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Chemistry · 2024 · 3 marks
CBSE 2024 · Region 4 · Set 1 · Q23
Calculate emf of the following cell at 25 °C: Sn / Sn^2+(0.001 M ) ∥ H^+(0.01 M )| H_2( g ) (1 bar )| Pt_( s ) Given: E^°( Sn^2+ / Sn )=-0.14 V, E^°…
Calculate emf of the following cell at $\displaystyle 25$ °C : $\displaystyle \mathrm{Sn} / \mathrm{Sn}^{2+}(0.001 \mathrm{M}) \| \mathrm{H}^{+}(0.01 \mathrm{M})\left|\mathrm{H}_{2(\mathrm{~g})}(1 \mathrm{bar})\right| \mathrm{Pt}_{(\mathrm{s})}$ Given : $\displaystyle \mathrm{E}^{\circ}\left(\mathrm{Sn}^{2+} / \mathrm{Sn}\right)=-0.14 \mathrm{~V}, \mathrm{E}^{\circ} \mathrm{H}^{+} / \mathrm{H}_{2}=0.00 \mathrm{~V}(\log 10=1)$ $\displaystyle 3$
Marking-scheme solution
\(\displaystyle \mathrm{E}_{\text {cell }}=\mathrm{E}^{\mathrm{o}}{ }_{\text {cell }}-\frac{0.059}{2} \log \frac{\left[\mathrm{Sn}^{2+}\right]}{\left[\mathrm{H}^{+}\right]^{2}}\)
\[\mathrm{E}_{\text {cell }}^{\mathrm{o}}=0-(-0 \cdot 14 \mathrm{~V})=0 \cdot 14 \mathrm{~V}
\]
\[\begin{aligned}
& \mathrm{E}_{\text {cell }}=0 \cdot 14-\frac{0 \cdot 059}{2} \log \frac{(0 \cdot 001)}{(0 \cdot 01)^{2}} \\
& =0 \cdot 14-\frac{0 \cdot 059}{2} \log 10 \\
& =0 \cdot 14-0 \cdot 0295=0 \cdot 1105 \mathrm{~V} \text { or } 0.11 \mathrm{~V}
\end{aligned}
\]
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CBSE Class 12 Chemistry past-paper question from the 2024 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.