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4. Chemical Kinetics
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Q19 of 39 Page 117

A first order reaction takes 40 min for 30% decomposition. Calculate t1/2.

Given:


Time t = 40 min


When 30% decomposition is undergone, 70% is the concentration.


We know, time taken


Where, k- rate constant


[R]° -Initial concentration


[R]-Concentration at time ‘t’


⇒


⇒


⇒


⇒ 258.23 = (2.303/k)


We know, Half-life t1/2 = 0.693/k


Which can be written as, t1/2 = 0.3010 × (2.303/k)


⇒ t1/2 = 0.3010 × 258.23


⇒ t1/2 = 77.72 min


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17

During nuclear explosion, one of the products is 90Sr with half-life of 28.1 years. If 1μg of 90Sr was absorbed in the bones of a newly born baby instead of calcium, how much of it will remain after 10 years and 60 years if it is not lost metabolically.

18

For a first order reaction, show that time required for 99% completion is twice the time required for the completion of 90% of reaction.

20

For the decomposition of azoisopropane to hexane and nitrogen at 543 K, the following data are obtained.



















t (sec)



P(mm of Hg)



0



35.0



360



54.0



720



63.0



Calculate the rate constant.

21

The following data were obtained during the first order thermal decomposition of SO2Cl2 at a constant volume.


SO2Cl2(g)→ SO2 (g) + Cl2 (g)


 






















Experiment




Time/s–1




Total pressure/atm




1




0




0.5




2




100




0.6



 


 


 


 


 


 


 


 


Calculate the rate of the reaction when total pressure is 0.65 atm

Questions · 39
4. Chemical Kinetics
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