The rate of reaction is quadrupled when temperature changes from 27°C to 57°C.Calculate Ea

NEET-2024
The rate of reaction quadruples when temperature changes from 27˚C to 57˚C . Calculate the energy of activation.
Given R=8.314 J K-1 mol-1 , log4=0.6021

(1) 38.04 KJ/mol

(2) 380 KJ/mol

(3) 3.80 KJ/mol

(4) 3804 KJ/mol

Correct answer (1)
solution: to relate activation energy(Ea),rate constant and temperature we will write the arrhenius equation in terms of log(K2/K1)=Ea/2.303R(1/T1-1/T2)
substitute the values and get the answer.
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