COMEDK · Chemistry · 19. Chemical Kinetics
When the temperature of a reaction \(\mathrm{A}+\mathrm{B} \rightarrow \mathrm{C}\) is increased from 300 K to 310 K the rate constant increases by \(12 \%\). What is the Activation energy of the reaction?
- A \(85.69 \mathrm{~kJ} / \mathrm{mol}\)
- B \(163.9 \mathrm{~kJ} / \mathrm{mol}\)
- C \(8.76 \mathrm{~kJ} / \mathrm{mol}\)
- D \(192.17 \mathrm{~kJ} / \mathrm{mol}\)
Answer & Solution
Correct Answer
(C) \(8.76 \mathrm{~kJ} / \mathrm{mol}\)
Step-by-step Solution
Detailed explanation
The Arrhenius equation is given by \(\ln \left( \dfrac{k_2}{k_1} \right) = \dfrac{E_a}{R} \left( \dfrac{T_2 - T_1}{T_1 T_2} \right)\). Given \(T_1 = 300 \text{ K}\), \(T_2 = 310 \text{ K}\), and \(k_2 = 1.12 k_1\). Substituting these values into the equation:…
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