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Question: Answered & Verified by Expert
The reaction 2N2O5g4NO2g+O2(g) follows first order kinetics. The pressure of a vessel containing only N2O5 was found to increase from 50 mm Hg to 87.5 mm Hg in 30 min. The pressure exerted by the gases after 60 min. Will be (Assume temperature remains constant) :
ChemistryChemical KineticsJEE MainJEE Main 2015 (10 Apr Online)
Options:
  • A 106.25 mm Hg
  • B 125 mm Hg
  • C 116.25 mm Hg
  • D 150 mm Hg
Solution:
1965 Upvotes Verified Answer
The correct answer is: 106.25 mm Hg
                 2N2O5g 4NO2g+O2g

at t=0,            P0                     0              0

at t=30 min.   (P0-x)                2x             x 2

at t=60 min.   (P0-y)                2y             y 2

P0=50 mmHg

after 30min.    P0-x+2x+x2=87.5

P0+32x=87.5 

32x=37.5  ;  x=25mmHg

P0=50 ;  P30min=25mmHg 

That mean 30 min. is Half life of reaction. 

P030 min.P0230 min.P04

at t= 60 min

PN2O5  =P04  504=12.5mmHg

P0-y=12.5 50-y=12.5

y=37.5mmHg

Total P after 60 min.  P0-y+2y+y250×32 ×37.5

=106.25 mmHg
 

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