# Chapter 17 - Chemical Equilibrium - Exercises - Equilibrium Constant Expression and Value of K - Page 701: 18

a. $K_c = \frac{[ H_2S ]^{ 2 }[ O_2 ]^{ 3 }}{[ H_2O ]^{ 2 }[ SO_2 ]^{ 2 }}$ b. $K_c = \frac{[ NO ]^{ 4 }[ H_2O ]^{ 6 }}{[ NH_3 ]^{ 4 }[ O_2 ]^{ 5 }}$ c. $K_c = \frac{[ PCl_5 ]}{[ PCl_3 ][ Cl_2 ]}$ d. $K_c = \frac{[ NaHSO_4 ][ HF ]}{[ NaF ][ H_2SO_4 ]}$ e. $K_c = \frac{[ SO_2 ]^{ 2 }[ O_2 ]}{[ SO_3 ]^{ 2 }}$

#### Work Step by Step

Write the equilibrium constant expression: - The exponent of each concentration is equal to its balance coefficient. - Pure solids and liquids do not appear in the equation. a. $K_c = \frac{[Products]}{[Reactants]} = \frac{[ H_2S ]^{ 2 }[ O_2 ]^{ 3 }}{[ H_2O ]^{ 2 }[ SO_2 ]^{ 2 }}$ b. $K_c = \frac{[Products]}{[Reactants]} = \frac{[ NO ]^{ 4 }[ H_2O ]^{ 6 }}{[ NH_3 ]^{ 4 }[ O_2 ]^{ 5 }}$ c. $K_c = \frac{[Products]}{[Reactants]} = \frac{[ PCl_5 ]}{[ PCl_3 ][ Cl_2 ]}$ d. $K_c = \frac{[Products]}{[Reactants]} = \frac{[ NaHSO_4 ][ HF ]}{[ NaF ][ H_2SO_4 ]}$ e. $K_c = \frac{[Products]}{[Reactants]} = \frac{[ SO_2 ]^{ 2 }[ O_2 ]}{[ SO_3 ]^{ 2 }}$

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