**chapter 5 electrochemistry class 12 chemistry textbook solution**

### 3. Answer the following in brief

vi. Using the relationship between ΔG0 of cell reaction and the standard potential associated with it, how will you show that the electrical potential is an intensive property ?`

Answer:-
Under standard state conditions, the electrical work done in a galvanic cell can be expressed as:
\[\Delta G^\circ = -nF E^\circ_{\text{cell}}\]
where:
- \(\Delta G^\circ\) is an extensive property because its value depends on the amount of substance.
- \(n\) is the number of moles of electrons transferred.
- \(F\) is the Faraday constant.
- \(E^\circ_{\text{cell}}\) is the standard cell potential.
If the stoichiometric equation of the redox reaction is multiplied by 2, meaning that the number of substances oxidized and reduced is doubled, both \(\Delta G^\circ\) and the moles of electrons transferred (\(n\)) also double.
The ratio,
\[E^\circ_{\text{cell}} = -\frac{\Delta G^\circ}{nF}\]
then becomes,
\[E^\circ_{\text{cell}} = -\frac{2\Delta G^\circ}{2nF} = \frac{\Delta G^\circ}{nF}\]
Thus, \(E^\circ_{\text{cell}}\) remains the same when multiplying the redox reaction by 2. This implies that \(E^\circ_{\text{cell}}\) is independent of the amount of substance and is considered an intensive property.

**chapter 5 elctrochemistry textbook solution page 118**