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The racemisation of pinene is first order reaction. In the gas phase the specific reaction rate was found to be 2.2. x 10–5 min–1 at 457.6 K and 3.07 x 10–3 min–1 at 510.1K. The activation energy is

(a)  ln 2.2 x 10 –5 x 457.6

(b)  3.048 x 10 –3

(c)  (510.1 x 457.6/52.5) R ln (307/2.2)

(d)  R (510.1 – 457.6) ln (3.07 x 10-3/2.2 x 10-5)

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Correct option  (c) (510.1 x 457.6/52.5) R ln (307/2.2)

Explanation:

According to Arrhenius equation

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