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

Answer: 40

$r=k[x][y{]}^0=k[x]$
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