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Resistance of 0.2 M solution of an elect...

Resistance of `0.2 M` solution of an electrolyte is `50 ohm`. The specific conductance of the solution is `1.4 S m^(-1)`. The resistance of `0.5 M` solution of the same electrolyte is `280 Omega`. The molar conductivity of `0.5 M` solution of the electrolyte in `S m^(2) mol^(-1)` id

A

`5 xx 10^(3)`

B

`5 xx 10^(2)`

C

`5 xx 10^(-4)`

D

`5 xx 10^(-3)`

Text Solution

Verified by Experts

The correct Answer is:
C
`K = (1)/(R) xx (l)/(A)`
`(K_(1))/(K_(2)) = (R_(2))/(R_(1))`
`(1.4)/(K_(2)) = (280)/(50)`
`K_(2) = (7)/(28) = (1)/(4) Sm^(-1)`
`lambda_(m) =(K)/(M xx 1000) = (1)/(4) xx (1)/(0.5 xx 1000)`
`= 5 xx 10^(-4) Sm^(2) mol^(-1)`
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