Question

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

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

Answer 1

$Rate [X]^1[Y]^0$
$Rate = k[X]$
From Exp I and II,
$\frac{4 \times 10^{-3}}{2 \times 10^{-3}} = \left(\frac{L}{0.1}\right)^1 \left(\frac{0.2}{0.1}\right)^0$

$2 = (10 L)^1.$
Hence L = 0.2 mol/L
From Exp III and IV,
$\frac{M \times 10^{-3}}{2 \times 10^{-3}} = \left(\frac{0.4}{0.1}\right) \left(\frac{0.4}{0.2}\right)^0$

$\frac{M}{2} = 4$
$M = 8$
$\frac{M}{L} = \frac{8}{0.2}$

$\frac{M}{L} = 40$
So, the answer is 40.