CBSE Class 12 Chemistry 2014 Outside Delhi Set 1 Solved Paper

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Question : 20
Total: 30
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  0.4
 2  100  0.7

Calculate the rate constant. (Given: log‌4=0.6021, log‌2=0.3010)
Solution:  
SO2Cl2(g)→SO2(g)+Cl2(g)
At‌t=0P000
At‌t=100‌secP0−PPP

P0‌=0.4‌atm
P0−P+P+P‌=0.7‌atm
P0+P‌=0.7‌atm
P‌=0.3‌atm
It's a first order reaction.
‌K=‌
2.303
t
‌log
‌
P0
P0−P

‌K=‌
2.303
t
‌log
‌
0.4
0.1

So, the rate constant, K=1.39×10−2 sec−1
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