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Write the equilibrium constant expressions for the following reactions:

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3 parts
a

[NH3]2[N2][H2]3\frac{[\text{NH}_3]^2}{[\text{N}_2][\text{H}_2]^3}

b

[NO]2[N2][O2]\frac{[\text{NO}]^2}{[\text{N}_2][\text{O}_2]}

c

[CO2][\text{CO}_2]

Step-by-step solution

9 steps

Here are the equilibrium constant expressions for the reactions shown:

Part a· 3 steps

For the reaction N2(g)+3H2(g)⇌2NH3(g)\text{N}_2\text{(g)} + 3\text{H}_2\text{(g)} \rightleftharpoons 2\text{NH}_3\text{(g)}

  1. Identify reactants and products with their stoichiometric coefficients.

    Reactants: N2\text{N}_2 (coefficient 1), H2\text{H}_2 (coefficient 3).
    Products: NH3\text{NH}_3 (coefficient 2).
    All species are in the gaseous state, so they are included in the KcK_c expression.

  2. Apply the equilibrium constant expression formula.

    Kc=[NH3]2[N2]1[H2]3K_c = \frac{[\text{NH}_3]^2}{[\text{N}_2]^1[\text{H}_2]^3}

  3. Simplify the expression.

    Kc=[NH3]2[N2][H2]3K_c = \boxed{\frac{[\text{NH}_3]^2}{[\text{N}_2][\text{H}_2]^3}}

Part b

[NO]2[N2][O2]\frac{[\text{NO}]^2}{[\text{N}_2][\text{O}_2]}

For the reaction N2(g)+O2(g)⇌2NO(g)\text{N}_2\text{(g)} + \text{O}_2\text{(g)} \rightleftharpoons 2\text{NO(g)}

  1. Identify reactants and products with their stoichiometric coefficients.

    Reactants: N2\text{N}_2 (coefficient 1), O2\text{O}_2 (coefficient 1).
    Products: NO\text{NO} (coefficient 2).
    All species are in the gaseous state, so they are included in the KcK_c expression.

  2. Apply the equilibrium constant expression formula.

    Kc=[NO]2[N2]1[O2]1K_c = \frac{[\text{NO}]^2}{[\text{N}_2]^1[\text{O}_2]^1}

  3. Simplify the expression.

    Kc=[NO]2[N2][O2]K_c = \boxed{\frac{[\text{NO}]^2}{[\text{N}_2][\text{O}_2]}}

Part c

[CO2][\text{CO}_2]

For the reaction CaCO3(s)⇌CaO(s)+CO2(g)\text{CaCO}_3\text{(s)} \rightleftharpoons \text{CaO(s)} + \text{CO}_2\text{(g)}

  1. Identify reactants and products with their stoichiometric coefficients and states.

    Reactant: CaCO3(s)\text{CaCO}_3\text{(s)} (coefficient 1).
    Products: CaO(s)\text{CaO(s)} (coefficient 1), CO2(g)\text{CO}_2\text{(g)} (coefficient 1).
    Pure solids and pure liquids are not included in the KcK_c expression because their concentrations are considered constant.

  2. Apply the equilibrium constant expression formula, excluding solids.

    Kc=[CO2]11K_c = \frac{[\text{CO}_2]^1}{1}

  3. Simplify the expression.

    Kc=[CO2]K_c = \boxed{[\text{CO}_2]}
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