By what factor would the specific rate of a first order reaction increase, if the temperature is increased from 27∘C to 47∘C. The activation energy for the reaction is 55.776kJmol−1. (Take ln2=0.7,R(gasconst)=8.3J/(mol.K)−1)
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Solution
From Arrhenius equation, lnk2k1=EaR(1T1−1T2) ⇒lnk2k1=557768.3(1300−1320)=1.4 ⇒lnk2k1=2×0.7=2ln2=ln4⇒k2k1=4