NTA Abhyas NEET2020ChemistryChemical KineticsPractice
The rate of a reaction quadruples when the temperature changes from 300 to 310 K . The activation energy of this reaction is: (Assume Activation energy and pre-exponential factor are independent of temperature; ln ( 2 ) = 0 . 693 ; R = 8 . 314 J - mol - 1 K - 1 )
Options
- A53 . 6 kJ mol - 1
- B214 . 4 kJ mol - 1
- C107 . 2 kJ mol - 1
- D53 . 6 kJ mol - 1
Correct answer
C. 107 . 2 kJ mol - 1
Step-by-step solution
ln k 2 k 1 = E a R 1 T 1 - 1 T 2 ln 4 = E a R 1 300 - 1 310 2 × 0 . 693 = E a R 10 300 × 310 E a   =   2 × 0.693 × 300 × 310 × 8.314 10   =   107.2   kJ/mol