Question

The rate of reaction at 273 K is $R_0$. The rate of reaction at 313 K will be : (Assuming temperature coefficient equal to 2)

• A. $16R_0$
• B. $64R_0$
• C. $\frac{R_0}{32}$
• D. $\frac{R_0}{16}$

Answer 1

The correct option is A $16R_0$

$k_{r_1}=R_0$ at $T_1=273K,k_{r_2}=?$ at $T_2=313K$ given $\mu =2$

$\frac{k_{r_2}}{k_{r_1}}={\mu }^{T_2-T_1/10}\frac{T_2-T_1}{10}=\frac{313-273}{10}=\frac{40}{10}=4$

$\frac{k_{r_2}}{R_0}=2^4$

$k_{r_2}=16R_0$