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Question

Physics Question on Resistance

The resistance of 0.01mKCl0.01 \,m \,KCl solution at 298K298\, K is 1500Ω1500\, \Omega. If the conductivity of 0.01mKCl0.01\, m \,KCl solution at 298K298\, K is 0.146×103Scm1.0.146 \,\times \,10^{-3}\, S \,cm ^{-1} . The cell constant of the conductivity cell in cm1cm ^{-1} is

A

0.219

B

0.291

C

0.301

D

0.194

Answer

0.219

Explanation

Solution

κ=1R(la)\kappa=\frac{1}{ R }\left(\frac{l}{ a }\right) la=κR\therefore \frac{l}{ a }=\kappa \cdot R =0.146×103×1500=0.146 \times 10^{-3} \times 1500 =219×103=0.219cm1=219 \times 10^{3}=0.219\, cm ^{-1}