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 2 3 = 0.4 , e - 3 = 4.0 )

Question

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 2 3 = 0.4 , e - 3 = 4.0 ), 39.8, 19.9, 3.98, 7.96

MARKS App · Accepted Answer

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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