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Write the equilibrium constant expression for the following reactions:

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4 parts
a

[NO2]2[N2][O2]2\frac{[\text{NO}_2]^2}{[\text{N}_2][\text{O}_2]^2}

b

[N2O]2[N2]2[O2]\frac{[\text{N}_2\text{O}]^2}{[\text{N}_2]^2[\text{O}_2]}

c

[SO3]2[SO2]2[O2]\frac{[\text{SO}_3]^2}{[\text{SO}_2]^2[\text{O}_2]}

d

[PCl5][PCl3][Cl2]\frac{[\text{PCl}_5]}{[\text{PCl}_3][\text{Cl}_2]}

Step-by-step solution

12 steps

Here are the detailed solutions for the reactions from the image:

Part a· 3 steps

For the reaction N2(g)+2O2(g)⇌2NO2(g)\text{N}_2\text{(g)} + 2\text{O}_2\text{(g)} \rightleftharpoons 2\text{NO}_2\text{(g)}

  1. Identify reactants and products with their stoichiometric coefficients.

    Reactants: N2\text{N}_2 (coefficient 1), O2\text{O}_2 (coefficient 2).
    Products: NO2\text{NO}_2 (coefficient 2).

  2. Apply the equilibrium constant expression formula.

    The concentration of products raised to their stoichiometric coefficients goes in the numerator, and the concentration of reactants raised to their stoichiometric coefficients goes in the denominator.

    Kc=[NO2]2[N2]1[O2]2K_c = \frac{[\text{NO}_2]^2}{[\text{N}_2]^1[\text{O}_2]^2}

  3. Simplify the expression.

    Kc=[NO2]2[N2][O2]2K_c = \boxed{\frac{[\text{NO}_2]^2}{[\text{N}_2][\text{O}_2]^2}}

Part b

[N2O]2[N2]2[O2]\frac{[\text{N}_2\text{O}]^2}{[\text{N}_2]^2[\text{O}_2]}

For the reaction 2N2(g)+O2(g)⇌2N2O(g)2\text{N}_2\text{(g)} + \text{O}_2\text{(g)} \rightleftharpoons 2\text{N}_2\text{O(g)}

  1. Identify reactants and products with their stoichiometric coefficients.

    Reactants: N2\text{N}_2 (coefficient 2), O2\text{O}_2 (coefficient 1).
    Products: N2O\text{N}_2\text{O} (coefficient 2).

  2. Apply the equilibrium constant expression formula.

    Kc=[N2O]2[N2]2[O2]1K_c = \frac{[\text{N}_2\text{O}]^2}{[\text{N}_2]^2[\text{O}_2]^1}

  3. Simplify the expression.

    Kc=[N2O]2[N2]2[O2]K_c = \boxed{\frac{[\text{N}_2\text{O}]^2}{[\text{N}_2]^2[\text{O}_2]}}

Part c

[SO3]2[SO2]2[O2]\frac{[\text{SO}_3]^2}{[\text{SO}_2]^2[\text{O}_2]}

For the reaction 2SO2(g)+O2(g)⇌2SO3(g)2\text{SO}_2\text{(g)} + \text{O}_2\text{(g)} \rightleftharpoons 2\text{SO}_3\text{(g)}

  1. Identify reactants and products with their stoichiometric coefficients.

    Reactants: SO2\text{SO}_2 (coefficient 2), O2\text{O}_2 (coefficient 1).
    Products: SO3\text{SO}_3 (coefficient 2).

  2. Apply the equilibrium constant expression formula.

    Kc=[SO3]2[SO2]2[O2]1K_c = \frac{[\text{SO}_3]^2}{[\text{SO}_2]^2[\text{O}_2]^1}

  3. Simplify the expression.

    Kc=[SO3]2[SO2]2[O2]K_c = \boxed{\frac{[\text{SO}_3]^2}{[\text{SO}_2]^2[\text{O}_2]}}

Part d

[PCl5][PCl3][Cl2]\frac{[\text{PCl}_5]}{[\text{PCl}_3][\text{Cl}_2]}

For the reaction PCl3(g)+Cl2(g)⇌PCl5(g)\text{PCl}_3\text{(g)} + \text{Cl}_2\text{(g)} \rightleftharpoons \text{PCl}_5\text{(g)}

  1. Identify reactants and products with their stoichiometric coefficients.

    Reactants: PCl3\text{PCl}_3 (coefficient 1), Cl2\text{Cl}_2 (coefficient 1).
    Products: PCl5\text{PCl}_5 (coefficient 1).

  2. Apply the equilibrium constant expression formula.

    Kc=[PCl5]1[PCl3]1[Cl2]1K_c = \frac{[\text{PCl}_5]^1}{[\text{PCl}_3]^1[\text{Cl}_2]^1}

  3. Simplify the expression.

    Kc=[PCl5][PCl3][Cl2]K_c = \boxed{\frac{[\text{PCl}_5]}{[\text{PCl}_3][\text{Cl}_2]}}
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