Medium INTEGER +4 / -1 PYQ · JEE Mains 2020

An acidic solution of dichromate is electrolyzed for 8 minutes using 2A current. As per the following equation
Cr2O72- + 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) ______.

Answer (integer) 60

Solution

Cr<sub>2</sub>O<sub>7</sub><sup>2-</sup> + 14H<sup>+</sup> + 6e<sup>–</sup> $\to$ 2Cr<sup>3+</sup> + 7H<sub>2</sub>O <br><br>I = 2 A, t = 8 min <br><br>From 1<sup>st</sup> law of faraday, <br><br>w<sub>Cr<sup>+3</sup></sub> = z $\times$ i $\times$ t <br><br>$\Rightarrow$ w<sub>Cr<sup>+3</sup></sub> = ${{52} \over {96000 \times 3}} \times 2 \times 8 \times 60$ <br><br>= ${{52} \over {300}}$ <br><br>Mass of Cr<sup>3+</sup> ions actually obtained = 0.104 gm <br><br>% efficiency = <span style="display: inline-block;vertical-align: middle;"> <div style="text-align: center;border-bottom: 1px solid black;">Actual obtained Amt</div> <div style="text-align: center;">Theo. obtained Amt</div> </span> $\times$ 100 <br><br>= ${{0.104} \over {{{52} \over {300}}}}$ $\times$ 100 <br><br>= 60 %

About this question

Subject: Chemistry · Chapter: Electrochemistry · Topic: Electrochemical Cells

This question is part of PrepWiser's free JEE Main question bank. 127 more solved questions on Electrochemistry are available — start with the harder ones if your accuracy is >70%.

Drill 25 more like these. Every day. Free.

PrepWiser turns these solved questions into a daily practice loop. Chapter-wise drills, full mocks, AI doubt chat. No auto-renew.

Start free →