NEET2021ChemistryChemical KineticsActual
The slope of Arrhenius Plot lnk   v/s  1   T of first order reaction is - 5 × 10 3   K . The value of E a of the reaction is. Choose the correct option for your answer. [Given R = 8 . 314   J   K - 1   mol - 1 ]
Options
- A41 . 5   kJ   mol - 1
- B83 . 0   kJ   mol - 1
- C166   kJ   mol - 1
- D- 83   kJ   mol - 1
Correct answer
A. 41 . 5   kJ   mol - 1
Step-by-step solution
Arrhenius equation is k = Ae - E a RT So,    lnk = lnA - E a RT This is a straight-line equation of form y = mx + c where y = lnk , x = 1 T , m = - E a R and c = ln   A m = - E a R - 5 × 10 3 K = - E a 8 . 314 E a = 8 . 314 × 5 × 10 3   Jmol - 1 = 41 . 5   kJ   mol - 1