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A weak electrolyte having the limiting e...

A weak electrolyte having the limiting equivalent conductance of 400 S `cm^(2)` g `"equiv"^(-1)` at 298 K is 2% ionized in is 0.1 N solution. The resistance of this solution (in ohm) in an electrolytic cell of cell constant `0.4cm^(-1)` at this temperature is

A

a) 200

B

b) 300

C

c) 400

D

d) 500

Text Solution

Verified by Experts

The correct Answer is:
D
Since, the weak electrolyte is 2% ionised,
`C=alpha.N`
`=(2)/(100)xx0.1`
`=2xx10^(-3)g" equiv L"^(-1)`
Limiting equivalent conductance,
`wedge_(eq)=(kappaxx1000)/(C)`
`400Scm^(2)g" equiv"^(-1)=(kappaxx1000)/(2xx10^(-3))`
`kappa=8xx10^(-4)Scm^(-1)`
Further, `kappa=(1)/(R)xx((l)/(a))` (where, `(l)/(a)` = cell constant)
`8xx10^(-4)Scm^(-1)=(1)/(R)xx0.4cm^(-1)`
`R=(0.4)/(8xx10^(-4))S^(-1)=(1000)/(2)Omega=500Omega`
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