The reaction : $2 A+B_{2} \rightarrow 2 A B$ is an elementary reaction. For a certain quantity of re

Question

The reaction : $2 A+B_{2} ightarrow 2 A B$ is an elementary reaction. For a certain quantity of reactants, if the volume of the reaction vessel is reduced by a factor of 3 , the rate of the reaction increases by a factor of _______ . (Nearest Integer)\

Professor PC Thomas Classes · Answer

(27) : For the given elementary reaction,\ Rate $(R)=k[A]^{2}\left[B_{2}ight]$\ On decreasing volume, concentration increases.\ So, rate after decreasing volume,\ $R^{1}=k[3 A]^{2}\left[3 B_{2}ight]$\ $R^{1}=k .3^{3}[A]^{2}\left[B_{2}ight] ; R^{1}=27 k[A]^{2}\left[B_{2}ight]$\ $\Rightarrow R^{1}=27 R$