An acidic solution of dichromate is electrolyzed for 8 minutes using 2A current. As per the following equation Cr2O72−+14H++6e−→2Cr3++7H2O. The amount of Cr3+ obtained was 0.104 g. The efficiency of the process ( in %) is (Take F=96000C, At.mass of chromium = 52) ________

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An acidic solution of dichromate is electrolyzed for 8 minutes using 2A current. As per the following equation $C r_{2} O_{7}^{2 -} + 14 H^{+} + 6 e^{-} \to 2 C r^{3 +} + 7 H_{2} O$ . The amount of $C r^{3 +}$ obtained was 0.104 g. The efficiency of the process ( in %) is (Take F=96000C, At.mass of chromium = 52) ________

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answer is 60.

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Detailed Solution

$[m o l e s o f C r^{3 +}] \times 3 = [8 \times 60 \times 2] / 96000 m o l e s o f C r^{3 +} = [8 \times 4] / 9600 = (1 / 300) m o l m o l e s o f C r^{3 +} = (52 / 300) g$

% efficiency={[Actual obtained amount]/[theoretical obtained amount]}*100

$= [(0.104 / (52 / 100)) * 100] = 30 * (104 / 52) = 60 %$

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