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Chemistry

Chemistry · Chemical Equilibrium

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Question

Nitrogen dioxide decomposes on heating according to the following equation:

2NO2 (g) ⇌ 2NO (g)+ O2 (g)

When 4 moles of nitrogen dioxide were put into a 1 dm3 container and heated to a constant temperature, the equilibrium mixture contained 0.8 moles of oxygen. 

What is the numerical value of the equilibrium constant, Kc, at the temperature of the experiment? 

MDCAT Chemistry question — Chemical Equilibrium
Options
  • A

    Option A

  • B

    Option B

  • C

    Option C

  • D

    Option D

Explanation

To find the numerical value of the equilibrium constant, Kc, we need to use the equilibrium concentrations of the reactants and products.

According to the given information, we start with 4 moles of nitrogen dioxide (NO2) in a 1 dm^3 container. This means the initial concentration of NO2 is 2.4 moles/1 dm^3 = 2.4 M.

At equilibrium, we have 0.8 moles of oxygen (O2) in the 1 dm^3 container. The equilibrium concentration of O2 is therefore 0.8 M.

Since the stoichiometry of the balanced equation is 2NO2 ⇌ 2NO + O2, the equilibrium concentration of nitrogen monoxide (NO) will also be 2 times the concentration of O2, which is 2 x 0.8 M = 1.6 M.

Now we can write the expression for the equilibrium constant, Kc:

Kc = [NO]2 [O2] / [NO2]2

Kc = (1.6 M)2 * (0.8 M) / (2.4 M)2

This is numerical so it can only have one correct option.

To find the numerical value of the equilibrium constant, Kc, we need to use the equilibrium concentrations of the reactants and products.


According to the given information, we start with 4 moles of nitrogen dioxide (NO2) in a 1 dm^3 container. This means the initial concentration of NO2 is 2.4 moles/1 dm^3 = 2.4 M.


At equilibrium, we have 0.8 moles of oxygen (O2) in the 1 dm^3 container. The equilibrium concentration of O2 is therefore 0.8 M.


Since the stoichiometry of the balanced equation is 2NO2 ⇌ 2NO + O2, the equilibrium concentration of nitrogen monoxide (NO) will also be 2 times the concentration of O2, which is 2 x 0.8 M = 1.6 M.


Now we can write the expression for the equilibrium constant, Kc:


Kc = [NO]2 [O2] / [NO2]2


Kc = (1.6 M)2 * (0.8 M) / (2.4 M)2

To find the numerical value of the equilibrium constant, Kc, we need to use the equilibrium concentrations of the reactants and products.


According to the given information, we start with 4 moles of nitrogen dioxide (NO2) in a 1 dm^3 container. This means the initial concentration of NO2 is 2.4 moles/1 dm^3 = 2.4 M.


At equilibrium, we have 0.8 moles of oxygen (O2) in the 1 dm^3 container. The equilibrium concentration of O2 is therefore 0.8 M.


Since the stoichiometry of the balanced equation is 2NO2 ⇌ 2NO + O2, the equilibrium concentration of nitrogen monoxide (NO) will also be 2 times the concentration of O2, which is 2 x 0.8 M = 1.6 M.


Now we can write the expression for the equilibrium constant, Kc:


Kc = [NO]2 [O2] / [NO2]2


Kc = (1.6 M)2 * (0.8 M) / (2.4 M)2

To find the numerical value of the equilibrium constant, Kc, we need to use the equilibrium concentrations of the reactants and products.


According to the given information, we start with 4 moles of nitrogen dioxide (NO2) in a 1 dm^3 container. This means the initial concentration of NO2 is 2.4 moles/1 dm^3 = 2.4 M.


At equilibrium, we have 0.8 moles of oxygen (O2) in the 1 dm^3 container. The equilibrium concentration of O2 is therefore 0.8 M.


Since the stoichiometry of the balanced equation is 2NO2 ⇌ 2NO + O2, the equilibrium concentration of nitrogen monoxide (NO) will also be 2 times the concentration of O2, which is 2 x 0.8 M = 1.6 M.


Now we can write the expression for the equilibrium constant, Kc:


Kc = [NO]2 [O2] / [NO2]2


Kc = (1.6 M)2 * (0.8 M) / (2.4 M)2

To find the numerical value of the equilibrium constant, Kc, we need to use the equilibrium concentrations of the reactants and products.


According to the given information, we start with 4 moles of nitrogen dioxide (NO2) in a 1 dm^3 container. This means the initial concentration of NO2 is 2.4 moles/1 dm^3 = 2.4 M.


At equilibrium, we have 0.8 moles of oxygen (O2) in the 1 dm^3 container. The equilibrium concentration of O2 is therefore 0.8 M.


Since the stoichiometry of the balanced equation is 2NO2 ⇌ 2NO + O2, the equilibrium concentration of nitrogen monoxide (NO) will also be 2 times the concentration of O2, which is 2 x 0.8 M = 1.6 M.


Now we can write the expression for the equilibrium constant, Kc:


Kc = [NO]2 [O2] / [NO2]2


Kc = (1.6 M)2 * (0.8 M) / (2.4 M)2

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