The rate of a gaseous phase reaction becomes half if volume of container is doubled. Order of reaction is

Options

A. 1
B. `1//2`
C. 2
D. `1//3`

Answer

A

Explanation

`r =` Halved when `V = ` doubled
`:. C prop (1)/(V)`
`r =` Halved when `C =` Halved
`:. r prop C`, order `= 1`.
or `r = k[c]^(x)`
`r = k [(1)/(v)]^(x)`
When `V rarr 2V`
`(1)/(2) r = k[(1)/(2v)]^(x)`
`(1)/(2)r = [(1)/(2)]^(x) k[(1)/(v)]^(x)`
`rArr [(1)/(2)] = [(1)/(2)]^(x)`
`x =1`