Question

Calculate E°cell and ∆rG° for the following reaction at 25°C.
A2+(aq) + B+(aq) → A3+(aq) + B(s)
[Given KC = 1010, 1F = 96500 C, R = 8.314 JK–1 mol–1]

Answer 1

E°cell = 0.081 volts

∆rG° = -15633

Explanation:

The chemical reaction given in the question is:

A²⁺(aq) + B⁺(aq) → A³⁺(aq) + B(s)

The cell potential at equilibrium is given by the formula:

E°cell = (2.303 RT)/(nF) × log Kc

Where,

T = 273 K

R = 8.314 JK⁻¹mol⁻¹

n = 2

1F = 96500 C

Kc = 1010

On substituting the values, we get,

E°cell = (2.303 × 8.314 × 273)/(2 × 96500) × log (1010)

∴ E°cell = 0.081 volts

The ∆rG° is given by the formula:

∆rG° = -nFE°

On substituting the values, we get,

∆rG° = -(2 × 96500 × 0.081)

∴ ∆rG° = -15633