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A sample of water from a large swimming ...

A sample of water from a large swimming pool has a resistance of `10000Omega` at `25^(@)C` when placed in a certain conductance cell. When filled with `0.02M KCl` solution, the cell has a resistance of `100 Omega` at `25^(@)C, 585 gm` of `NaCl` were dissolved in the pool, which was thoroughly stirred. A sample of this solution gave a resistance of `8000 Omega`.
Given: Molar conductance of `NaCl` at that concentration is `125 Omega^(-1) cm^(2) mol^(-1)` and molar conductivity of `KCl` at `0.02 M` is `200Omega^(-1) cm^(2) mol^(-1)`.
Volume (in Litres) of water in the pool is:

A

`1.25 xx 10^(+5)`

B

`1250`

C

`12500`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`k(NaCI) = 10^(-5)`
`V = (125)/(100 xx 10^(-5)) = (125)/(10^(-3)) = 1.25 xx 10^(5)L`
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