At 1100 ºC n-nonane (n-C9H20) thermally cracks (i.e. breaks  into smaller molecule fragments) 20 times faster than at 1000º C. Find the activation energy for this

Introduction to Chemical Engineering Thermodynamics
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Problem 3. (Thermal Cracking Reaction). At 1100 ºC n-nonane (n-C9H20) thermally cracks (i.e. breaks 
into smaller molecule fragments) 20 times faster than at 1000º C. Find the activation energy for this 
reaction.

Expert Solution
Step 1: Given data:

A t space t e m p e r a t u r e comma
T subscript 1 equals 1000 to the power of o C
T subscript 1 equals left parenthesis 1000 plus 273.15 right parenthesis K
T subscript 1 equals 1273.15 K
T h e space r a t e space o f space t h e space r e a c t i o n space i s space r a t e subscript 1.

A t space t e m p e r a t u r e comma
T subscript 2 equals 1100 to the power of o C
T subscript 2 equals left parenthesis 1100 plus 273.15 right parenthesis K
T subscript 2 equals 1373.15 K
T h e space r a t e space o f space t h e space r e a c t i o n space i s colon space bold italic r bold italic a bold italic t bold italic e subscript bold 2 bold equals bold 20 bold italic r bold italic a bold italic t bold italic e subscript bold 1

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