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Resistance

The resistanc...

Question

The resistance of two electrolytes X and Y were found to be 45 and 100 respectively when equal volumes of both the solutions were taken in the same cell in two different experiments. If equal volumes of these solutions are mixed in the same cell, what will be the conductance of the mixture?

A

0.032

mho

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B

0.048

mho

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C

0.026

mho

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D

0.016

mho

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Solution

The correct option is C $0.016$ mho
If equal volumes of these solutions are mixed in the same cell,
both the cell solutions get doubly diluted and specific conductance become half so
$1 / 2 [L_{a} + L_{b}] = K / R$
$1 / 2 [1 / 45 K + 1 / 100 K] = K / R$
$C = 1 / R = 0.016 m h o$

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