The rate of a gaseous reaction is given by the expression k[A][B]² . If the volume of vessel is reduced to one half of the initial volume, the reaction rate as compared to original rate is

Step-by-step solution

Given, rate law expression (r)=k[A][B]² Final volume (V₂ ) is reduced to half of initial volume (V₁ ) i.e. V₂=1 / 2 V₁ Final concentration [A] and [B]=[2 A] and 2[B] Final rate r^ =k[A]⁰[B]²=k[2 A][2 B]² aligned & r^ =k 2 4[A][B]² r^ =8 k[A][B]² & r^ =8 r aligned i.e. rate increases by 8 times.