The molar conductivities of $HCl$,$NaCl$,$CH_{3}COOH$,and $CH_{3}COONa$ at infinite dilution follow the order:

  • A
    $HCl > NaCl > CH_{3}COONa > CH_{3}COOH$
  • B
    $CH_{3}COONa > HCl > NaCl > CH_{3}COOH$
  • C
    $HCl > NaCl > CH_{3}COOH > CH_{3}COONa$
  • D
    $CH_{3}COOH > CH_{3}COONa > HCl > NaCl$

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Given the following molar conductivities at $25\,\text{}^{\circ}C$: $HCl = 426\,\Omega^{-1}\,cm^{2}\,mol^{-1}$,$NaCl = 126\,\Omega^{-1}\,cm^{2}\,mol^{-1}$,and sodium crotonate $(NaC)$ = $83\,\Omega^{-1}\,cm^{2}\,mol^{-1}$. Calculate the ionization constant $(K_{a})$ of crotonic acid $(HC)$ if the conductivity of a $0.001\,M$ crotonic acid solution is $3.83 \times 10^{-5}\,\Omega^{-1}\,cm^{-1}$.

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