The conductivity of centimolar solution of KCl at 25 is 0.0210 and the resistance of the cell containing the solution at 25 is 60 ohm. The value of cell constant is [2023]

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Solution

Q.
The conductivity of centimolar solution of KCl at 25 ${}^{\circ}C$ is 0.0210 ${ohm}^{- 1}$ ${cm}^{- 1}$ and the resistance of the cell containing the solution at 25 ${}^{\circ}C$ is 60 ohm. The value of cell constant is [2023]

1 1.26 ${cm}^{- 1}$

2 3.34 ${cm}^{- 1}$

3 1.34 ${cm}^{- 1}$

4 3.28 ${cm}^{- 1}$

Ans.
(1)

Given, $κ = 0.0210$ ${ohm}^{- 1}$ ${cm}^{- 1}, R = 60$ $ohm$

$κ = \frac{1}{R} \times \frac{l}{a} (where \frac{l}{a} = cell constant)$

or $0.0210 = \frac{1}{60} \times \frac{l}{a}$

or $\frac{l}{a} = 60 \times 0.0210 = 1.26$ ${cm}^{- 1}$

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