For a strong electrolyte,a plot of molar conductivity against (concentration)$^{1/2}$ is a straight line,with a negative slope. The correct unit for the slope is:

  • A
    $S \ cm^2 \ mol^{-3/2} \ L^{1/2}$
  • B
    $S \ cm^2 \ mol^{-1} \ L^{1/2}$
  • C
    $S \ cm^2 \ mol^{-3/2} \ L$
  • D
    $S \ cm^2 \ mol^{-3/2} \ L^{-1/2}$

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Resistance of a cell containing $0.02 \ M \ KCl$ solution is $164 \ \Omega$. If the cell is filled with $0.05 \ M \ AgNO_3$,the resistance becomes $75.8 \ \Omega$. Calculate the following: [Conductivity of $0.02 \ M \ KCl = 2.768 \times 10^{-3} \ \Omega^{-1} \ cm^{-1}$] $(i)$ Conductivity of $0.05 \ M \ AgNO_3$ (ii) Molar conductivity of $AgNO_3$ solution.

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