Q.

Consider an elementary reaction A(g) + B(g) → C(g) + D(g)

If the volume of reaction mixture is suddenly reduced to 13 of its initial volume, the reaction rate will become ‘x’ times of the original reaction rate. The value of x is:     [2025]

1 13  
2 19  
3 3  
4 9  

Ans.

(4)

A(g) + B(g) → C(g) + D(g)

Since it is an elementary reaction, r = k[A][B]. i.e. it is a second order reaction. Reducing volume three times increases concentration of both A and B three times. So rate of reaction becomes 3 × 3 = 9 times.