Question

The reaction \( 2NO(g) + O_2(g) \rightarrow 2NO_2(g) \) is of first order. If volume of the reaction vessel is reduced to \( \frac{1}{3} \) times, the rate of reaction would be:

• A. \( \frac{1}{3} \) times
• B. \( \frac{2}{3} \) times
• C. 3 times
• D. 6 times

Hint:

For first-order reactions, the rate depends on the concentration of the reactants, and changing the volume affects the concentration.

Answer 1

The Correct Option is C

For first-order reactions, the rate is directly proportional to the concentration of the reactants. When the volume is reduced, the concentration of the reactants increases, leading to an increase in the rate. If the volume is reduced by a factor of 3, the rate increases by a factor of 3.
Final Answer: \[ \boxed{3 \text{ times}} \]