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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Ionic conductance of $Ga^{3+}$ ions and $NO_3^-$ ions at infinite dilution are $120 \, \Omega^{-1} \, cm^2 \, mol^{-1}$ and $50 \, \Omega^{-1} \, cm^2 \, mol^{-1}$ respectively. Equivalent conductance of $Ga(NO_3)_3$ at infinite dilution will be ........... $\Omega^{-1} \, cm^2 \, eq^{-1}$.

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Reason : On increasing dilution,the degree of ionization of a weak electrolyte increases and the mobility of ions also increases.

The ionic conductivity of $Ba^{2+}$ and $Cl^{-}$ at infinite dilution are $127$ and $76 \ ohm^{-1} cm^2 eq^{-1}$ respectively. The equivalent conductivity of $BaCl_2$ at infinite dilution (in $ohm^{-1} cm^2 eq^{-1}$) would be $:-$

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