    Question

# Resistance of a solution (A) is 50 ohm and that of a solution (B) is 100 ohm, both solution being taken in the same conductivity cell. If equal volume of solution (A) and (B) are mixed, what will be the resistance of the mixture, using the same cell? Assume thta there is no increase in the degree of dissociation of (A) and (B) on mixing.

A
75.0 ohm
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B
50.0 ohm
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C
33.33 ohm
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D
66.66 ohm
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Solution

## The correct option is D 66.66 ohmLet us suppose κ1 and κ2 are specific conductances of solutions 'A' and 'B' respectively and cell constant is ′y′. We know that, Specific conductance = Conductance×(Cell constant For (A), κ1=150×y For (B), κ2=1100×y When equal volume of (A) and (B) are mixed, the volume becomes double. Then, Specific conductance of mixture=κ1+κ12 ∴κ1+κ12=1R×y ⇒12[y50+y100]=1R×y ⇒1100+1200=1R ⇒R=200/3=66.66 ohm  Suggest Corrections  0      Similar questions  Related Videos   Dimensional Analysis
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