Class 12th Chemistry 2017 Set3 Outside Delhi Board Paper Solution

Question 13

(a) The cell in which the following reactions occurs:

    

      Eocell   = 0.236 V at 298 K. Calculate the standard Gibbs energy of the cell reaction. (Given : 1F = 96,500 C mol-1)

(b) How many electrons flow through a metallic wire if a current of 0.5 A is passed for 2 hours ? (Given : 1F = 96,500 C mol-1)

 

Answer

(a) E0 cell = 0.236 V

    ∆Gθ   = -NFEθ

    n=2,  F=96500C

    ∆G0  =  2 × (96500 C) × (0.236 V)

    = -45548 J

   or

   = -45.55 KJ

 

∆Gθ = -2303 RT log KC

logKc = ∆G0 / 2.303 RT

         = - 45.55 /  (2.303 × 8.314 × 10-3 × 298)

         = 7.983

Kc     = antilog (7.983)

         = 9.62 × 107

 

(b) Current, I = 0.5 A  

     Time,  t = 2 hours 

     In sec we get Time,

     t = 2 × 60 × 60 s = 7200 s

    Charge : Q = I × t

                     = 0.5 A × 7200 s

                     = 3600 Coulombs

Number of electrons  =  total charge  /  charge on 1 electrons

                               = 3600 / (1.6 × 1019) 

                               = 2.25 × 1022 electrons

 

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