For a first order reaction A B the reaction rate at reactant concentration of 0.01 M is found to be 2.0 10⁻⁵ ~mol ~L ⁻¹ s ⁻¹ . The half life period of the reaction is:

Step-by-step solution

aligned & rate of reaction =2 10⁻⁵ ~mol ~L ⁻¹ ~s ⁻¹ & order of reaction is n=1 & rate = K [ A ]^n & [ ~A ] =0.01 M & K = 2 10⁻⁵ 0.01 =2 10⁻³ & ~K = 0.693 t_ 1 / 2 & t_ 1 / 2 = 0.693 2 10⁻³ =346.5 ~s aligned Related Theory For a first-order reaction, a graph plotted with [A] on the Y -axis and time on the X -axis, will be a straight line with a slope of -k .