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Resistance of 0.2 M solution of an elect...

Resistance of `0.2 M` solution of an electrolyte is `50 Omega`. The specific conductance of the solution is ` 1.3 S m^(-1)`. If resistance of the `0.4 M` solution of the same electrolyte is `260 Omega`, its molar conductivity is .

A

`(6250Sm^(2)mol^(-1))`

B

`6.25xx10^(-4)sm^(2)mol^(-1))`

C

`(625xx10^(-4) sm^(2) mol^(-1))`

D

`(62.5sm^(2)mol^(-1))`

Text Solution

Verified by Experts

The correct Answer is:
B

For 0.2M solution : `R = 50Omega`,G=(1)/(50)S`, `K=GxxG^(**)`
`therefore G^(ast)= (K)/(G) = 1.3 xx50m^(-1) = 65m^(-1)`
For 0.4M solution : `R = 260Omega ,G+(1)/(260), K = GxxG^(**) = (65)/(260)`
`therefore wedge_(m) = (K)/(1000C)= (0.25)/(1000xx0.4)= 6.25xx10^(-4)sm^(2) mol ^(-1)`
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