Question

The half life period for catalytic decomposition of ab3 at 50mm is found to be 4 hr and at 100mm it is 2 hrs order of reaction is

Answer 1

Half life period of a reaction is indirectly proportional to the initial concentration.

$t_{1/2}$ ∝ 1 / $C_{o} ^{n-1}$

For first scenario, Half life = 4 years; Concentration = 50mm

4 = 1/ $50^{n-1}$

For second scenario, Half life = 2 years; Concentration = 100mm

2 = 1/ $100^{n-1}$

Ratio will be:

4/2 = $(100/50)^{n-1}$

2= $2^{n-1}$

Therefore, n = 2

Order of reaction is 2.