JEE PYQ: Chemical Kinetics Question 11
Question 11 - 2021 (26 Feb Shift 2)
If the activation energy of a reaction is 80.9 kJ mol$^{-1}$, the fraction of molecules at 700 K, having enough energy to react to form products is $e^{-x}$. The value of $x$ is ____.
(Rounded off to the nearest integer)
[Use $R = 8.31,\text{J K}^{-1}\text{mol}^{-1}$]
Show Answer
Answer: 14
Solution
$E_a = 80.9,\text{kJ/mol}$. Fraction of molecules able to cross energy barrier $= e^{-E_a/RT} = e^{-x}$. $x = \frac{E_a}{RT} = \frac{80.9 \times 1000}{8.31 \times 700} = 13.91 \approx 14$.
BETA
