$40 \ mL$ of a mixture of $CH_3COOH$ and $HCl$ (aqueous solution) is titrated against $0.1 \ M$ $NaOH$ solution conductometrically. Which of the following statements is correct?

  • A
    The concentration of $CH_3COOH$ in the original mixture is $0.005 \ M$
  • B
    The concentration of $HCl$ in the original mixture is $0.005 \ M$
  • C
    $CH_3COOH$ is neutralised first followed by neutralisation of $HCl$
  • D
    Point '$C$' indicates the complete neutralisation of $HCl$

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$A$ solution containing $Na_2CO_3$ and $NaOH$ requires $300 \ mL$ of $0.1 \ N$ $HCl$ using phenolphthalein as an indicator. Methyl orange is then added to the above titrated solution when a further $25 \ mL$ of $0.2 \ N$ $HCl$ is required. The amount of $NaOH$ present in the solution is ................. $g$ $(NaOH = 40, Na_2CO_3 = 106)$.

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