Chemistry Class 12 NCERT Solutions: Chapter 4 ChemicalKinetic Part 10
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Q: 20. For the decomposition of azoisopropane to hexane and nitrogen at, the following data are obtained.
t(sec)  P(mm of Hg) 






Calculate the rate constant.
After time, t, total pressure,
Therefore,
For a first order reaction,
When
When
Hence, the average value of rate constant is
Note:  There is a slight variation in this answer and the one given in the NCERT textbook.
Q: 21. The following data were obtained during the first order thermal decomposition of at a constant volume.
Experiment 
 Total pressure/atm 
1  0  0.5 
2  100  0.6 
Calculate the rate of the reaction when total pressure is.
Answer:
The thermal decomposition of at a constant volume is represented by the following equation
After time, total pressure,
Therefore,
For a first order reaction,
When
When,
Therefore, when the total pressure is , pressure of is
Therefore, the rate of equation, when total pressure is , is given by,