Question 13 Marks
The equilibrium constant of cell reaction :
Sn4+(.aq) + Al(s) Al3+ → + Sn2+ (aq) is 4.617 x 10184, at 25 °C
a. Calculate the standard emf of the cell. (Given: log 4.617 x 10184 = 184.6644)
b. What will be the E° of the half cell Al3+/Al, if E° of half cell Sn4+/Sn2+ is 4+ 0.15 V.
Sn4+(.aq) + Al(s) Al3+ → + Sn2+ (aq) is 4.617 x 10184, at 25 °C
a. Calculate the standard emf of the cell. (Given: log 4.617 x 10184 = 184.6644)
b. What will be the E° of the half cell Al3+/Al, if E° of half cell Sn4+/Sn2+ is 4+ 0.15 V.
Answer
$
\mathrm{E}_{\text {Cell }}=\mathrm{E}_{\text {Cell }}^o-\frac{2.303 \mathrm{RT}}{\mathrm{nF}} \cdot \log \mathrm{Kc}
$
At 298 K
|$
\mathrm{E}_{\text {Cell }}=\mathrm{E}^{\mathrm{o}}{ }_{\text {Cell }}-\frac{0.0591}{\mathrm{n}} \log \mathrm{Kc}
$
At equilibrium Ecell $=0, n=6$
$
\begin{aligned}
E_{\text {Cell }}^o & =\frac{0.0591}{n} \operatorname{log~Kc} \\
& =0.059 / 6 \log 4.617 \times 10^{184} \\
& =0.00983 \times 184.6644 \\
& =1.8152
\end{aligned}
$ (ii) $\mathrm{E}_{\text {cell }}^0=\mathrm{E}_{\mathrm{Sn}_{n 4+/ S n 2+}}-\mathrm{E}^0{ }_{\mathrm{Al} 3+/ \mathrm{Al}}$ $
\begin{aligned}
& 1.81=-0.15-\mathrm{E}^0{ }^{\mathrm{Al} 3}+\mathrm{Al} \\
& \mathrm{E}_{\mathrm{AA}^0+/ \mathrm{Al}}=-1.66 \mathrm{~V}
\end{aligned}
$
View full question & answer→$
\mathrm{E}_{\text {Cell }}=\mathrm{E}_{\text {Cell }}^o-\frac{2.303 \mathrm{RT}}{\mathrm{nF}} \cdot \log \mathrm{Kc}
$
At 298 K
|$
\mathrm{E}_{\text {Cell }}=\mathrm{E}^{\mathrm{o}}{ }_{\text {Cell }}-\frac{0.0591}{\mathrm{n}} \log \mathrm{Kc}
$
At equilibrium Ecell $=0, n=6$
$
\begin{aligned}
E_{\text {Cell }}^o & =\frac{0.0591}{n} \operatorname{log~Kc} \\
& =0.059 / 6 \log 4.617 \times 10^{184} \\
& =0.00983 \times 184.6644 \\
& =1.8152
\end{aligned}
$ (ii) $\mathrm{E}_{\text {cell }}^0=\mathrm{E}_{\mathrm{Sn}_{n 4+/ S n 2+}}-\mathrm{E}^0{ }_{\mathrm{Al} 3+/ \mathrm{Al}}$ $
\begin{aligned}
& 1.81=-0.15-\mathrm{E}^0{ }^{\mathrm{Al} 3}+\mathrm{Al} \\
& \mathrm{E}_{\mathrm{AA}^0+/ \mathrm{Al}}=-1.66 \mathrm{~V}
\end{aligned}
$





