The half-life periof for catalystic decompoistion of `AB_(3)` at `50 mm` is found to be `4` hr and at `100 mm` it is `2.0 hr`. The order of reaction is

Options

A. 3
B. 1
C. 2
D. 0

Answer

C

Explanation

`t_(1//2)prop(1)/((P)^(n-1))` where n is order
Now `((t_(1//2))_(1))/((t_(1//2))_(2))=((p_(2))/(p_(1)))^(n-1)`
or `(2)/(4)=((50)/(100))^(n-1)`
or `(1)/(2)=((1)/(2))^(n-1)or n-1=1or n=1`.