Problem

The decomposition of

N_2O_5

in chloroform was followed by measuring the volume of

O_2

gas evolved :

2N_2O_5(CCl_4) \rightarrow 2N_2O_4(CCl_4) + O_2(g)

. The maximum volume of

O_2

gas obtained was 100

cm^3

. In 500 minutes, 90

cm^3

O_2

were evolved. The first order rate constant (in

min^{-1}

) for the disappearance of

N_2O_5

is : (a)

\frac{2.303}{500}

(b)

\frac{2.303}{500} \log \frac{100}{90}

(c)

\frac{2.303}{500} \log \frac{90}{100}

(d)

\frac{100}{10 \times 500}