MCQ
Azo isopropane decomposes according to the equation

${\left( {C{H_3}} \right)_2}CHN = NCH{\left( {C{H_3}} \right)_2}\left( g \right)\xrightarrow[{{{\text{N}}_2}{\text{(g) + }}{{\text{C}}_6}{{\text{H}}_{14}}{\text{(g)}}}]{{250 - 290{}\,^oC}}$

It is found to be a first order reaction. If initial pressure is $P_o$ and pressure of the mixture at time $t$ is $(P_t)$ then rate constant $K$ would be

  • $K = \frac{{2.303}}{t}\,\log \,\frac{{{P_0}}}{{2{P_0} - {P_t}}}$
  • B
    $K = \frac{{2.303}}{t}\,\log \,\frac{{{P_0} - {P_t}}}{{{P_0}}}$
  • C
    $K = \frac{{2.303}}{t}\,\log \,\frac{{{P_0}}}{{{P_0} - {P_t}}}$
  • D
    $K = \frac{{2.303}}{t}\,\log \,\frac{{2{P_0}}}{{2{P_0} - {P_t}}}$

Answer

Correct option: A.
$K = \frac{{2.303}}{t}\,\log \,\frac{{{P_0}}}{{2{P_0} - {P_t}}}$
a

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