N ₂ O ₅ decomposes to NO ₂ and O ₂ and follow first order kinetics. After 50 minutes, the pressure inside the vessel increases from 50 mm Hg to 87.5 mm Hg. The pressure of the gaseous mixture after 100 minutes at constant temperature will be [Nearest integer]

Step-by-step solution

Total pressure at t=50 ~min is array r 50-p₁+2 p₁+ p₁ 2 =87.5 ~mm Hg p₁= 37.5 1.5 =25 ~mm Hg array Since, t=50 minutes is the half life period for reaction. Thus t=100 ~min is equal to 2 halflives. 50-p₂= 25 2 (At 2^ nd half life) p₂=37.5 ~mm Hg Total pressure at t=100 ~min 50-p₂+2 p₂+ p₂ 2 aligned & =50+15 p₂ 50+15 375 & =106.25 ~mm Hg aligned Hence, nearest integer will be 106.