Answer
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. $K_c = \frac{[Products]}{[Reactants]} = \frac{[ SO_2 ]^{ 2 }[ O_2 ]}{[ SO_3 ]^{ 2 }}$
