The cell  $Zn\left|\underset{\left(1m\right)}{Z{n}^{2+}}\right|\left|\underset{\left(1M\right)}{C{u}^{2+}}\right|Cu(E_{cell}^0=1.10V)$,was allowed to be completely discharged at 298K. The relative concentration of $Z{n}^{2+}toC{u}^{2+}$ is

$$\begin{gathered} Zn+C{u}^{2+}\stackrel{ }{\rightleftharpoons }Z{n}^{2+}+Cu \\ {E}_{cell}=E_{cell}^o-\frac{0.0591}{n}\log \frac{\left[Z{n}^{2+}\right]}{\left[C{u}^{2+}\right]} \end{gathered}$$

$\because$ cell completely discharged  $E_{cell}=0$

$$\begin{gathered} E_{cell}^o=\frac{0.0591}{n}\log \frac{\left[Z{n}^{2+}\right]}{\left[C{u}^{2+}\right]} \\ 1.10=0.295\log \frac{\left[Z{n}^{2+}\right]}{\left[C{u}^{2+}\right]} \\ \log \frac{\left[Z{n}^{2+}\right]}{\left[C{u}^{2+}\right]}=\frac{1.10}{0.0295}=37.3 \\ \frac{\left[Z{n}^{2+}\right]}{\left[C{u}^{2+}\right]}={10}^{37.3} \end{gathered}$$