Final answer:
To calculate the equilibrium constant, Kc, for the given reaction PCl₅ ⇌ PCl₃ + Cl₂, use the concentrations of the reactants and products at equilibrium.
Step-by-step explanation:
In order to calculate the equilibrium constant, Kc, for the given reaction, you need to use the concentrations of the reactants and products at equilibrium.
The equation for the reaction is PCl₅(g) ⇌ PCl₃(g) + Cl₂(g). The equilibrium concentrations given are [PCl₅] = 4.55 M, [PCl₃] = 0.437 M, and [Cl₂] = 0.437 M.
To calculate Kc, you need to use the formula:
Kc = ([PCl₃] * [Cl₂]) / [PCl₅]
Plugging in the given values: Kc = (0.437 * 0.437) / 4.55
= 0.0419 (rounded to four significant figures).