   Chapter 18, Problem 81IL

Chapter
Section
Textbook Problem

Calculate ΔfG° for HI(g) at 350 °C, given the following equilibrium partial pressures: P(H2) = 0.132 bar, P(I2) = 0.295 bar, and P(HI) = 1.61 bar. At 350 °C and 1 bar, I2, is a gas.½ H2(g) + ½ I2(g) ⇄ HI(g)

Interpretation Introduction

Interpretation:

The value of ΔfGo for HI(g) at 350 °C should be calculated under given conditions.

Concept introduction:

The Gibbs free energy or the free energy change is a thermodynamic quantity represented by ΔGo.

ΔfGo is related to the reaction quotient Q by the expression,

ΔfG = ΔfG°+ RT lnQ

For a general reaction, aA + bBcC + dD

Q = [C]c[D]d[A]a[B]b

Explanation

The value of ΔfGo for HI(g) at 350 °C is calculated below.

Given: 12H2(g) + 12I2(g)HI(g)

The equilibrium partial pressures are,

P(H2)=0.132 barP(I2)=0.295 barP(HI)=1.61 bar

Now,

ΔfG = ΔfG°+ RTlnQ= ΔfG°+ RTln((PHI)(PI212)(PH212))

The value of ΔfG is zero

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