The resistance of a solution ‘A’ is 40 ohm and that of solution ‘B’ is 70 ohm, both solutions being taken in the same conductivity cell. If equal volumes of solutions ‘A’ and ‘B’ are mixed, what will

Question

The resistance of a solution ‘A’ is 40 ohm and that of solution ‘B’ is 70 ohm, both solutions being taken in the same conductivity cell. If equal volumes of solutions ‘A’ and ‘B’ are mixed, what will be the resistance of the mixture using the same cell?

Accepted Answer

Answer: 50.9 ohm — κmix = (κA + κB)/2 Since κ ∝ 1/R, 1/Rmix = (1/2)(1/40 + 1/70) Rmix ≈ 50.9 Ω

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