2) 15. N2o5 decomposes to no2 and o2 and follows first order kinetics. After 50 minutes, the pressure inside the vessel increases from 50 mmhg to 87.5 mmhg. The pressure of the gaseous mixture after 100 minute at constant temperature will be: (1) 116.25 mmhg (2) 175.0 mmhg (3) 106.25 mmhg (4) 136.25 mmhg
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answer is(3 ) 106.25 mmhg
sol N2O5→2NO2+1/2O2
t=0 50 0 0
t=50min 50-p1 2p1 p1/2
=25
t=100 min 50-p2 2P2 p2/2
=12.5
50-p1+2p1+p1/2=87.5
50+3p1/2=87.5
3p1/2=37.5
p1=37.5×2/3=25
50min is half life period
50-p2=12.5
p2=37.5 mmhg
total pressure at 100 min
=50-p2+2p2+p2/2
=50+3p2/2=50+3/2×37.5
=50+56.25
=106.25mmgh
hope it is helpful
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JEE Mains 2019
Solution is in attachment
3) 106.25mm Hg ✔️
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