The rate of a first order reaction is 1.5 10⁻² ~mol ~L ⁻¹ ~min ⁻¹ at 0.5 M concentration of the reactant. The half life of the reaction is:

Step-by-step solution

Let the reaction be aligned & A k Product & Rate =k[ ~A ] & 1.5 10⁻² ~mol L ^ - 1 min ^ - 1 = k [ 0 . 5 ] & k= 1.5 10⁻² 0.5 &=3 10⁻² ~min ⁻¹ & t_ 1 / 2 = 0.693 k & t_ 1 / 2 = 0.693 3 10⁻² &=0.231 10^2 ~min & t_ 1 / 2 =23.1 ~min aligned Related Theory Decay profiles for first-order reactions with large and small rate constants