883.15 gm of Ni is produced in solution by passing a current of 67 Ampere through a period of 14 hours.
Current, I = 67 A
Time, t = 14 h = (14×60×60) s
Now total Charge passed , Q = I t = 67×14×60×60 = 3376800 C
moles of electrons passed = [tex]\frac{Q}{96500}[/tex][tex]=\frac{3376800}{96500}=34.992[/tex] mole e⁻
34.992 moles of e⁻ will produce 34.992 /2 = 17.49 mole Ni
Now we have the reaction
Ni ²⁺ + 2e⁻ → Ni
34.992 moles of e⁻ produces 17.49 mole of Ni
mass of Ni produced = molar mass of Ni × moles of Ni = 58.693 × 17.49 = 1026.91 gm of Ni produced
But the cell is 86% efficient.
Therefore, Ni produced = 0.86×1026.91 = 883.15 gm
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