Question

The S.I unit of ionic mobility is

• A. $V^{-1}{m}^{-2}{s}^{-1}$
• B. $V^{-1}{m}^2{s}^{-1}$
• C. $V^{-1}{m}^3{s}^{-2}$
• D. $V{m}^2{s}^{-2}$

Answer 1

The correct option is B $V^{-1}{m}^2{s}^{-1}$

Ionic mobility is a speed of an ion per unit electric field (potential gradient).
It is denoted by symbol $\mu$.

$\mu =\frac{\text{Speed}}{\text{Electric field}}$

$\mu =\frac{\text{Speed}}{\text{Potential gradient}}$

$\mu =\frac{v}{dV/dx}$

$\mu =\frac{m{s}^{-1}}{V/m}$

$\mu =V^{-1}{m}^2{s}^{-1}$

The $S.I$ unit of ionic mobility is $V^{-1}{m}^2{s}^{-1}$

The $C.G.S$ unit of ionic mobility is $V^{-1}c{m}^2{s}^{-1}$