The first order reaction A ( g ) B ( g )+2 C ( g ) occurs at 25^ C . After 24 minutes the ratio of the concentration of products to the concentration of the reactant is 1: 3 . What is the half life of the reaction ( in ) ?( 1.11=0.046)

Step-by-step solution

array llll & A ( g ) & B ( g )+2 C ( g ) t =0 min & 100 & & t =24 & 100- x & x 2 x array aligned & Amount of product Amount of reactant = 1 3 = x+2 x 100-x & x=10 aligned Hence at t =24 ~min , amount of A left is 90 aligned & K= 2.303 24 100 90 & K=0.00441 & t_ 1 / 2 = 0.693 k = 0.693 0.00441 =157.14 ~min aligned