JEE Main202228 Jun 2022Morning ShiftChemistryChemical KineticsActual
For a first order reaction A → B , the rate constant, k = 5 . 5 × 10 - 14 s - 1 . The time required for 67 % completion of reaction is x × 10 - 1 times the half life of reaction. The value of x is Nearest integer) (Given : log 3 = 0 . 4771 )
Correct answer
0
Step-by-step solution
For first order reaction, t = 2 . 303 k log A 0 A t Now, t 67 % = 2 . 303 k log A 0 . 33 A & t 50 = 2 . 303 k log A 0 . 5 A t 67 % = 1 k ln 1 1 - 0 . 67 = t 1 / 2 ln 2 × ln 1 1 - 2 3 ⇒ t 67 % = 1 . 585 × t 1 / 2 X × 10 - 1 = 1 . 585 ⇒ X = 15 . 85