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posted by  caribbeankahakai on 9/17/2008 7:08:47 PM  |  status: Live  

Activation Energy

Course Textbook Chapter Problem
General Chemistry N/A N/A N/A
Question Details:
I'm confused on how to go about this problem...any ideas? Thanks so much!!

The activation energy of a certain reaction is 67.2 {\rm kJ/mol}
How many times faster will the reaction occur at 51^\circ {\rm C} than at 0 ^\circ {\rm C}?
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posted by Werner on 9/18/2008 5:43:08 AM  |  status: Live
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caribbeankahakai's comment:
"awesome, thank you"
Response Details:
  Given that
    T1 = 00C
        = 273 K
   T2 = 51 0C
        = 324 K
   k2 /k1 = ?
   Ea = 67.2 kJ/mol
        = 67200 J/mol
   Accrding to Arrhenius equation
      ln(k2/k1) = (Ea/R){(1/T1) -(1/T2)}
    ln(k2/k1)   =  (Ea/R){(1/T1) -(1/T2)}
                    = (67200 J/mol / 8.314 J/K.mol ) { (1/273K) - (1/324K) }
                    = 4.66
         (k2/k1) = e4.66
                     = 105.64
   Hence the reaction is 105.64 times faster at 51^\circ {\rm C} than at 0 ^\circ {\rm C}.
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posted by Ainala8055 on 9/18/2008 6:24:44 AM  |  status: Live
Asker's Rating: Helpful   
caribbeankahakai's comment:
"thanks!"
Response Details:
Activation energy    Ea = 67200 J/mol
   Accrding to Arrhenius equation
      ln(k2/k1) = (Ea/R)(t2-t1/t1t2)
    ln(k2/k1)   =  (67200 J/mol / 8.314 J/K.mol ) (51/273 x 324) 
                    = 4.66
         (k2/k1) = e4.66
                     = 105.64
                 k2=105.64k1
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