Answer
a. $$K_c = \frac{[ CO_2 ][ H_2O ]^{ 2 }}{[ CH_4 ][ O_2 ]^{ 2 }}$$
b. $$K_c = \frac{[ N_2 ]^{ 2 }[ H_2O ]^{ 6 }}{[ NH_3 ]^{ 4 }[ O_2 ]^{ 3 }}$$
c. $$K_c = \frac{[ CH_4 ]}{[ C ][ H_2 ]^{ 2 }}$$
Work Step by Step
1. Write the equilibrium constant expression:
- The exponent of each concentration is equal to its balance coefficient.
a. $$K_c = \frac{[Products]}{[Reactants]} = \frac{[ CO_2 ][ H_2O ]^{ 2 }}{[ CH_4 ][ O_2 ]^{ 2 }}$$
b. $$K_c = \frac{[Products]}{[Reactants]} = \frac{[ N_2 ]^{ 2 }[ H_2O ]^{ 6 }}{[ NH_3 ]^{ 4 }[ O_2 ]^{ 3 }}$$
c. $$K_c = \frac{[Products]}{[Reactants]} = \frac{[ CH_4 ]}{[ C ][ H_2 ]^{ 2 }}$$