If the volume of the vessel in which the reaction 2 NO + O 2 longrightarrow 2 NO 2, is occurring is diminished to 1 / 3 r d of its initial volume. The rate of the reaction will be increased by

Question

If the volume of the vessel in which the reaction 2 NO + O 2 longrightarrow 2 NO 2, is occurring is diminished to 1 / 3 r d of its initial volume. The rate of the reaction will be increased by (A) 3 times (B) 9 times (C) 27 times (D) 36 times

Tardigrade Admin · Accepted Answer

As we know Aat, rate of reaction is directly proportional to concentration of reactant and inversely proportional to the volume of vessel.
ie, concentration

\propto \frac{n}{V}

For a given reaction,

2 NO (g) + O_{2} (g) ⇌ 2 N O_{2} (g)

Rate of reaction

= k [NO]^{2} [O_{2}]

If volume of vessel is reduced by

\frac{1}{3}

rd of its initial value, then concentration of compound is increased by

3

times. Hence, the rate of reaction will be increased by

27

times.

Q. If the volume of the vessel in which the reaction 2NO+O2​⟶2NO2​, is occurring is diminished to 1/3rd of its initial volume. The rate of the reaction will be increased by

3 times

9 times

27 times

36 times

Q. If the volume of the vessel in which the reaction $2 NO + O_{2} ⟶ 2 N O_{2}$ , is occurring is diminished to $1/3 r d$ of its initial volume. The rate of the reaction will be increased by