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Question: Answered & Verified by Expert
The following data were obtained during the first order thermal decomposition of SO2Cl2 at a constant volume.

SO2Cl2gSO2g+Cl2g
 
Experiment Time / s-1 Total pressure/atm
1 0 0.5
2 100 0.6

What is the rate of reaction when total pressure is 0.65 atm?
ChemistryChemical KineticsJEE Main
Options:
  • A 0.35 atm s-1
  • B 2.235×10-3 atm s-1
  • C 7.8×10-4 atm s-1
  • D 1.55×10-4 atm s-1
Solution:
1704 Upvotes Verified Answer
The correct answer is: 7.8×10-4 atm s-1
SO2Cl2gSO2g+Cl2g
k=2.303tlogp02p0-Pt
=2.303100log0.52×0.5-0.6=2.303100log1.25
=2.2318×10-3s-1
Pressure of SO2Cl2 at time t pSO2Cl2
=2p0-Pt=2×0.50-0.65 atm
=0.35 atm
Rate of that time =k×pSO2Cl2
=2.2318×10-3×0.35=7.8×10-4 atm s-1

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