$50 \ mL$ of $10^{-3} \ M \ HCl$ is mixed with $50 \ mL$ of $0.05 \ M \ CH_3COOH$ $(pK_a = 4.7)$. The degree of dissociation of water in the resulting solution is

  • A
    $1.8 \times 10^{-13}$
  • B
    $1.8 \times 10^{-15}$
  • C
    $1.8 \times 10^{-14}$
  • D
    $3.6 \times 10^{-13}$

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