Verified Solution • 2025–26 Session
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QNEET-2024-Ch-99: NEET 2024 Chemistry - Class 12 NEET-2024-Ch-99 Solution: Rate constants of a reaction at 500 K and 700 K are \(0.04\…
Rate constants of a reaction at 500 K and 700 K are and respectively; then activation energy of the reaction is: (Given: ) 182310 J 18500 J 18219 J 18030 J
Multiple Choice Options
- A 182310 J
- B 18500 J
- C 18219 J
- D 18030 J
Step-by-Step Verified Solution
K = A e _ E a / R T
After taking In both side
ln _ K = ln _ A _ E a R T
ln _ K 1 = ln _ A _ E a R T 1 at temp. T 1 .... (i)
ln _ K 2 = ln _ A _ E a R T 2 at temp. T 2 .... (ii)
(ii) _ (i) ln _ K 2 _ ln _ K 1 = E a R [ 1 T 1 _ 1 T 2 ] ln _ K 2 K 1 = E a R [ 1 500 _ 1 700 ] ln _ 0.14 0.04 = E a R [ 700 _ 500 500 _ 700 ] ln _ 14 4 = E a R [ 200 500 _ 700 ] log _ 3.5 = E a 2.303 _ R [ 1 250 _ 7 ] 0.5441 = E a 2.303 _ 8.31 [ 1 250 _ 7 ] E a = 0.5441 _ 8.31 _ 250 _ 7 _ 2.303 = 0.5441 _ 83.1 _ 25 _ 7 _ 2.303 = 18222.65 � 18219 J