Question

Show that if the concentration of a reactant is doubled, the rate of the reaction is also doubled for a first-order reaction, increases four times for a second-order reaction, increases by eight times for a third-order reaction, i.e., A → product.

Answer 1

(i) If the concentration of A is doubled.

Hence, for the first-order reaction, if the concentration is doubled, the rate is also doubled.

(ii) For a second-order reaction.

i.e., for a second-order reaction, if the concentration of A is doubled, the rate of the reaction increases by 4 times.

(iii) For a third-order reaction,

Hence, for a third-order reaction, if the concentration of the reactant is doubled the rate increases 8 times.