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Calculate the cell potential of following cell P t s H 2 g 0.1 bar BOH 0.1M | HA 0.1M H 2 g 1 bar | Pt Given K a H A = 1 0 - 7 , K b B O H = 1 0 - 5

Options

  1. A0.39 V
  2. B0.36 V
  3. C0.93 V
  4. D0.63 V

Correct answer

A. 0.39 V

Step-by-step solution

E c e l l = 0.059 2 log ⁡ [ H + ] c a t h o d e 2 × [ P H 2 ] a n o d e [ H + ] a n o d e 2 × [ P H 2 ] c a t h o d e O H - = C K b = 0.1 × 1 0 - 5 = 1 0 - 3 M [ H + ] a n o d e = 1 0 - 14 1 0 - 3 = 1 0 - 11 M [ H + ] c a t h o d e = C K a = 0.1 × 1 0 - 7 = 1 0 - 4 M So E c e l l = 0.059 2 log ⁡ ( 1 0 - 4 ) 2 × 0.1 ( 1 0 - 11 ) 2 × 1 = 0. 39   V .

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