Calculating Volume of Water in a Swimming Pool Using Conductivity Measurements

In summary, the conversation discusses the use of a conductance cell to measure the resistance of water samples from a swimming pool. A sample of water from the pool has a resistance of 10000Ω at 25C, and when filled with 0.02M KCl solution, the resistance decreases to 100Ω. After adding 585gm of NaCl and stirring the pool, a sample of the resulting solution has a resistance of 8000Ω. The molar conductance of NaCl at this concentration is 125 and the molar conductivity of KCl at 0.02M is 200Ω. To find the volume of water in litres, the cell constant is used in a calculation,
  • #1
utkarshakash
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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.
[itex]k(NaCl) = \frac{0.4}{8000}[/itex]

125 = 1000*k(nacl)/M

Plugging all the values in the above equation gives me the wrong answer.
 
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  • #2
It is as ambiguous here, as it was at CF.
 

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