$R \rightarrow P$
$-x x=\frac{2}{3} a $
$a-\frac{2}{3} a$
According to the half-life of a first order reaction,
$t=\frac{2.303}{k} \log \frac{ a }{ a - x }$
$=\frac{2.303}{4.3 \times 10^{-4}} \log \frac{ a }{ a / 3}$
$=\frac{2.303}{4.3 \times 10^{-4}} \log 3$
$=2.5 \times 10^{3} \,sec$
(લો: $\log 2=0.30 ; \log 2.5=0.40)$
પ્રયોગ | $\frac{[ X ]}{ mol \;L ^{-1}}$ | $\frac{[ Y ]}{ mol\; L ^{-1}}$ | $\frac{\text { Initial rate }}{ mol\; L ^{-1}\; min ^{-1}}$ |
$I$ | $0.1$ | $0.1$ | $2 \times 10^{-3}$ |
$II$ | $.2$ | $0.2$ | $4 \times 10^{-3}$ |
$III$ | $0.4$ | $0.4$ | $M \times 10^{-3}$ |
$IV$ | $0.1$ | $0.2$ | $2 \times 10^{-3}$ |
$M$ મૂલ્યનો સંખ્યાત્મક ગુણોત્તર $........$ છે. (નજીકનો પૂર્ણાંક)