For a chemical reaction `A rarr B`, the rate of reaction increases by a factor of `1.837` when the concentration of `A` is increased by `1.5` time. The order of reaction with respect to `A` is:

Options

A. 1
B. 1.5
C. 2
D. 2.5

Answer

B

Explanation

Initially rate `(r_(1)) = k [X]^(n)`
let n be the order of reaction then,` r_(1) xx 1.837 = k (k(1.5 X)^(n)`
dividing (ii) by (i)
`1.837 = (1.5)^(n)`
`:. N = 1.5`
Thus, order of reaction is 1.5