Question

The reaction for the decomposition of PCl₅ to chlorine and PCl₃ is shown below.

PCl₅ ( g) ⇌ PCl₃ ( g) + Cl₂( g)

If the equilibrium concentrations are [PCl₅] = 1.0 M, [PCl₃] = 0.10 M, [Cl₂] = 0.10 M, what is the value of the equilibrium constant?

a. 2.0 × 10⁻²

b. 1.0 × 10⁻⁴

c. 1.0 × 10²

d. 1.0 × 10⁻²

e. 10 × 10⁻²

Answer 1

The equilibrium constant, Kc, can be calculated by taking the concentrations of the products and dividing it by the concentration of the reactant. In this case, the equilibrium concentrations are given as [PCl₅] = 1.0 M, [PCl₃] = 0.10 M, and [Cl₂] = 0.10 M. Therefore, the equilibrium constant is calculated as Kc = (0.10 * 0.10) / 1.0 = 0.01.

Step-by-step explanation:

The equilibrium constant, Kc, can be calculated by taking the concentrations of the products and dividing it by the concentration of the reactant. In this case, the equilibrium concentrations are given as [PCl₅] = 1.0 M, [PCl₃] = 0.10 M, and [Cl₂] = 0.10 M. Therefore, the equilibrium constant is calculated as:

Kc = ([PCl₃] * [Cl₂]) / [PCl₅] = (0.10 * 0.10) / 1.0 = 0.01 / 1.0 = 0.01

So, the value of the equilibrium constant is 0.01.