For the reaction `AtoB`, the rate of reaction becomes three times when the concentration of A is increased by nine times. What is the order of reaction ?

Options

A. 1
B. 2
C. `1//2`
D. 0

Answer

C

Explanation

`AtoB`
Rate of reaction `rprop[A]^(n)` . . . (i)
If concentration of A is increased by nine times, then rate of reaction becomes three times,
`r.=3r`
`A.=9A`
`r. prop [A.]^(n)`
`3r. prop [9A]^(n)` . . . (ii)
From eq. (i) and (ii)
`(r)/(3r)=([A]^(n))/([9A]^(n))`
`(1)/(3)=((1)/(3))^(2n)`
1=2n
`n=1//2`
`therefore` Order of reaction=`[1//2]`