If the rate constant of a reaction is 0.03 ~s ⁻¹ , how much time does it take for 7.2 ~mol ~L ⁻¹ concentration of the reactant to get reduced to 0.9 ~mol ~L ⁻¹ ? (Given : 2=0.301 )

Step-by-step solution

aligned & K =0.03 ~s ⁻¹ (First order reaction) & A ₀=7.2 ~mol ~L ⁻¹ & ~A _ t =0.9 ~mol ~L ⁻¹ & 7.2 t _ 1 / 2 3.6 t _ 1 / 2 1.8 t _ 1 / 2 0.9 & t =3 t _ 1 / 2 = 3 0.693 0.03 =69.3 ~s aligned