Answer to Question #113850 in Physical Chemistry for Smr

Question

The moving-boundary method was applied to a 0.02000 mol/dm3 aqueous NaCl solution at 25°C using CdCl2 as the following solution. For a current held constant at 1.600 mA, Longsworth found that the boundary moved 10.00 cm in 3453 s in a tube of average cross-sectional area 0.1115 cm2. The conductivity of this NaCl solution at 25°C is 2.313 × 10−3 Ω−1 cm−1. Calculate u(Na+) and t(Na+) in this solution.

Answer 1

Osmotic pressure = 4.26 atm

T = 27 + 273 = 300 K

C = 0.1

R = 0.821 L atm K^-1 mol^-1

π = i CRT

i = π / CRT = 4.26 / 0.1 x 0.821 x 300 = 0.173

i = Observed moles / Total moles = 1 + α / 1

i = 1 + α

0.173 = 1 + α

α = 1 - 0.173 = 0.827 = 82.7 %

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