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Q.

If no catalyst ( $H^{+})$ is present in acid hydrolysis of ester (in above question) then rate constant $K$ is :

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a

$\frac{2.303}{t} \log \frac{V_{\infty}}{(V_{t} - V_{\infty})}$

b

$\frac{2.303}{t} \log \frac{V_{0}}{(V_{t} - V_{\infty})}$

c

$\frac{2.303}{t} \log \frac{V_{0}}{V_{t}}$

d

$\frac{2.303}{t} \log \frac{V_{\infty}}{(V_{\infty} - V_{t})}$

answer is B.

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Detailed Solution

$V_{0}$ can't be measured, since, initially, no $H^{+}$ is present.

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