MCQ
The reaction $2 A + B _{2} \rightarrow 2 AB$ 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 $.....$. (Round off to the Nearest Integer).

  • $27$
  • B
    $37$
  • C
    $47$
  • D
    $57$

Answer

Correct option: A.
$27$
a
Reaction : $2 A + B _{2} \longrightarrow 2 AB$

As the reaction is elementary, the rate of reaction is $r = K \cdot[ A ]^{2}\left[ B _{2}\right]$

on reducing the volume by a factor of $3,$ the concentrations of $A$ and $B _{2}$ will become $3$ times and hence, the rate becomes $3^{2} \times 3=27$ times of initial rate.

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