For the given cell :
Cu(s) | Cu2+(C1M) || Cu2+(C2M) | Cu(s)
change in Gibbs energy ($\Delta$G) is negative, if :
Solution
Given $\Delta$G < 0
<br><br>$\therefore$ -nFE<sub>cell</sub> < 0
<br><br>$\Rightarrow$ E<sub>cell</sub> > 0
<br><br>We know, E<sub>cell</sub> = $E_{cell}^0$ - ${{RT} \over {2F}}\ln \left( {{{{C_1}} \over {{C_2}}}} \right)$
<br><br> = 0 - ${{RT} \over {2F}}\ln \left( {{{{C_1}} \over {{C_2}}}} \right)$
<br><br>$\therefore$ - ${{RT} \over {2F}}\ln \left( {{{{C_1}} \over {{C_2}}}} \right)$ > 0
<br><br>$\Rightarrow$ $\ln \left( {{{{C_1}} \over {{C_2}}}} \right)$ < 0
<br><br>$\Rightarrow$ C<sub>1</sub> < C<sub>2</sub>
<br><br>By checking option, we can see
<br><br>C<sub>2</sub> = $\sqrt 2$C<sub>1</sub> satisfy the condition C<sub>1</sub> < C<sub>2</sub>.
About this question
Subject: Chemistry · Chapter: Electrochemistry · Topic: Electrochemical Cells
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