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Q.

A conductivity cell (X) employs two electrodes having surface area of 10cm² and separated by a distance of 10cm. It is filled with 0.01M solution of an electrolyte and connected in the wheatstone bridge. The balanced bridge is shown in the diagram. What is the molar conductivity of the electrolyte?

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a

$10^{3} {Scm}^{2} {mol}^{- 1}$

b

$250 {Scm}^{2} {mol}^{- 1}$

c

$100 {Scm}^{2} {mol}^{- 1}$

d

$500 {Scm}^{2} {mol}^{- 1}$

answer is A.

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Detailed Solution

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$\begin{array}{l} \frac{R_{1}}{R_{2}} = \frac{R_{1}^{'}}{R_{2}^{'}}; \frac{R}{200} = \frac{25}{50} \Rightarrow R = 100 Ω \\ \Rightarrow K = \frac{1}{R} \times \frac{l}{a} \\ But \land_{M} = \frac{K \times 1000}{M} = \frac{\frac{1}{100} \times 1000}{0.01} \\ \Rightarrow \land_{M} = 10^{3} unit \end{array}$

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A conductivity cell (X) employs two electrodes having surface area of 10cm2 and separated by a distance of 10cm. It is filled with 0.01M solution of an electrolyte and connected in the wheatstone bridge. The balanced bridge is shown in the diagram. What is the molar conductivity of the electrolyte?