Question

Two first order reactions proceed at same rate at 298 K when started with same initial concentration. The temperature coefficient of the first reaction is 2 while that of the second reaction is 3. What will be the ratio of the rates of these reactions at 328 K.

Answer 1

Let rate of reaction of first reaction $=R_1$

temperature coefficient $=2$

Rate of second reaction $=R_2$

$\Delta T=328-298=30$

$R_2=2^3{R}_1$

$R_2=8R_1$

$\frac{R_1}{R_2}=\frac{1}{8}$

$R_1:R_2=1:8$