Answer
a. $$K_c = \frac{[ CO_2 ]^{ 4 }[ H_2O ]^{ 6 }}{[ C_2H_6 ]^{ 2 }[ O_2 ]^{ 7 }}$$
b. $$K_c = \frac{[ K_2CO_3 ][ CO_2 ][ H_2O ]}{[ KHCO_3 ]^{ 2 }}$$
c.$$K_c = \frac{[ NO ]^{ 4 }[ H_2O ]^{ 6 }}{[ NH_3 ]^{ 4 }[ O_2 ]^{ 5 }}$$
Work Step by Step
1. Write the equilibrium constant expression:
- The exponent of each concentration is equal to its balance coefficient.
a. $$K_c = \frac{[Products]}{[Reactants]} = \frac{[ CO_2 ]^{ 4 }[ H_2O ]^{ 6 }}{[ C_2H_6 ]^{ 2 }[ O_2 ]^{ 7 }}$$
b. $$K_c = \frac{[Products]}{[Reactants]} = \frac{[ K_2CO_3 ][ CO_2 ][ H_2O ]}{[ KHCO_3 ]^{ 2 }}$$
c. $$K_c = \frac{[Products]}{[Reactants]} = \frac{[ NO ]^{ 4 }[ H_2O ]^{ 6 }}{[ NH_3 ]^{ 4 }[ O_2 ]^{ 5 }}$$