Answer
a. $K_c =\frac{[ CO_2 ]^{ 2 }}{[ CO ]^{ 2 }[ O_2 ]}$
b. $K_c = \frac{[ NO ]^{ 2 }[ O_2 ]}{[ NO_2 ]^{ 2 }}$
c. $K_c = \frac{[ H_2 ]}{[ HBr ]^{ 2 }}$
d. $K_c = \frac{1}{[ P_4 ][ O_2 ]^{ 3 }}$
e. $K_c = \frac{[ NO ]^{ 2 }}{[ N_2 ][ O_2 ]}$
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. $K_c = \frac{[Products]}{[Reactants]} = \frac{[ CO_2 ]^{ 2 }}{[ CO ]^{ 2 }[ O_2 ]}$
b. $K_c = \frac{[Products]}{[Reactants]} = \frac{[ NO ]^{ 2 }[ O_2 ]}{[ NO_2 ]^{ 2 }}$
c. $K_c = \frac{[Products]}{[Reactants]} = \frac{[ H_2 ]}{[ HBr ]^{ 2 }}$
d. $K_c = \frac{[Products]}{[Reactants]} = \frac{1}{[ P_4 ][ O_2 ]^{ 3 }}$
e. $K_c = \frac{[Products]}{[Reactants]} = \frac{[ NO ]^{ 2 }}{[ N_2 ][ O_2 ]}$