Question

For the reaction system $2NO\left(g\right)+O_2\left(g\right)\to 2N{O}_2\left(g\right)$; volume is suddenly reduced to half its value by increasing the pressure on it. If the reaction is of first order with respect to $O_2$ and second order with respect to $NO$, the rate of reaction will:

• A. diminish to one fourth of its initial value.
• B. diminish to one eighth of its initial value.
• C. increase to eight times of its initial value.
• D. increase to four times of its initial value.

Answer 1

Answer: (C)

increase to eight times of its initial value.

$rate=k\left[NO{]}^2\right[O_2]$

As, $C$ = $\frac{n}{V}$

On making the volume half, concentration doubles and rate of reaction becomes eight times.