For ${\mathrm{H}}^{+}$ the value of ${\lambda }^{\infty }=349.8{\text{ S cm}}^2{\text{ eq}}^{-1}$. Calculate the mobilities of ${\mathrm{H}}^{+}$ ion and its velocity if it is in a cell in which the electrodes are 5 cm apart and to which a potential of 2 volts is applied. 

$$\begin{gathered} \mathrm{Ionic} \mathrm{conductance}= 96500\times \mathrm{mobility} \\ \mathrm{Mobility}=\frac{349.8}{96500}=3.62\times {10}^{-3} \\ \mathrm{Mobility} =\frac{\mathrm{Velocity}}{\mathrm{Potential} \mathrm{gradiant}} \\ \mathrm{Velocity}=3.62\times {10}^{-3}\times \frac{2}{5} \left[\mathrm{Potential} \mathrm{gradiant}=\frac{\mathrm{Potential} \mathrm{difference}}{\mathrm{Distance}} \right] \\ =1.45\times {10}^{-3 }\mathrm{cm} {\sec }^{-1} \end{gathered}$$