MCQ
The initial rate of hydrolysis of methyl acetate $(1 \ M )$ by a weak acid $( HA , 1 \ M )$ is $1 / 100^{\text {th }}$ of that of a strong acid $( HX , 1 \ M )$, at $25^{\circ} C$. The $K$ of $HA$ is
  • $1 \times 10^{-4}$
  • B
    $1 \times 10^{-5}$
  • C
    $1 \times 10^{-6}$
  • D
    $1 \times 10^{-3}$

Answer

Correct option: A.
$1 \times 10^{-4}$
a
As ester hydrolysis is first order with respect to $\left[ H ^{+}\right]$.

$\frac{R_{H A}}{R_{H X}}=\frac{\left[H^{+}\right]_{H A}}{\left[H^{+}\right]_{H X}}$

$\frac{1}{100}=\left[ H ^{+}\right]_{ HA }$

$Image$

$K_a=\frac{0.01 \times 0.01}{1}=10^{-4}$

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