Interpretation:
Concept introduction:
Every reaction has activation energy. To overcome this energy sometimes we should provide energy from outside. But for some reactions, we do not have to supply energy. Ambient temperature is enough that reactions. Those reactions are called spontaneous reactions.
Two methods can be used to find out the activation energy of a reaction when the rate constants at two or more temperatures are known.
- Two point method by solving simultaneous equations (If rate constants are known only for two temperatures
- Graphical method where activation energy can be obtained using the gradient of the graph (When rate constants for more than two temperatures are known)
Answer to Problem 11.57PAE
Solution:
Given:
Chemical reaction
|
Temperature/K |
|
2000 |
|
3000 |
|
4000 |
Explanation of Solution
- The rate of the equation for the reaction can be written as follows.
- The only equation relating activation energy and rate constant is Arrhenius equation which is given below. The frequency factor doesn’t depend on the temperature.
It can be written as
Therefore at two different temperatures at
When equation 1 is subtracted from equation 2,
Formula used:
Calculation:
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Chapter 11 Solutions
Chemistry for Engineering Students
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