If 50 % of the reactant is converted into a product in first order reaction in 25 minutes how much of it would react in 100 minutes ?

Options

A. 93. 75 %
B. `87.5%`
C. `75%`
D. `100 % `

Answer

A

Explanation

`t_(1//2) = 25` min
Number of half - lives in 100 min =`(100)/(25)=4`
`:.` Fraction of substance remaining after 100 min `= (1)/(2^(4)) = (1)/(16)`
The fraction of substance reacted in 100 min .
`= 1- (1)/(16)=(15)/(16)=0.9375`
% of substance reacted = 93.75 %