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
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