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The equivalent conductances of sodium, Chroride, hydrochlroic acid and sodium acetate at infinite dilution are 126.45, 426.16 and 91 ohm-1cm2eq-1, respectively at 25oC. Calculate the equivalent conductance of acetic acid at infinite dilution.

  • Option 1)

    370.8 ohm-1cm2eq-1

  • Option 2)

    390.7 ohm-1cm2eq-1

  • Option 3)

    377.7 ohm-1cm2eq-1

  • Option 4)

    407.7 ohm-1cm2eq-1

 

Answers (1)

As we have learnt,

 

Formula for limiting molar conductivity for electrolyte -

\Lambda_{m}^{0}= \lambda _{+}^{0}.\nu _{+}\:+\:\nu _{-}.\lambda_{-}^{0}

\lambda _{+}^{0}\:and\:\lambda_{-}^{0}

are limiting molar conductivities of cation and anion respectively.

- wherein

if an electrolyte on dissociation gives \nu_{+} \:cation\:and\: \nu_{-} anions.

 

 \\*\Lambda_{\infty\;CH_3COONa} = \lambda_{CH_3COO^-} + \lambda_{Na^+} = 91 \;\;\; -(1) \\*\Lambda_{\infty\;HCl} = \lambda_{H^+} + \lambda_{Cl^-} = 426.16\;\;\;- (2) \\*\Lambda_{\infty\;NaCl} = \lambda_{Na^+} + \lambda_{Cl^-} = 126.45\;\;\; -(3)

Addding 1& 2 and subtracting 3, we get 

\Lambda_{\infty\;CH_3COOH} = \lambda_{CH_3COO^-} + \lambda_{H^+} = 390.7 ohm^{-1}cm^2{eq^{-1}}

 


Option 1)

370.8 ohm-1cm2eq-1

Option 2)

390.7 ohm-1cm2eq-1

Option 3)

377.7 ohm-1cm2eq-1

Option 4)

407.7 ohm-1cm2eq-1

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