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Conductance and Conductivity

Dimension of ...

Question

Dimension of ionic mobility is:

m V^{- 1} s^{- 1}

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m^{2} V^{- 2} s^{- 1}

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m^{2} V^{- 1} s^{- 1}

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m^{2} V s^{- 1}

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Solution

The correct option is C $m^{2} V^{- 1} s^{- 1}$
The ionic mobility is the ratio of the speed of the ion to the potential gradient. The speed of the ion has units $m s^{- 1}$ and the potential gradient has the units $V m^{- 1}$ . Hence, the dimensions of the ionic mobility is:

$U n i t = \frac{m s^{- 1}}{V m^{- 1}} = {m^{2} V}^{- 1} s^{- 1}$ .
Hence, option C is correct.

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