Blue litmus turns red in the following mixture of acid and base:

  • A
    $100 \ mL$ of $1 \times 10^{-2} \ M \ H_2SO_4 + 100 \ mL$ of $1 \times 10^{-2} \ M \ Ca(OH)_2$
  • B
    $100 \ mL$ of $1 \times 10^{-2} \ M \ HCl + 100 \ mL$ of $1 \times 10^{-2} \ M \ Ba(OH)_2$
  • C
    $100 \ mL$ of $1 \times 10^{-2} \ M \ H_2SO_4 + 100 \ mL$ of $1 \times 10^{-2} \ M \ NaOH$
  • D
    $100 \ mL$ of $1 \times 10^{-2} \ M \ HCl + 100 \ mL$ of $1 \times 10^{-2} \ M \ NaOH$

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If molar conductance at infinite dilution for $CH_3COO^-$ and $H^+$ ions are $50 \text{ S cm}^2 \text{mol}^{-1}$ and $350 \text{ S cm}^2 \text{mol}^{-1}$ respectively, and the molar conductivity of $5 \times 10^{-2} \text{ M}$ $CH_3COOH$ is $20 \text{ S cm}^2 \text{mol}^{-1}$, what is the hydrogen ion concentration in $\text{mol/dm}^3$ of $CH_3COOH$?

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