COMEDK · Chemistry · 19. Chemical Kinetics
How much faster would a reaction proceed at \(25^{\circ} \mathrm{C}\) than at \(0^{\circ} \mathrm{C}\) if the activation energy is \(65 \mathrm{~kJ}\)?
- A 11 times
- B 12 times
- C 4 times
- D 6 times
Answer & Solution
Correct Answer
(A) 11 times
Step-by-step Solution
Detailed explanation
The Arrhenius equation relates the rate constants \(k_1\) and \(k_2\) at temperatures \(T_1\) and \(T_2\) as follows: \(\ln\left(\dfrac{k_2}{k_1}\right) = \dfrac{E_a}{R} \left(\dfrac{1}{T_1} - \dfrac{1}{T_2}\right)\) Given \(E_a = 65000 \text{ J/mol}\), \(T_1 = 273 \text{ K}\),…
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