At a certain temperature and at infinite dilution, the equivalent conductances of sodium benzoate,…

At a certain temperature and at infinite dilution, the equivalent conductances of sodium benzoate, hydrochloric acid and sodium chloride are 240, 349 and $229 \mathrm{ohm}^{-1} \mathrm{~cm}^2$ equiv $^{-1}$ respectively. The equivalent conductance of benzoic acid in $\mathrm{ohm}^{-1} \mathrm{~cm}^2$ equiv $^{-1}$ at the same conditions is
  1. 80
  2. 328
  3. 360
  4. 408

Solution

Given, $\wedge_{\mathrm{C}_6 \mathrm{H}_5 \mathrm{COONa}}^{\infty}=240 \Omega^{-1} \mathrm{~cm}^2$ equiv $^{-1}$ $\wedge_{\mathrm{HCl}}^{\infty}=349 \Omega^{-1} \mathrm{~cm}^2$ equiv $^{-1}$ $\wedge_{\mathrm{NaCl}}^{\infty}=229 \Omega^{-1} \mathrm{~cm}^2$ equiv $^{-1}$ $\wedge_{\mathrm{C}_6 \mathrm{H}_5 \mathrm{COOH}}^{\infty}=\wedge_{\mathrm{C}_6 \mathrm{H}_5 \mathrm{COONa}}^{\infty}+\wedge_{\mathrm{HCl}}^{\infty}-\wedge_{\mathrm{NaCl}}^{\infty}$ $=240+349-229$ $=360 \Omega^{-1} \mathrm{~cm}^2$ equiv $^{-1}$

Asked in: JEE-TOPICTESTS-CHEMISTRY

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