The reaction, `2SO_(2(g)) + O_(2(g))hArr2SO_(3(g))` is carried out in a 1 `dm^(3)` and ` 2 dm^3` vessel separately. The ratio of the reaction velocity will be

Options

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

Answer

D

Explanation

`2SO_(2)(g) + O_(2)(g)hArr2So_(3)(g)`
For 1 `dm^(3) R = K[SO_(2)]^(2) [O_(2)]`
`R = K[(1)/(1)]^(2) [(1)/(1)] = 1`
For 2 `dm^(3) R = K[(1)/(2)]^(2) [(1)/(2)] = (1)/(8)`
So, the ratio is `8 : 1`