The rate of a reaction doubles when its temperature changes from 300 K   to   310 K . Activation…

The rate of a reaction doubles when its temperature changes from 300K to 310K. Activation energy of such a reaction will be:

R=8.314 JK-1mol-1 and log 2=0.301
  1. 58.5 kJ mol -1
  2. 60.5 kJ mol -1
  3. 53.6 kJ mol -1
  4. 48.6 kJ mol -1

Solution

logk2k1=Ea2.303R(1T21T1)

logk2k1=Ea2.303RT2-T1T1T2

log 2=Ea2.303×8.314×10300×310

Ea=0.301×2.303×8.314×300×31010=53603.9 J/mol

Ea=53.6 kJ mol-1.

Asked in: JEE Main 2013 (07 Apr)

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