Question

The reaction between $X$ and $Y$ is first order with respect to $X$ and zero order with respect to $Y$.

Experiment	$\frac{[ X ]}{ mol\, L ^{-1}}$	$\frac{[ Y ]}{ mol L ^{-1}}$	$\frac{\text { Initial rate }}{ mol L ^{-1} \min ^{-1}}$
I	0.1	0.1	$2 \times 10^{-3}$
II	L	0.2	$4 \times 10^{-3}$
III	0.4	0.4	$M \times 10^{-3}$
IV	0.1	0.2	$2 \times 10^{-3}$

Examine the data of table and calculate ratio of numerical values of $M$ and $L$. (Nearest Inetger)

Answer 1

$r = k [ x ][ y ]^0= k [ x ]$
Using I & II
$\frac{4 \times 10^{-3}}{2 \times 10^{-3}}=\left(\frac{ L }{0.1}\right) \Rightarrow L =0.2$
Using I & III
$ \frac{ M \times 10^{-3}}{2 \times 10^{-3}}=\frac{0.4}{0.1} \Rightarrow M =8$
$ \frac{ M }{ L }=\frac{8}{0.2}=40$
Ans. 40