Question

Rate constant of reaction increases $\left(2^n\right)$ times. Temperature coefficient of this reaction is '$2$', initial and final temperature of the reaction is ${25}^{o}C$ and ${115}^{o}C$. What will be the value of '$n$'?

• A. $90$
• B. $9$
• C. $512$
• D. $11$

Answer 1

The correct option is B $9$

$T_f={115}^{\circ }C,T_i={25}^{\circ }C$

$k_f=2^{n}k$

Now, $\frac{k_f}{k_i}=2\frac{T_f-T_i}{10}$

$2^n=2^{\frac{115-25}{10}}=2^9$

n=9