The chemical equation you’ve provided is:

[ \text{CO(g)} + \text{H}_2\text{O(g)} \rightleftharpoons \text{CO}_2\text{(g)} + \text{H}_2\text{(g)} ]

Now, let’s express the equilibrium constant ((K)) for this reaction.

The equilibrium constant (K) for this reaction is given by the expression:

K = [CO2] * [H2] / [CO] * [H2O]

Where [CO2], [H2], [CO], and [H2O] represent the equilibrium concentrations of carbon dioxide, hydrogen gas, carbon monoxide, and water vapor respectively.

Since the equation is balanced, the coefficients of each species in the reaction (1 for CO, 1 for H2O, 1 for CO2, and 1 for H2) will be used as the exponents in the expression for K.

Therefore, the equilibrium constant (K) for the reaction [ CO(g) + H2O(g) ⇌ CO2(g) + H2(g) ] is expressed as:

K = [CO2] * [H2] / [CO] * [H2O]