The reaction, `2SO_(2(g))+O_(2(g))rarr2SO_(3(g))` is carried out in a 1 `dm^3` vessel and 2 `dm^3` vessel separately. The ratio of reaction rates will be

Options

A. `1:8`
B. `1:4`
C. `4:1`
D. `8:1`

Answer

D

Explanation

Rate `(r_1)=k[SO_2]^2[O_2]` in 1 `dm^3` vessel
(Law of mass action)
In 2 `dm^3` vessel i.e., doubled volume, concentration becomes half.
rate`(r_2)=k[1/2SO_2]^2[1/2O_2]=1/8k[SO_2]^2[O_2]=1/8r_1`
`r_1=8r_2,` i.e., 8:1