Azo-isopropane decomposes according to the following equation:
$((CH_3)_2CHN = NCH(CH_3)_2)_{(g)} \xrightarrow{250 - 290 ^oC} (N_2)_{(g)} + (C_6H_{14})_{(g)}$
It is a first-order reaction. If the initial pressure is $P_o$ and the total pressure of the mixture at time $t$ is $P_t$,find the rate constant $K$.

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

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