Calculating Volume of Water in a Swimming Pool Using Conductivity Measurements

[utkarshakash]

Homework Statement

A sample of water from a large swimming pool has a resistance of 10000Ω at 25C when placed in a certain conductance cell. When filled with 0.02M KCl solution, the cell has a resistance of 100Ω at 25C. 585gm of NaCl were dissolved in the pool, which was thoroughly stirred. A sample of this solution gave a resistance of 8000Ω. Molar conductance of NaCl at that concentration is 125 and molar conductivity of KCl at 0.02M is 200Ω. Find volume of water in litres.

The Attempt at a Solution

I found the cell constant to be 0.4.
k(NaCl) = \frac{0.4}{8000}

125 = 1000*k(nacl)/M

Plugging all the values in the above equation gives me the wrong answer.

 

[Borek]

It is as ambiguous here, as it was at CF.