An acidic solution of dichromate is electrolyzed for 8 minutes using 2A current. As per the following equation
$Cr 2 O 7 2 − + 14 H + + 6 e − → 2 Cr 3 + + 7 H 2 O$ .The amount of $C r 3 +$ obtained was 0.104 g. The efficiency of the process (in %) is (Take: $F = 96000 C,$ Atomic mass of Chromium=52)

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answer is 60.

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Detailed Solution

Charge $(Q) = I t = 2 \times 8 \times 60 = 960 C \Rightarrow \frac{960}{96000} = 0.01 F$
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Theoretical mass of
$C r 3 + = 13 × 96096000 × 52 = 0.173 g$ So, efficiency $= W actual W Theoritical × 100 = 0.104 0.173 × 100 = 60 %$

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