Substance Q initially weighs 120% of its remaining mass after its decay in 60 minutes. What is its half-life in hours?
Time = 60min = 1hr
Initial concentration= 1.2
Final concentration= 1
For first order reaction :-
K=2.303tlog[initial][final]K =\frac {2.303} {t} log\frac {[initial]} {[final]}K=t2.303log[final][initial]
=> K = 0.18 hr-
Half life = 0.691K=0.6910.18=3.8hours\frac {0.691} {K} =\frac {0.691} {0.18} = 3.8 hoursK0.691=0.180.691=3.8hours
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