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  • An acidic solution of dichromate is electrolyzed for   using <img alt="\mathrm{5A}"

An acidic solution of dichromate is electrolyzed for 6 \mathrm{~min}  using \mathrm{5A}  current. The amt of  \mathrm{\mathrm{Cr}^{3+}}  obtained was  \mathrm{0.1024 \mathrm{~g}} . What will be the efficiency of process.

\mathrm{Cr}_2 \mathrm{O}_7^{2-}+14 \mathrm{H}^{+}+6 e^{-} \rightarrow 2 \mathrm{Cr}^{3+}+7 \mathrm{H}_2 \mathrm{O}

Option: 1

20%


Option: 2

40%


Option: 3

32%


Option: 4

28%


Answers (1)

best_answer

\mathrm{ \text { Charge }(Q)=I t }
\mathrm{ =5 \times 6 \times 60 }
\mathrm{ =18000 \\ }
\mathrm{ \mathrm{Cr}_2 \mathrm{O}_7^{2-}+14 \mathrm{H}^{+}+6 e^{-} \rightarrow 2 \mathrm{Cr}^{3+}+7 \mathrm{H}_2 \mathrm{O} \\ }
\mathrm{ 0.01 \mathrm{~F}\ }                                           \mathrm{\quad \frac{1}{3} \times 0.01 \mathrm{~mole} \\ }
\mathrm{\underset{\text { Theoritical }}{\mathrm{Cr}^{3+}}=\frac{1}{3} \times \frac{1800}{96000} \times 52 }
=\mathrm{0.323 ~g }

So efficiency,

=\mathrm{ \frac{\text { Wactual }}{\text { Wtheorical }} \times 100 }
=\mathrm{ \frac{0.104}{0.323} \times 100=32 \% }.

 

Posted by

Rishabh

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