The rate constant of esterification $(k) = k'\, [H_2O]$ rate constant of esterification $2.0\times 10^{-3}\,min^{-1}$ calculate  $k'$.

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$k=k^{\prime}\left[\mathrm{H}_{2} \mathrm{O}\right]$

$\begin{aligned} \therefore k^{\prime} =\frac{k}{\left[\mathrm{H}_{2} \mathrm{O}\right]}=\frac{2.0 \times 10^{-3} \mathrm{~min}^{-1}}{55.5 \mathrm{~mol} \mathrm{~L}^{-1}} \\ =0.036 \times 10^{-3} \mathrm{~mol}^{-1} \mathrm{~L} \mathrm{~min}^{-1} \\ =3.6 \times 10^{-5} \mathrm{~mol}^{-1} \mathrm{~L} \mathrm{~min}^{-1} \end{aligned}$

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Based on the above data which one of the following is correct?

  • [AIPMT 2010]