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

Step-by-step solution

Number of half-lives = 100 25 =4 , i.e., n=4 Amount of the substance left after 4 half-lives aligned &= A⁰ 2^ n &= A⁰ 2⁴ = A⁰ 16 = 100 16 =6.25 % aligned ( n=4) Amount of the substance converted into the product in 100 ~min =100-6.25=93.75 %