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COMEDK · Chemistry · 19. Chemical Kinetics

\(\mathrm{N}_2 \mathrm{O}_5\) decomposes to \(\mathrm{NO}_2\) and \(\mathrm{O}_2\) 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]

  1. A 108
  2. B 107
  3. C 106
  4. D 109
Verified Solution

Answer & Solution

Correct Answer

(C) 106

Step-by-step Solution

Detailed explanation

Total pressure at \(t=50 \mathrm{~min}\) is \(\begin{array}{r} 50-p_1+2 p_1+\frac{p_1}{2}=87.5 \mathrm{~mm} \mathrm{Hg} \\ p_1=\frac{37.5}{1.5}=25 \mathrm{~mm} \mathrm{Hg} \end{array}\) Since, \(t=50\) minutes is the half life period for reaction. Thus \(t=100 \mathrm{~min}\) is…
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