A sample of milk splits after 60 min. at 300 K and after 40 min. at 400 K when the population of lactobacillus acidophilus in it doubles. The activation energy (in kJ/mol) for this process is closest to
(Given, R = 8.3 J $m o l^{- 1} K^{- 1}, l n (\frac{2}{3}) = 0.4, e^{- 3} = 4.0$ )

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l n k 2 k 1 = E a R 1 T 1 - 1 T 2 l n 60 40 = E a 8.3 1 300 - 1 400 E a = 3.98 k J / m o l e

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