If the volume of the vessel in which the reaction `2NO_((g)) + O2_((g)) rarr 2NO_(2(g))` 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 reaction directly proportional to concentration of the compound or inversely proportional to the volume of the vessel.
i.e. `Cpropn/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.