For the first$-order$ reaction,$T_{av}$ (average life),$T_{50}$ and $T_{75}$ in the increasing order are:

  • A
    $T_{50} < T_{av} < T_{75}$
  • B
    $T_{50} < T_{75} < T_{av}$
  • C
    $T_{av} < T_{50} < T_{75}$
  • D
    $T_{av} = T_{50} < T_{75}$

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The following data is obtained during the first order thermal decomposition of $2A_{(g)} \longrightarrow B_{(g)} + C_{(s)}$ at constant volume and temperature. The rate constant in $min^{-1}$ is:
$S$.No.TimeTotal pressure in Pascal
$1$.At the end of $10 \ min$$300$
$2$.After completion$200$

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Given : $\log 3 = 0.48$
$A.$ Reaction completes in $1000 \ s$.
$B.$ The reaction has a half-life of $500 \ s$.
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