A sample of milk splits after \(60 \mathrm{~min}\). at \(300 \mathrm{~K}\) and after \(40 \mathrm{~min}\). at \(400 \mat…

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

[JEE Main 2020, 9 Jan (Shift 2)]