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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 ? (Assume that there is no increase in the degree of dissociation of ′A′ and ′B′ on mixing)
Options
A.50.9 ohm
B.101.8 ohm
C.110 ohm
D.55 ohm
Solution
For solu. ′A′ : K = 
= x(cell const.)
K1 =
× x
For solu. ′B′ : K2 =
× x
If equal vol. of solu. are mixed then vol. becomes doubled & conductivity of mix. becomes halved.
∴ Conductivity of the mix. will be
∴ for the mix. :
× x
R → Resistance of the mix.
= x(cell const.)K1 =
× x For solu. ′B′ : K2 =
× xIf equal vol. of solu. are mixed then vol. becomes doubled & conductivity of mix. becomes halved.
∴ Conductivity of the mix. will be
∴ for the mix. :
× xR → Resistance of the mix.
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