ElectrochemistryHard

Question

For Na+, the value of symbol λm° is 50.0 Ω−1 cm2 mol−1. The speed of Na+ ion in the solution, if in the cell, electrodes are 5 cm apart and to which a potential of 19.3 volt is applied is

Options

A.2 × 10−3 cm/s
B.1 × 10−3 cm/s
C.2 × 10−4 cm/s
D.2 × 10−2 cm/s

Solution

Ionic mobility, $\mu^{o} = \frac{\text{Speed of ion}}{\text{Pot. gradient}} = \frac{\lambda_{m}^{o}}{F}$

Or, $\frac{\text{Speed}}{\left( \frac{19.3}{5} \right)} = \frac{50}{96500} \Rightarrow \text{Speed} = 2 \times 10^{- 3}\text{ cm/s}$

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