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[Solved] The slope of Arrhenius Plot (Ink v/s 1/T) of first order reaction is -5 x 10^3K. The value of Ea of the reaction is. Choose the correct option for your answer.

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The slope of Arrhenius Plot (Ink v/s 1/T) of first order reaction is -5 x 103K. The value of Ea of the reaction is. Choose the correct option for your answer.

[Given R = 8.314 JK–1 mol–1]

(1) 41.5 kJ mol–1

(2) 83.0 kJ mol–1

(3) 166 kJ mol–1

(4) –83 kJ mol–1

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Correct answer: (1) 41.5 kJ mol–1

Explanation:

ℓnK = ℓnA - \(\frac{Ea}{R}\)(\(\frac{1}{T}\))

In ℓnK v/s \(\frac{1}{T}\)graph

Slope = -\(\frac{Ea}{R}\)

-5 x 103 =\(\frac{-Ea}{8.314}\)

Ea = 5 x 103 x 8.314

= 41500 Jmol–1 or 41.5 kJ mol–1

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