The rate of a gaseous reaction is given by the expresison `k[A]^(2)[B]^(3)`. The volume of the reaction vessel is suddenly reduced to one-half of the initial volume. The reaction rate relative to the original rate will be

Options

A. `(1)/(8) a`
B. `(1)/(2)a`
C. 2a
D. 32a

Answer

D

Explanation

Rate `= k [A]^(2) [B]^(3) = a`
when volume is reduced to one half then conc. Of reactants will be doubled.
Rate `= k[2A]^(2) [2B]^(3) = 32 [A]^(2) [B]^(3) = 32 a`