Answer
$K_{c}$ =$\frac{[C_{2}H_{6}]^{2}[O_{2}] }{[C_{2}H_{4}] ^{2}[H_{2} O]^{2}}$
This is a homogeneous reaction.
Work Step by Step
In a balanced chemical equation, the expression of the equilibrium constant is the product of the concentration of products raised to the power of their coefficients divided by the product of the concentration of reactants raised to the power of their coefficients.
Also, Pure solids and liquids are not included in the expression of equilibrium constant.
Thus,
$K_{c}$ =$\frac{[C_{2}H_{6}]^{2}[O_{2}] }{[C_{2}H_{4}] ^{2}[H_{2} O]^{2}}$
This is a homogeneous reaction because all the components of the reaction are in the same physical state, gas.