Engineering
Chemistry
Arrhenius Equation
Question

The dependence of rate constant of a reaction on temperature may be given as
                d(ln K)dT=EaRT2
where Ea is activation energy for the reaction. For a reaction, the dependence of rate constant on temperature is given as
                ln K = 10 – 2500T + 3 ln T  
The activation energy of reaction is

(2500 + 3T)R

2500 + 3T

(2500 –3ln T)R 

2500 R

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Solution

ln K=10−2500T +3 ln T

d(lnK)dT=+2500T2+3T=2500 + 3TT2

∴    Ea = (2500 + 3T) R