An acidic solution of dichromate is electrolyzed for 8 minut

Question

An acidic solution of dichromate is electrolyzed for 8 minutes using 2A current. As per the following equation
Cr₂O₇^2- + 14H⁺ + 6e^–

\to

2Cr³⁺ + 7H₂O
The amount of Cr³⁺ obtained was 0.104 g. The efficiency of the process(in%) is (Take : F = 96000 C, At. mass of chromium = 52) ______.

DivineJEE · Accepted Answer

Cr_(2)O_(7)^(2-) + 14H^(+) + 6e^(–) -> 2Cr^(3+) + 7H_(2)O I = 2 A, t = 8 min From 1^(st) law of faraday, w_(Cr^(+3)) = z x i x t => w_(Cr^(+3)) = 52 / 96000 x 3 x 2 x 8 x 60 = 52 / 300 Mass of Cr^(3+) ions actually obtained = 0.104 gm % efficiency = Actual obtained Amt Theo. obtained Amt x 100 = 0.104 / 52 / 300 x 100 = 60 %

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