21 g/mol.

The volume must first be changed from liters to milliliters:

0.50 L = 500 mL

Next, we may determine how many moles of MgCl2 are present in the solution:

moles of MgCl2 = molarity x volume (in liters)

moles of MgCl2 = 1.5 mol/L x 0.50 L

moles of MgCl2 = 0.75 moles

Finally, we can figure out how much MgCl2 is present in the solution:

mass of MgCl2 = moles of MgCl2 x molar mass

mass of MgCl2 = 0.75 moles x 95.21 g/mol

mass of MgCl2 = 71.4 grams

Therefore, 0.50 L of a 1.5 m solution contains 71.4 grams of MgCl2.

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Related Questions

Hydrazine, N2H4, reacts with oxygen to form nitrogen gas and water.

N2H4(aq)+O2(g)⟶N2(g)+2H2O(l)

If 3.45 g of N2H4 reacts with excess oxygen and produces 0.650 L of N2, at 295 K
and 1.00 atm, what is the percent yield of the reaction?

Answers

Four peripheral hydrogen atoms and two singly-bonded nitrogen atoms make up the molecule of hydrazine.

Thus, It is a colourless, poisonous irritant and sensitizer in its anhydrous form, which harms the central nervous system and causes symptoms as severe as tumours and convulsions.

In addition to having a strong reducing agent that makes it highly explosive, hydrazine has a strong smell that is similar to that of ammonia.

Given this, it appears odd that over 100,000 metric tonnes of the substance are produced annually throughout the world. But hydrazine does have an impact on our daily activities. It can save our lives, give us food and clothing, keep us warm, and even transport us to the moon. It even has the ability to go back in time.

Thus, Four peripheral hydrogen atoms and two singly-bonded nitrogen atoms make up the molecule of hydrazine.

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A saturated solution of a salt was made by adding 36.00 g to 150.0 g water. There was 5.00 g of salt on the bottom that didn't dissolve. What is the % solubility of the salt ?

Answers

Answer:

The mass of the salt that dissolved is:

36.00 g - 5.00 g = 31.00 g

The % solubility of the salt can be calculated using the formula:

% solubility = (mass of solute dissolved ÷ mass of saturated solution) × 100%

The mass of the saturated solution is:

36.00 g + 150.0 g = 186.00 g

Therefore, the % solubility of the salt is:

(31.00 g ÷ 186.00 g) × 100% = 16.67%

The % solubility of the salt is 16.67%.

Explanation:

The empirical formula of caffeine is C4H5N2O. If the molar mass of caffeine is 194.19 g/mol, what is the molecular formula of caffeine?

Answers

The molecular formula of caffeine is  C₈H₁₀N₄O₂

To find the molecular formula of caffeine, we need to determine the ratio of the empirical formula to the actual molecular formula. The empirical formula gives us the smallest whole-number ratio of atoms in a compound, while the molecular formula gives us the actual number of atoms of each element in a molecule.

First, we need to calculate the empirical formula mass of caffeine:

Empirical formula mass = (4 x atomic mass of carbon) + (5 x atomic mass of hydrogen) + (2 x atomic mass of nitrogen) + (1 x atomic mass of oxygen)

Empirical formula mass = (4 x 12.01 g/mol)+ (5 x 1.01 g/mol) + (2 x 14.01 g/mol) + (1 x 16.00 g/mol)

Empirical formula mass = 96.09 g/mol

Next, we can calculate the ratio of the molar mass of caffeine to the empirical formula mass:

Ratio = Molecular mass / Empirical formula mass

Ratio = 194.19 g/mol / 96.09 g/mol

Ratio = 2.02

This ratio tells us that the molecular formula of caffeine is approximate twice the size of the empirical formula. To find the molecular formula, we can multiply the subscripts in the empirical formula by the ratio:

C₄H₅N₂O × 2 = C₈H₁₀N₄O₂

Therefore, the molecular formula of caffeine is C₈H₁₀N₄O₂.

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please can someone fill the blanks, and/or tell me if this information SO FAR is accurate
it's just about pH levels, bases and acids

Answers

The acid base indicators or neutralization indicators are the substances which are employed for the visual detection of the end point in acid base titrations on account of their ability to change colour during the pH change that occurs in vicinity of the end point.

The characteristic pH range in which an acid-base indicator changes colour is called the colour change interval. This varies widely with different indicators. For water pH = 7, acidic solution has pH < 7 and basic solution has pH > 7.

The correct order of pH is:

13 > 10 > 9 > 6 > 4 > 3

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A soft drink contains 33g of sugar in 349g of H2O. What is the concentration of sugar in the soft drink in mass percent?

.

Answers

A soft drink contains 33g of sugar in 349g of H[tex]_2[/tex]O. 14.3%  is the concentration of sugar in the soft drink in mass percent.

One approach to indicate the concentration of any dissolved component in a solution is by mass percentage. Mass percentage is the ratio of the total weight of a compound in a solution to the overall mass of the solution, expressed in percentages.

In order to express the mass percent of a solution, the grammes of solute are divided by the grammes of solution, and the result is multiplied by 100. As long as you use a comparable number for both the component and solute mass.

Mass percent = (mass of solute/mass of solute+ mass of solvent)×100

                      = ( 33/ 33+ 349)×100

                       =14.3%

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HELP PLEASE!! DUE IN A FEW MINUTES!!

Answers

1) Aluminum and indium are in the same group

2) Barium is in group 2 and period 6

What is the periodic table?

The names of the compounds are;

Triphosphorous tetrachloride

Calcium bromide

Nitrogen hexasulfur

The molecules that balance the charges are;

K3P, Al2O3, CaS

The elements in group 17 are chlorine and fluorine

The elements in period 3 are sodium and magnesium.

The balanced equations are from the data given;

SnO2 + 2H2 → Sn + 2H2O

4Al + 3O2 → 2Al2O3

Au2S3 + 3H2 → 2Au + 3H2S

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Can someone please help? And quickly if you can thank you!

Answers

The concept ideal gas equation is used here to determine the number of moles. The ideal gas law is the equation of state of a hypothetical ideal gas. Here the number of moles of gas is 0.17.

The equation which is formed by the combination of Boyle's law, Charles's law and Avogadro's law is called the ideal gas equation. An ideal gas is a theoretical gas composed of a set of randomly moving point particles which interact through elastic collisions.

The ideal gas equation is:

PV = nRT

n = PV / RT

10°C = 283 K

Number of moles is:

n = 1.2 × 3.4 / 0.0821 × 283 = 0.17

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S8 + 12O2 -------> 8SO3
If you start with 873.2 g of S8 and 859.3 g of O2, what mass of SO3 will be produced?

Answers

To determine the mass of SO3 produced, we need to use stoichiometry to find the limiting reactant and the theoretical yield of SO3.

The balanced chemical equation is:

S8 + 12O2 → 8SO3

The molar mass of S8 is 256.52 g/mol. Therefore, the number of moles of S8 is:

n(S8) = mass / molar mass = 873.2 g / 256.52 g/mol = 3.4 mol

The molar mass of O2 is 32.00 g/mol. Therefore, the number of moles of O2 is:

n(O2) = mass / molar mass = 859.3 g / 32.00 g/mol = 26.85 mol

According to the balanced chemical equation, the stoichiometric ratio of S8 to O2 is 1:12. Therefore, the number of moles of O2 needed to react with all of the S8 is:

n(O2) needed = n(S8) × 12 = 3.4 mol × 12 = 40.8 mol

Since the number of moles of O2 available (26.85 mol) is less than the number of moles of O2 needed (40.8 mol), O2 is the limiting reactant.

The theoretical yield of SO3 is based on the number of moles of O2 used. Since 12 moles of O2 are required to produce 8 moles of SO3, the number of moles of SO3 produced is:

n(SO3) = n(O2) × (8/12) = 26.85 mol × (8/12) = 17.90 mol

The molar mass of SO3 is 80.06 g/mol. Therefore, the mass of SO3 produced is:

mass(SO3) = n(SO3) × molar mass = 17.90 mol × 80.06 g/mol = 1433 g

Therefore, the mass of SO3 produced is 1433 g.

Assuming that the mass defect originates solely from the interactions of protons and neutrons in the nucleu, estimate the nuclear binding energy of Li given yhe following data.observee atomic mass (a.m.u) of Li is 7.01600u
1u=1.66054×10^-27kg
Electron rest mass= 9.10939×10^-31kg
Proton rest mass=1.67262×10^-27kg
Neutron rest mass=1.67493×10^-27kg
C=2.998×10^8

Answers

The mass lost in the formation of a nucleus is converted into energy in accordance with the Einstein's mass energy relationship and released, thereby tending to impart stability to the nucleus.

An input of the same amount of energy referred to as the binding energy would be required to decompose the nucleus into its component nucleons. So the energy released from the nucleons during the formation of a nucleus is called the binding energy.

No: of protons in 'Li' = 3

No: of neutrons in 'Li' = 4

Total mass of nucleons = 3(1.67262×10⁻²⁷) + 4 (1.67493×10⁻²⁷) = 1.171 × 10⁻²⁶ kg

Mass defect = 1.171 × 10⁻²⁶ - 1.165 × 10⁻⁻²⁶ = 6 × 10⁻²⁹

Binding energy = Δmc² = 6 × 10⁻²⁹ × (2.998×10⁸)² = 5.392 × 10⁻¹² J

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3 CO + Fe₂O3 --->2 Fe + 3 CO2
what is the mole ratio of carbon monoxide reacting to the amount of
carbon dioxide being produced?

Answers

The mole ratio of CO to CO2 in the given chemical equation is 3:3, which can be simplified to 1:1. This means that for every 3 moles of CO that react, 3 moles of CO2 are produced. Alternatively, we can say that the stoichiometric coefficient of CO is equal to that of CO2, which is 3 and 3, respectively.

the upstairs in a house is usually warmer than downstairs. this is to to this type of heat transfer

Answers

Convection currents. Convection currents. allow hot air balloons to rise and explain why it is generally hotter upstairs than downstairs in dwellings.

What is heat transfer?

Heat transfer is a thermal engineering subject that deals with the generation, consumption, conversion, and exchange of thermal energy between physical systems.

Heat transmission is categorized into several methods, including thermal conduction, thermal convection, thermal radiation, and energy transfer via phase shifts.

The Transfer of Heat Energy

radiation.conduction.convection

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Please name this compound.

Answers

Answer:

The chemical name for this compound is 4-ethyl-2-methylhex-2-ene.

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Which compound represents fe+3 o-2

Answers

Answer:

The compound that represents Fe+3 O-2 is Fe2O3 (iron oxide or rust)

1. (16 points) Shown below are IR and MS data for a compound with a molecular formula of C3H₂O
a) Identify the functional groups
responsible for the labeled
absorptions in the IR spectrum.
i) 1601 cm¹
ii) 1691 cm¹
Relative Intensity
100-
80-
m/z
rel. Intensity
22.6
73.1
105 100.0
120
26.2
$1.0
77.0
50 60
TRATT
100 110 120
1601 cm
1691 cm³
iii) From the parent,
what mass is lost to form
the base peak at m/z =
105?
iv) What is the likely
structure of that
fragment that is lost
to form m/z 105?
70
m/z
v) From the parent, what mass is lost to form the m/z = 77 peak?

Answers

Answer:

i) 1601 cm¹ - This absorption is likely from a C=O stretching vibration indicative of an aldehyde or ketone functional group.

ii) 1691 cm¹ - This absorption is likely from an O-H stretching vibration indicative of an alcohol functional group.

iii) From the parent, the mass lost to form the base peak at m/z = 105 is 17 amu.

iv) The likely structure of the fragment that is lost to form m/z 105 is C2H2O.

v) From the parent, the mass lost to form the m/z = 77 peak is 28 amu.

vi) The likely structure of the fragment that is lost to form m/z 77 is C2H3O.

Explanation:

How many moles of KF are contained in 180.0 mL of a 0.250 M solution?

Answers

Answer:

To calculate the number of moles of KF in a solution, we can use the formula:

moles = concentration x volume

where concentration is in units of moles per liter (M), and volume is in liters (L).

First, we need to convert the volume from milliliters (mL) to liters (L):

180.0 mL = 0.1800 L

Next, we can plug in the values we have:

moles = 0.250 M x 0.1800 L = 0.0450 moles

Therefore, there are 0.0450 moles of KF in 180.0 mL of a 0.250 M solution.

Explanation:

Question 3 of 10
How can the effect of heat on a reaction be determined?
A. Heat will increase reaction rate, but not equilibrium position.
B. Heat always shifts a reaction toward reactant formation.
C. Heat always shifts a reaction toward product formation.
D. Heat is treated as a reactant or a product.
SUBMIT

Answers

The answer is option D. Heat is treated as a reactant or a product.

Calculate the percent ionization of 0.115 M lactic acid in a solution containing 7.0×10−3 M sodium lactate.

Answers

The percent ionization of 0.115 M lactic acid in a solution containing 7.0×[tex]10^-^3[/tex] M sodium lactate is 1.22% as  percent ionization of a weak acid in solution is a measure of how much of the acid has dissociated into its ions.

The chemical equation for the dissociation of lactic acid is:

HC₃H₅O₃ ⇌ H+ + C₃H₅O₃−

The Ka value for lactic acid is 1.4×10^−4 at 25°C.

Initial: [HC₃H₅O₃]] = 0.115 M, [NaC₃H₅O₃] = 7.0×[tex]10^-^3[/tex] M, [H+] = 0 M, [C₃H₅O₃−] = 0 M

Using the Ka expression for lactic acid,

Ka = [H+][C₃H₅O₃−]/[HC₃H₅O₃]]

Substituting the equilibrium concentrations into the equation and solving for x,

1.4×[tex]10^-^4[/tex]= [tex]x^2[/tex]/(0.115−x)

Solving for x using the quadratic formula,

x =1.4×[tex]10^-^3[/tex] M

Now the percent ionization of lactic acid:

% Ionization = [H+]/[HC₃H₅O₃] × 100%

% Ionization = (1.4×[tex]10^-^3[/tex] M)/(0.115 M) × 100%

% Ionization = 1.22%

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N₂ +
H₂O →>>
NH, -
+
0₂

Answers

The balanced chemical equation for the reaction is:

N₂ + 3H₂O → 2NH₃ + O₂

The equation shows that nitrogen gas (N₂) and water (H₂O) react to form ammonia (NH₃) and oxygen gas (O₂). The coefficients in the balanced equation indicate that one molecule of N₂ reacts with three molecules of H₂O to produce two molecules of NH₃ and one molecule of O₂.

Given the following equations and H° values, determine the heat of reaction at 298 K for the reaction: C(s) + 2 H2(g) -> CH4(g)

H2 (g) + 1/2 02 (g) -> H20 (l)
CO2 (g) + 2 H20 (l) -> CH4 (g) + 2 02 (g)
C(s) + O2(g) -›CO2(g)
H kJ = - 393.5
H kJ = -285.8
H kJ = +890.3

Answers

The heat of reaction for the reaction C(s) + 2 H2(g) -&gt; CH4(g) at 298 K can be calculated by using the following equation: ΔH = (ΔHf products - ΔHf reactants).

Applying this equation to the given reaction, we get ΔH = (-890.3 + 393.5 + 285.8) kJ = -210.0 kJ.

This is the heat of reaction at 298 K for the reaction C(s) + 2 H2(g) -&gt; CH4(g).

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Saccharin (HNC7H4SO3) is a weak acid with pKa = 2.32 at 298 K.

a. Write a hydrolysis equation for the reaction of saccharin with water.

b. Calculate the pH of 0.10 M solution of saccharin.

c. Calculate the %ionization of the acid in this solution.

Answers

The pka or molarity of a solution may be used to calculate its pH. The saccharin solution in this area has a pH of 1.65.

The pH for a solution determines how acidic or basic it is. It refers to the opposite of the positive logarithm of the H+ ion concentration in maths. A solution that is acidic has a pH below 7, while a basic solution has a pH above 7.

Ka of an acid = [A-] [H+] / [HA]

ka = antilog (-pka)

     = antilog (- 2.32)

      = 0.0047

Ka = [H+]²/[HA]

[H+]² = Ka ×   [HA]

         = 0.0047  × 0.11

          = 0.00051

[H+] = 0.022.

pH = -log [H+]

    = -log (0.022)

    = 1.65

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Calculate the final temperature (in Celsius) of HCI gas if 0.500 L at 42°C and 0.950 atm is heated
until the volume reaches 1.81 L at 0.950 atm. (deg C)

Answers

First, we need to convert the temperatures to Kelvin by adding 273.15:

T1 = 42 + 273.15 = 315.15 K
T2 = ? (to be determined)

Next, we can plug in the values given in the problem:

(P1 * V1) / T1 = (P2 * V2) / T2

(0.950 atm * 0.500 L) / 315.15 K = (0.950 atm * 1.81 L) / T2

Simplifying:

0.475 atmL / K = 1.7175 atmL / T2

Multiplying both sides by T2:

T2 * 0.475 atmL / K = 1.7175 atmL

Dividing both sides by 0.475 atm*L / K:

T2 = 1.7175 atmL / (0.475 atmL / K)

T2 = 362.63 K

Finally, we can convert the temperature back to Celsius by subtracting 273.15:

T2 = 362.63 K - 273.15 = 89.48°C

Therefore, the final temperature of HCl gas is 89.48°C.

Combustion analysis of a 6.8253 g sample of an unknown organic compound produces 18.520 gof COzand 3.7905 gofH2O. The molar mass of the compound is 324.38 g/mol.Calculate the number of grams of C, H, and O in the original sample.

Answers

the original sample contained 0.3395 g of carbon, 0.0424 g of hydrogen, and 6.4434 g of oxygen.

At 2000 ∘c the equilibrium constant for the reaction 2no(g)⇌n2(g)+o2(g) is kc=2.4×103. You may want to reference (pages 641 - 644) section 15.6 while completing this problem. Part a if the initial concentration of no is 0.175 m, what is the equilibrium concentration of no? how is the quadratic equation set up i cannot get the right values

Answers

The balanced chemical equation for the reaction is:

2NO(g) ⇌ N2(g) + O2(g)

The equilibrium constant expression is:

Kc = [N2][O2] / [NO]2

We are given that Kc = 2.4 × 10^3 at 2000°C.

If the initial concentration of NO is 0.175 M, then we can assume that the change in concentration of NO is "x" at equilibrium.

The equilibrium concentrations of N2 and O2 can be calculated as follows:

[N2] = x
[O2] = x

Substituting these values into the equilibrium constant expression and solving for "x" gives:

2.4 × 10^3 = (x)(x) / (0.175 - x)^2

This equation is quadratic in nature and needs to be solved using the quadratic formula:

x = [-b ± sqrt(b^2 - 4ac)] / 2a

where a = 1, b = -0.7, and c = -2.4 × 10^3.

Solving for "x" gives:

x = 0.021 M

Therefore, the equilibrium concentration of NO is 0.175 - 0.021 = 0.154 M.


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Heat absorbed or released by a substance can be calculated with the equation _____________.
q = m × Cs × ∆T
q = m × Cs ÷ ∆T
q = m + Cs + ∆T
q = m + Cs

Answers

q = m × Cs × ∆T is the correct equation to calculate the amount of heat absorbed or released by a substance, where:

• q is the amount of heat (in joules or calories)

•m is the mass of the substance (in grams or kilograms)

•Cs is the specific heat capacity of the substance (in joules per gram per degree Celsius or per Kelvin)

•∆T is the change in temperature of the substance (in degrees Celsius or Kelvin)

The nitrogen pressure at the Venusian surface is 2050 torr and the atmosphere of Venus is 3.0 mole% N2. What is the surface pressure on Venus in atm?

Answers

To calculate the surface pressure on Venus in atm, we'll need to use the ideal gas law: PV = nRT. First, we'll convert the pressure from torr to atm: 2050 torr = 2.701 atm. Then, we'll use the mole fraction of nitrogen to find the number of moles of nitrogen in the atmosphere. Assuming that the atmospheric pressure is equal to the surface pressure, we can use the ideal gas law to solve for P.

P = nRT/V

where P is the pressure, n is the number of moles, R is the gas constant, T is the temperature, and V is the volume.

First, we'll find the number of moles of nitrogen in the atmosphere:

n(N2) = 3.0/100 x n(total)

where n(total) is the total number of moles in the atmosphere.

Next, we'll rearrange the ideal gas law to solve for P:

P = nRT/V

We can assume that the volume is 1 mole of gas at STP, which is 22.4 L. The temperature on Venus is around 735 K. The gas constant is 0.08206 L atm/mol K.

Plugging in the values, we get:

P = (0.03)(0.08206)(735)/22.4

P = 0.679 atm

Therefore, the surface pressure on Venus is approximately 0.679 atm.

A substance with a pH of 2 would be considered a strong what?

Answers

Answer:

A substance with pH 2 should be considered a strong acid.

Explanation

ph is a measure of how acidic or basic water is. The range goes from 0-14, with 7 being neutral.

pH of less than 7 indicate acidity and pH greater than 7 indicates base. So , the intensity of the acidic products increase as the pH decrease from 6 to 0 ,i.e. lower the value of pH higher will be the acidity.

With  pH 2 given in the question it is considered as a strong acid.However , pH 2 acids are less acidic than acids having pH 0 and 1 but more acidic in compare to pH 3-6.

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A small sample of lead 5g (c=0.138 J/g°C) is placed into 50g of water at 25°C. What is the system’s final temperature if lead started at 50°C?

Answers

The system's final temperature is 25.825°C.

To solve this problem, we need to use the equation:

q = m × c × ΔT

where q is the heat absorbed or released, m is the mass of the substance, c is the specific heat capacity of the substance, and ΔT is the change in temperature.

In this case, the lead is losing heat to the water, so q will be negative. The water is gaining heat from the lead, so q will be positive.

First, let's calculate the amount of heat lost by the lead:

q_lead = -m_lead × c_lead × ΔT_lead

            = -5 g × 0.138 J/g°C × (50°C - 25°C)

            = -172.5 J

Next, let's calculate the amount of heat gained by the water :

[tex]q_{water}[/tex] = [tex]m_{water}[/tex] × [tex]c_{water}[/tex] × Δ[tex]T_{water}[/tex]

              = 50 g × 4.184 J/g°C × ([tex]T_{f}[/tex] - 25°C)

where [tex]T_{f}[/tex] is the final temperature of the water

Since the total amount of heat lost by the lead is equal to the total amount of heat gained by the water (assuming no heat is lost to the surroundings), we can set [tex]q_{lead}[/tex] equal to [tex]q_{water}[/tex] and solve for [tex]T_{f}[/tex]:

- [tex]q_{lead}[/tex] = [tex]q_{water}[/tex]

172.5 J = 50 g * 4.184 J/g°C * ([tex]T_{f}[/tex] - 25°C)

[tex]T_{f}[/tex]- 25°C = 0.825

[tex]T_{f}[/tex] = 25°C + 0.825

[tex]T_{f}[/tex] = 25.825°C

Therefore, the system's final temperature is 25.825°C.

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Reversible reactions allow products to create the reactants after a chemical reaction has gone from reactants to products. Which of the following is an example of a reversible reaction?

A) Oxygen combining with hemoglobin in red blood cells in our body, and then the red blood cells delivering the oxygen to needed locations\

B) Ammonium chloride separating into ammonia and hydrogen chloride gas

C)Hydrogen and oxygen combining to form water, and then water being broken down by a cell to be used in cellular respiration

D)All of the above

Answers

The correct answer is D) All of the above

What is the amount (in mole) of sodium trioxocarbonate (IV) in 5.3g of the compound? (Na2CO3 = 106)​

Answers

Answer:

To calculate the amount (in mole) of sodium trioxocarbonate (IV) in 5.3g of the compound , you can use the formula:

Amount (in moles) = Mass of substance / Molecular mass

The molecular mass of sodium trioxocarbonate (IV) (Na2CO3) is 106 g/mol, as given in the question. Substituting the values in the formula, we get:

Amount (in moles) = 5.3 g / 106 g/mol = 0.05 mol

Therefore, the amount (in mole) of sodium trioxocarbonate (IV) in 5.3g of the compound is 0.05 mol.

Note that the given molecular mass of Na2CO3 must be used to obtain the correct answe12 .

Explanation:

You have 400,000 atoms of a radioactive substance. After 2 half-lives have past, how many atoms remain?
Remember that you cannot have a fraction of an atom, so round the answer to the nearest whole number.

Answers

After 2 half-lives, 100,000 atoms of the radioactive substance will remain.

If two half-lives have passed, the number of remaining atoms will be one-fourth (1/2 x 1/2 = 1/4) of the original number of atoms.

Therefore, the number of remaining atoms will be:

400,000 x (1/4) = 100,000 atoms

Rounding this to the nearest whole number, we get:

100,000 atoms

Therefore after 2 half-lives, 100,000 atoms of the radioactive substance will remain.

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Which type of cloud service would be appropriate for an organization that provides resources to its own branch offices from a centralized corporate headquarters? Why is it beneficial for us to have three different types of muscle tissue rather than just one for all body functions? Give some examples to illustrate your statements. provide the name of an american presidential candidate who had to reassure his skeptical audience that his religious identity would not interfere with his ability to perform the duties of the office he sought to hold. Sheridan Company uses 9400 units of Part A in producing its products. A supplier offers to make Part A for $5. Sheridan Company has relevant costs of $8 a unit to manufacture Part A. If there is excess capacity, the relevant cost of buying Part A from the supplier is $28200. $75200. O $47000. O $0. (1 point) Determine whether the following series converges or diverges. (-1)n-1 (- n=1 Input C for convergence and D for divergence: Note: You have only one chance to enter your answer you have a sample of 20 pieces of chocolate that are all of the same shape and size (5 pieces have peanuts, 5 pieces have almonds, 5 pieces have macadamia nuts, 5 pieces have no nuts). you weigh each of the 20 pieces of chocolate and get the following weights (in grams). you want to know if the weights across all types of chocolate are statistically significantly different from one another using a significance level of 0.05. Let a > 0 be real. Consider the complex function f(z) 1 + cos az 02 22 - Identify the order of all the poles of f(z) on the finite complex plane. Evaluate the residue of f(z) at these poles. An archaeologist has a research project involving the analysis of an old campsite of a people who relied primarily on foraging for wild foods about 500,000 years ago. This project would be considered: Single taxpayers meeting certain homeownership and use requirements can permanently exclude up to ______ of the realized gain on the sale of their principal residence Compare Juans view of censorship before he takes his new job with his view right before Marianas letter appears on his desk S.O.S. soap pads were advertised on television for many years. When the company discontinued advertising, sales slowly began to decline and consumers gradually forgot the brand name. This illustrates the concept of:A) decay effectsB) wear out effectsC) carryover effectsD) threshold effects true or false?people in the moderate stage of anxiety can still concentrate, learn, and problem-solve**** sudden onset of extreme apprehension or fear associated with feelings of impending doom How can using object style speed up your workflow? An economy is described by the following equations: Desired consumption C^d=130 +0.5(Y-T)-500r Desired investment I^d=100-500r Real money demand L = 0.5Y - 1000r Money supply M = 1320 Full-employment output Y = 500 Government purchases G = 100Taxes T = 100 Assume that expected inflation is zero so that money demand depends directly on the real interest rate. Also assume the SRAS is horizontal at the current price level. a. Calculate the long-run general-equilibrium values of Output (Y) __The real interest rate (r): __ (round to three decimal places) The price level (P): __ (round to two decimal places) Investment (I) __ (round to two decimal places) b. Suppose that, because of investor optimism about the future marginal product of capital, the investment function becomes I^d=200-500r. What are the new long-run general-equilibrium values of the real interest rate and the price level? The real interest rate (r) __ (round to three decimal places) The price level (P): __ (round to two decimal places) What were the results of the Missile Crisis for the USSR and Khrushchev (4)? The distinction between Buddhist practices and non-Buddhist practices is straightforward.A.False. Unlike other religions, Buddhist practices are hard to separate from other cultural practices.B. False. Like other religions, Buddhist practices blends with other cultural practices.C. True. If a practice aims at solving the problem of suffering, then it is BuddhistBuddhist practices are primarily concerned with meditation and mindfulness.A. False. Buddhist practices also involve worshiping the Buddha.B. True. Changing one's outlook on life is primarily attained by practicing meditations and mindfulness.C. False. Buddhist practices are broad ranging. 5. A random variable X has the moment generating function 0.03 Mx(0) t< - log 0.97 1 -0.97e Name the probability distribution of X and specify its parameter(s). (b) Let Y = X1 + X2 + X3 where X1, X3, true or false?the nurse must have an order in order to place a patient in seclusion or restraints In one paragraph (4-7 sentences), explain the role that Robespierre played inpromoting and institituting the reign of terror in France from 1793-1794. Use atleast one quote from the above text to explain your reasoning.