1.

75%. of a first order reaction is complete is 30 min. Calculate (a) half life, (b) rate constant and (c) time required for 99.9% completion of the reaction.

Answer»

Solution :Time required for `75%` completion is 2 HALF - lives = 30 min.
(a) Half - LIFE `(t_(1//2))=15` min (B) Rate CONSTANT,
`k=(0.693)/(t_(1//2))=(0.693)/(15)=0.046" min"^(-1)` (or) `7.7xx10^(-4)s^(-1)`
(c) Time required for `99.9%` of the reaction (t)
`t=(2.303)/(k)"log"(a)/(a-x)=(2.303)/(0.046)"log"(100)/(0.1)=149` min


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