ChemistryIf 75% of a first order reaction was completed in 90 minutes, 60% of the same reaction would be completed in approximately (in minutes) _______________ .(Take : log 2 = 0.30; log 2.5 = 0.40)

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 : log 2 = 0.30; log 2.5 = 0.40)

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    Solution:

    According to the first order kinetics:

    k=2.303tlogAoAt

    When 75% reaction was completed.

    k=2.30390log10025 k=2.30390log 4 k=0.0154 min-1

    Time required to completed 60% of reaction.

    t=2.3030.0154log10040 t=2.303×0.40.0154 min-1=60 min

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