A voltaic cell is based on the following half reactions at 25 ⁰C: Ag + + e- à Ag &nbs...

Question

Question

A voltaic cell is based on the following half reactions at 25 ⁰C:

Ag ⁺ + e- à Ag E⁰ = 0.8V

H₂O₂ + 2H⁺ + 2e- à 2H₂O E⁰ = 1.78V

Predict whether E _cell is larger or smaller than E⁰ _cell for the following cases. Explain your answers.

(a) [Ag ⁺] = 1.0 M, [H₂O₂] = 2.0 M, [H⁺] = 2.0 M

(b) [Ag ⁺] = 2.0 M, [H₂O₂] = 1.0 M, [H⁺] = 1.0 x 10^-7 M

Answer 1

Answer #1

H₂O₂ + 2H⁺ +2 Ag $\rightarrow$ 2 Ag⁺ + 2H₂O

E°_cell = 1.78V - 0.8V = 0.98V

(a)

E_cell = E°_cell - RT/nF × ln Q

E_cell = 0.98 - 0.0591/2 × log((1.0)²/((2.0)²×2.0) = 1.007V

E_cell is greater than E°_cell . (Answer)

(b)

E_cell = 0.98V - 0.0591/2 × log((2.0)²/((1.0×10^-7)²×1.0)

= 0.55V

E_cell is smaller than the E°_cell .

Answer 2

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