For a salt XY, which is a strong electrolyte, the plot of m versus c has a slope of -90.0 S cm2 mol-3/2 L1/2 at 298 K. At 0.01 M concentration of XY, the value of m is 145.0 S cm2 mol-1. The limiting molar conductivity of Y- ion ( Y-0, in S cm2 mol-1) at 298 K will be (Given : X+0 = 74.0 S cm2 mol-1)
- 76.0
- 80.0
- 100.0
- 90.0
Answer
(2) 80.0
Solution
Using the Debye-Hückel-Onsager equation:
m = m0 - A c
Given slope = -A = -90.0 S cm2 mol-3/2 L1/2, so A = 90.0.
At c = 0.01 M, c = 0.1 M1/2 and m = 145.0 S cm2 mol-1:
145.0 = m0 - 90.0 0.1
m0 = 145.0 + 9.0 = 154.0 S cm2 mol-1
According to Kohlrausch's law of independent migration of ions:
m0(XY) = X+0 + Y-0
154.0 = 74.0 + Y-0 Y-0 = 80.0 S cm2 mol-1
Answer: (2)