Show by uisng rate laws how much the rate of reaction `2NO(g) + O_(2)(g) rarr 2NO(g)` will change if the volume of the reaction vessel is diminished to `1//3` of its initial volume.

Explanation

`2NO(g) + O_(2)(g) rarr 2NO_(2) (g)`
Uisng rate law, as given theoretically, i.e.,
`r_(1) = k[NO]^(2)[O_(2)]`
When the volume is reduced to one-third of initial value, the concentration of partial pressure becomes theee times.
`:. r_(2) = k[3NO]^(2)[3O_(2)]`
`:. (r_(2))/(r_(1)) = 27`
`r_(2) = 27 r_(1)`