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For the cell Zn s ZnSO 4 aq CuSO 4 aq Cu s , when the concentration of Zn 2 + is 10 times the concentration of Cu 2 + , the expression for ΔG in J mol - 1 is [ F = Faraday's constant, R = universal gas constant, T = temperature, E o cell = 1.1 V ]

Options

  1. A2 .303 × RT + 1 .1 F
  2. B2 .303 × RT - 2 .2 F
  3. C1 .1 F
  4. D- 2 .2 F

Correct answer

B. 2 .303 × RT - 2 .2 F

Step-by-step solution

ΔG = ΔG ° + 2 .303 × RT × log   Q , ΔG = - nFE ° + 2 .303 × RT × log   Q . Given, E ° = 1 .1   V and n = 2 , ΔG = - 2 × 1 .1 × F + 2 .303 × RT × log Zn + 2 Cu + 2 , ΔG = - 2 .2 F + 2 .303 × RT .

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