The limiting molar ionic conductivity of $H X^{+}$ is $349.8 S c m^{2} mo l^{- 1}$ and $F = 96500 C mo l^{- 1}$ . In a very dilute HCl solution a uniform electric field of $2.00 V c m^{- 1}$ is applied. The distance drifted by an $H X^{+}$ ion in $120 s$ , in cm (two decimals), is

Numerical answer type, answer in cm, tolerance 0.02.

Answer: 0.87 cm

Ionic mobility

u = λ^{\circ} / F = 349.8/96500 = 3.625 \times 1 0^{- 3} c m^{2} V^{- 1} s^{- 1}

. Drift speed

v = u E = 3.625 \times 1 0^{- 3} \times 2.00 = 7.25 \times 1 0^{- 3} cm s^{- 1}

. Distance

= v t = 7.25 \times 1 0^{- 3} \times 120 = 0.87 cm