equilibrium constant expression of CaCO3(s) + 2 HCl(aq) --> CaCl2(aq) + CO2(g) + H2O(l)

The equilibrium constant expression for the given reaction is:

Kc = [CaCl2] * [CO2] * [H2O] / [HCl]^2

Where:
[CaCl2] represents the molar concentration of calcium chloride (aq).
[CO2] represents the partial pressure (or molar concentration) of carbon dioxide (g).
[H2O] represents the molar concentration of water (l).
[HCl] represents the molar concentration of hydrochloric acid (aq).

Note that the solid CaCO3 is not included in the equilibrium constant expression as its concentration remains constant during the reaction.

To derive the equilibrium constant expression for the given reaction:

The balanced chemical equation is:
CaCO3(s) + 2 HCl(aq) -> CaCl2(aq) + CO2(g) + H2O(l)

The equilibrium constant expression, Kc, can be written as the ratio of the product concentrations to reactant concentrations. The expression is derived using the law of mass action and involves raising the concentrations of products to their stoichiometric coefficients and dividing by the reactant concentrations raised to their stoichiometric coefficients.

Kc = [CaCl2] * [CO2] * [H2O] / [CaCO3] * [HCl]^2

The square brackets [] indicate the concentration of each species involved in the reaction. However, since CaCO3(s) is a solid, its concentration is considered constant and not included in the expression. It only affects the activities of other species.

So, the equilibrium constant expression for the given reaction is:
Kc = [CaCl2] * [CO2] * [H2O] / [HCl]^2

See your K expressions above.