1.

75% of a first order reaction was completed in 32 min . When would 50% of the reaction completedA. 24 minB. 16 minC. 8 minD. 64 min

Answer» Correct Answer - b
The first order rate constant is given as
`k = (2.303)/(t) "log" (a_(0))/(a_(0) - x) ` _______(i)
also , half life `t_(1//2) =(2.303 "log"2)/(K)` ______(ii)
Equating K from equation (i) and (ii)
`therefore (2.303"log"2)/(t_(1//2)) = (2.303)/(32) "log" (100)/(100-75)` or , `("log"2)/(t_(1//2)) = (1)/(32)` log 4 .
or `("log"2)/(t_(1//2)) = (1)/(32) xx 2` log 2
`therefore t_(1//2) = 16 ` minutes


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