Question

For the elementary reaction $2A+B_2\to 2AB$. Calculate how much the rate of reaction will change if the volume of the vessel is reduced to one third of its original volume?

• A. Rate increase by $27$ times
• B. Rate increase by $9$ times
• C. Rate increase by $1/27$ times
• D. None of these

Answer 1

The correct option is A Rate increase by $27$ times

$2A+B_2\to 2AB$ $(\frac{dx}{dt}{)}_1=K[A{]}^2\left[B_2\right]$

if V is decrease to $\frac{V}{3}$

$\Rightarrow (\frac{dx}{dt}{)}_2=[3A{]}^2\left[3B\right]$ $(\frac{dx}{dt}{)}_2=27(\frac{dx}{dt}{)}_1$

reaction increase by 27 times