For the decomposition of a compound AB at 600 K, the following data were obtained.

The order of the decomposition of AB is

Options

A. 0
B. 1
C. 2
D. 1.5

Answer

C

Explanation

Let rate equation be

rate `=k[AB]^(n)`
Case (i) `2.75xx10^(-8)=k[0.2]^(n)`
Case (ii) `11xx10^(8)=k[0.40]^(n)`
Case (iii) `24.75xx10^(-8)=k[0.6]^(n)`
Divide ii by I
`=(11xx10^(-8))/(2.75xx10^(-8))=([0.40]^(n))/([0.2]^(n))`
`implies2^(n)=4impliesn=2:.` Order of reaction is 2.