Problem

Half life of reaction :

H_2O_{2(aq)} \rightarrow H_2O_{(l)} + O_{2(g)}

is independent of initial concentration of

H_2O_2

volume of

O_2

gas after 20 minute is 5L at 1 atm and

27^\circ C

and after completion of reaction 50L. The rate constant is (a)

\frac{1}{20} \log 10 \text{ min}^{-1}

(b)

\frac{2.303}{20} \log 10 \text{ min}^{-1}

(c)

\frac{2.303}{20} \log \frac{50}{45} \text{ min}^{-1}

(d)

\frac{2.303}{20} \log \frac{45}{50} \text{ min}^{-1}