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The equation representing the variation of rate constant with respect to temperature by Arrhenius equation is ____

(a) ln((frac{k_2}{k_1})) = –(frac{E}{R}  (frac{1}{T_2} – frac{1}{T_1}) )

(b) ln((frac{k_2}{k_1})) = (frac{E}{R}  (frac{1}{T_2} – frac{1}{T_1}) )

(c) ln((frac{k_2}{k_1})) = –(frac{E}{R}  (frac{1}{T_1}- frac{1}{T_2}) )

(d) ln((frac{k_2}{k_1})) = –(frac{E}{R}  (frac{1}{T_2} + frac{1}{T_1}) )

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The correct answer is (a) ln((frac{k_2}{k_1})) = –(frac{E}{R}  (frac{1}{T_2} – frac{1}{T_1}) )

For explanation I would say: By Arrhenius equation, k = (Ae^{frac{-Ea}{RT}},) where A is the frequency factor.

For two different temperatures, T1 and T2, the Arrhenius equation is reduced as ln((frac{k_2}{k_1})) = –(frac{E}{R}(frac{1}{T_2} – frac{1}{T_1}). )

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