A sample of milk splits after 60 m i n . at 300 K and after 40 m i n . at 400 K when the population of Iactobacillus 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 )

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Aicharya · Accepted Answer

ln k 2 k 1 = Ea R 1 T 1 1 T 2 ln 60 40 = Ea 8 .3 &#215; 100 400 &#215; 300 ln 3 2 &#215; 8 .3 &#215; 1200 = E a &#10233; E a = 0 .4 &#215; 8 .3 &#215; 1200 &#10233; E a = 3984 J mol . &#10233; E a = 3 .984&#160; k &#160; J mol .

A sample of milk splits after 60 m i n . at 300 K and after 40 m i n . at 400 K when the population of…

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