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The cell constant of a conductivity cell is 0.146 cm-1. What is the conductivity of 0.01 M solutionof an electrolyte at 298 K, if the resistance of the cell is 1000 ohm?

Question

The cell constant of a conductivity cell is 0.146 cm-1. What is the conductivity of 0.01 M solutionof an electrolyte at 298 K, if the resistance of the cell is 1000 ohm?

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Solution

The conductivity (K) of a solution can be calculated using the formula:

K = L / (R * A)

where: L is the cell constant (in cm-1), R is the resistance of the cell (in ohms), and A is the concentration of the solution (in M).

Given that L = 0.146 cm-1, R = 1000 ohms, and A = 0.01 M, we can substitute these values into the formula to find K:

K = 0.146 / (1000 * 0.01) = 0.00146 S/cm

So, the conductivity of the 0.01 M solution of the electrolyte at 298 K is 0.00146 S/cm.

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