Question

Consider the reaction : $2A+B⟶C+D$. If the rate expression is $r=K\left[A{]}^2\right[B{]}^0$ and if volume is reduced to $\frac{1}{3}$, the rate of reaction will increase.

• A. $27$ times
• B. $9$ times
• C. $8$ times
• D. Rate will not get affected

Answer 1

Answer: (B)

$9$ times

$r=\left[A{]}^2\right[B{]}^0$ ----- 1

If volume of the vessel is reduced to $\frac{1}{3}$ , The concentration of $A$ will become $3A$ and $B$ will also become $3B$.

$r^{{}^{\prime }}={\left[3A\right]}^2{\left[3B\right]}^0$

Therefore, $r^{{}^{\prime }}=9r$

Therefore, rate of the reaction increases 9 times