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)+O_(2)rarr2SO_(3)`
Rate `=[SO_(2)]^(2)[O_(2)]`
`r=((a)/(V))^(2)((b)/(V))=(a^(2)b)/(V^(3))`
`r_(1)=(a^(2)b)/((1)^(3))=a^(2)b`
`r_(2)=(a^(2)b)/((2)^(3))=(a^(2)b)/(8)`
`r_(1):r_(2)=1:(1)/(8)=8:1`.