In a first order reaction if concentartion of reactant drops from 0.8 ~mol ~L ⁻¹ to 0.4 ~mol ~L ⁻¹ in 15 minute. What is the time required to drop concentration from 0.1 ~mol ~L ⁻¹ to 0.025 mol L ⁻¹ .

Step-by-step solution

As the concentration of reactant is reduced to half i.e., from 0.8 ~mol ~L ⁻¹ to 0.4 ~mol ~L ⁻¹ in 15 minutes, t _ 1 / 2 =15 minutes For a first order reaction, Time required to drop the concentration from aligned 0.1 ~mol ~L ⁻¹ to 0.025 ~mol ~L ⁻¹ & =2 t _ 1 / 2 & =2 15 minutes & =30 minutes aligned