Arrhenius Equation 15.61

Arrhenius Equation:

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Cassidy 1G
Posts: 54
Joined: Fri Sep 29, 2017 7:07 am

Arrhenius Equation 15.61

Postby Cassidy 1G » Sat Mar 17, 2018 12:26 pm

Could someone explain how we derived this form of the Arrhenius equation in problem 15.61? Usually it is in the form lnk = -Ea/RT + lnA but for this problem we used ln(k'/k) = Ea/R (1/T - 1/T').

Jonathan Tangonan 1E
Posts: 50
Joined: Sat Jul 22, 2017 3:01 am

Re: Arrhenius Equation 15.61

Postby Jonathan Tangonan 1E » Sat Mar 17, 2018 12:56 pm

This equation is derived from the same reaction at different temperatures where the rate constants are different at separate temperatures so:

ln(k1)= lnA - Ea/RT1
ln(k2)= lnA - Ea/RT2

Then we subtract the the equations:

lnk2-lnk1= Ea/R(1/T1-1/T2)

ln(k2/k1)= (Ea/R)(1/T1-1/T2)

Cassidy 1G
Posts: 54
Joined: Fri Sep 29, 2017 7:07 am

Re: Arrhenius Equation 15.61

Postby Cassidy 1G » Sat Mar 17, 2018 1:03 pm

Thanks!

Gurkriti Ahluwalia 1K
Posts: 37
Joined: Fri Sep 29, 2017 7:07 am

Re: Arrhenius Equation 15.61

Postby Gurkriti Ahluwalia 1K » Sat Mar 17, 2018 8:51 pm

why do they multiply by the LCF in the solutions manual to obtain t-t'/t times t"


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