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Question

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 55.776 kJmol1.
(Take ln2=0.7, R(gas const)=8.3 J/(mol.K)1)

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Solution

From Arrhenius equation,
lnk2k1=EaR(1T11T2)
lnk2k1=557768.3(13001320)=1.4
lnk2k1=2×0.7=2 ln 2=ln 4 k2k1=4

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