Ionic Mobility( μ 0 ) at infinitely dilute solution can be related to molar conductivity at infinite dilution as, λ m 0 = μ 0 F An infinitely dilute solution of NaC ℓ was placed between two Pt elect

Question

Ionic Mobility( μ 0 ) at infinitely dilute solution can be related to molar conductivity at infinite dilution as, λ m 0 ​ = μ 0 F An infinitely dilute solution of NaC ℓ was placed between two Pt electrodes which are 8.5 cm apart. A potential difference of 7.5 volt is applied across the electrodes. What will be the distance in mm travelled by Na ⊕ in 1 hour. Given λ N a ⊕ ∘ ​ = 70 S c m 2 m o l − 1 .

TestHub · Accepted Answer

Ionic mobility and speed are calculated from limiting molar conductivity and potential gradient.

Solution:

Ionic mobility $u = \frac{λ ^{\circ}}{F} = \frac{70 \times 1 0 ^{- 4}}{96500} = 7.25 \times 1 0^{- 8} m^{2} s^{- 1} V^{- 1}$ .

Speed = $u \times \frac{V}{d} = 7.25 \times 1 0^{- 8} \times \frac{7.5}{0.085} = 6.4 \times 1 0^{- 6} m/s$ .

Distance = Speed $\times$ Time = $6.4 \times 1 0^{- 6} \times 3600 = 0.023 m = 23 mm$ .

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