Phosphorous and chlorine gases combine to produce phosphorous trichloride: P₂(g) + 3Cl₂(g) → 2PCl₃(g)
ΔG° at 298 K for this reaction is -642.9 kJ/mol.The value of ΔG at 298 K for a reaction mixture that consists of and is

Question

Phosphorous and chlorine gases combine to produce phosphorous trichloride: P₂(g) + 3Cl₂(g) → 2PCl₃(g)
ΔG° at 298 K for this reaction is -642.9 kJ/mol.The value of ΔG at 298 K for a reaction mixture that consists of

Phosphorous and chlorine gases combine to produce phosphorous trichloride: P<sub>2</sub>(g) + 3Cl<sub>2</sub>(g) → 2PCl<sub>3</sub>(g) ΔG° at 298 K for this reaction is -642.9 kJ/mol.The value of ΔG at 298 K for a reaction mixture that consists of and is A) -39.0 B) -4.19 × 10<sup>3</sup> C) -7.59 × 10<sup>3</sup> D) -711.4 E) -649.8

and

is

Quizplus · Accepted Answer

We can use the equation ΔG = ΔG° + RTlnQ, where Q is the reaction quotient. At equilibrium, ΔG = 0 and Q = K, the equilibrium constant.

We can calculate Q using the law of mass action: Q = [PCl3]^2 / [P]^1[Cl2]^3, where the exponents represent the coefficients in the balanced equation.

Using the given concentrations, we get: Q = (0.0246 mol/L)^2 / (0.00553 mol/L)^1(0.104 mol/L)^3 = 1.239

Substituting the values into the equation ΔG = ΔG° + RTlnQ, we get:

ΔG = -642.9 kJ/mol + (8.31 J/mol/K)(298 K) ln(1.239) = -649.8 kJ/mol

Therefore, the answer is E.

Phosphorous and Chlorine Gases Combine to Produce Phosphorous Trichloride: P2(g)

Phosphorous and Chlorine Gases Combine to Produce Phosphorous Trichloride: P₂(g)