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

For the given cell :

Cu(s) | Cu2+(C1M) || Cu2+(C2M) | Cu(s)

change in Gibbs energy ($\Delta$G) is negative, if :

  1. A C<sub>2</sub> = $\sqrt 2$C<sub>1</sub> Correct answer
  2. B C<sub>2</sub> = ${{{C_1}} \over {\sqrt 2 }}$
  3. C C<sub>1</sub> = 2C<sub>2</sub>
  4. D C<sub>1</sub> = C<sub>2</sub>

Solution

Given $\Delta$G &lt; 0 <br><br>$\therefore$ -nFE<sub>cell</sub> &lt; 0 <br><br>$\Rightarrow$ E<sub>cell</sub> &gt; 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>$\therefore$ - ${{RT} \over {2F}}\ln \left( {{{{C_1}} \over {{C_2}}}} \right)$ &gt; 0 <br><br>$\Rightarrow$ $\ln \left( {{{{C_1}} \over {{C_2}}}} \right)$ &lt; 0 <br><br>$\Rightarrow$ C<sub>1</sub> &lt; 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> &lt; C<sub>2</sub>.

About this question

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

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