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AIIMS 2006
Exam
AIIMS
Year
2006
Subject
Chemistry
Chapter
Chemical Kinetics

AIIMS 2006 · Chemistry · Chemical Kinetics

For the reaction, 2 ~N_2 O_5 arrow 4 NO_2+O_2 rate of reaction is

For the reaction, 2 N2O5→4NO2+O22 \mathrm{~N}_2 \mathrm{O}_5 \rightarrow 4 \mathrm{NO}_2+\mathrm{O}_2 rate of reaction is

Options

  1. A12ddt[ N2O5]\frac{1}{2} \frac{d}{d t}\left[\mathrm{~N}_2 \mathrm{O}_5\right]
  2. B2ddt[ N2O5]2 \frac{d}{d t}\left[\mathrm{~N}_2 \mathrm{O}_5\right]
  3. C14ddt[NO2]\frac{1}{4} \frac{d}{d t}\left[\mathrm{NO}_2\right]
  4. D4ddt[NO2]4 \frac{d}{d t}\left[\mathrm{NO}_2\right]

Correct answer

C. 14ddt[NO2]\frac{1}{4} \frac{d}{d t}\left[\mathrm{NO}_2\right]

Step-by-step solution

In general for a reaction, x1A+x2B→y1C+y2Dx_1 A+x_2 B \rightarrow y_1 C+y_2 D The rate expression may be expressed as −1x1d[A]dt=−1x2d[B]dt=1y1d[C]dt=1y2d[D]dt. -\frac{1}{x_1} \frac{d[A]}{d t}=-\frac{1}{x_2} \frac{d[B]}{d t}=\frac{1}{y_1} \frac{d[C]}{d t}=\frac{1}{y_2} \frac{d[D]}{d t} \text{. } For 2 N2O5→4NO2+2 \mathrm{~N}_2 \mathrm{O}_5 \rightarrow 4 \mathrm{NO}_2+O2−12d[ N2O5]dt=14d[NO2]dt=d[O2]dt\mathrm{O}_2 -\frac{1}{2} \frac{d\left[\mathrm{~N}_2 \mathrm{O}_5\right]}{d t}=\frac{1}{4} \frac{d\left[\mathrm{NO}_2\right]}{d t}=\frac{d\left[\mathrm{O}_2\right]}{d t}
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