The rate constant of a reaction increases by five times on increase in temperature from 27 ° C to 52…

The rate constant of a reaction increases by five times on increase in temperature from 27°C to 52°C. The value of activation energy in kJmol-1 is ___ .(Rounded-off to the nearest integer) R=8.314 J K-1 mol-1

Solution

T1=300 K, T2=325 K, K2=5 K

lnK2 K1=EaR1 T1-1 T2

or, ln5=Ea8.3141300-1325

or, Ea=0.7×2.303×8.314×12×325

=52271 J=52.271 kJ

Nearest integer answer will be 52 kJ

Asked in: JEE Main 2021 (25 Feb Shift 2)

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