If the volume of the vessel in which the reaction `2NO+O_2 rarr2NO_2` is occurring is diminished to 1/3 rd of its initial volume . The rate of the reaction will be increased by

Options

A. 3 times
B. 9 times
C. 27 times
D. 36 times

Answer

C

Explanation

For a given reaction
`2NO_((g))+O_(2(g))hArr2NO_(2(g))`
Rate of reaction = `k[NO]^(2)[O_(2)]`
Rate of recation directly proportional to concentration of the compound or inversely proportional to the volume of the vessel .
i.e., `C prop(n)/(v)`
If volume of vessel is reduced by `1//3rd` of its initial value, then concentration of compound is increased by 3 times and consequently the rate of reaction by `27` times .