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Question

Solution A,B and C of the same strong electrolyte offered resistances of 50 Ω, 100 Ω, and 150 Ω in a given conductivity cell. The resistance observed if they are mixed in a volume proportion which is reciprocal of their resistances and tested in the same conductivity cell would be:

A
67.3 Ω
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B
81.8 Ω
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C
100 Ω
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D
300 Ω
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Solution

The correct option is A 67.3 Ω
Let value be v1, v2 and v3
v1R1+v2R2+v3R3=v1+v2+v3Req
R1=52 Ω R2=100 Ω R3=150 Ω
v1=150 v2=1100 v3=1150
v1R1+v2R2+v3R3=v1+v2+v3Req
150×50+1100×100+1150×150=150+1100+1150Req
36+9+4150×50×4=6+3+2900Req
Req 49150×150×4=11300
Req =330049=67.3 Ω

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