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The rate of a reaction quadruples when the temperature changes from 293K to 313K . Calculate the energy of activation of the reaction assuming that it does not change with temperature. Select the correct answer from above options

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Correct Answer - Ea=52.8mol-1 Let k at 293K=k1,kat313K=k2 ∴k2=4k1or k2 k1 =4 Using Arrhenius equation, log k2 k1 = Ea 2.303R ( T2-T1 T1T2 ) log4= Ea 2.303×8.314JK-1mol-1 × (313-293) 313×293 0.606= Ea 2.303×8.314 × 10 313×293 Solvie for Ea: ∴Ea=52860Jmol-1=52.86mol-1

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