If 75 % of a first order reaction was completed in 90 minutes, 60 % of the same reaction would be completed…

If 75% of a first order reaction was completed in 90 minutes, 60% of the same reaction would be completed in approximately (in minutes) _____
(Take: log2=0.30 ;log2.5=0.40)

Solution

T=2.303Klog100100x%

T75%=2.303Klog10025=90

T60%=2.303Klog10040

T75%T60%=2log2log2.5  90T60%=2×0.30.4

T60%=90×46=60min.

Asked in: JEE Main 2020 (04 Sep Shift 1)

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