What is the degree of dissociation of $CH_3COOH$ if $\wedge^{\circ}(CH_3COO^{-}) = 50 \ S \ cm^2 \ mol^{-1}$,$\wedge^{\circ}(H^{+}) = 350 \ S \ cm^2 \ mol^{-1}$ and the molar conductivity of $5 \times 10^{-2} \ M \ CH_3COOH$ is $20 \ S \ cm^2 \ mol^{-1}$?

  • A
    $1.25 \times 10^{-4}$
  • B
    $1.25 \times 10^{-2}$
  • C
    $5 \times 10^{-2}$
  • D
    $5 \times 10^{-4}$

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