Half-life period of a first-order reaction is $10 \ min$. Starting with an initial concentration of $12 \ M$,the rate after $20 \ min$ is:

  • A
    $0.0693 \ M \ min^{-1}$
  • B
    $0.693 \times 3 \ M \ min^{-1}$
  • C
    $0.0693 \times 3 \ M \ min^{-1}$
  • D
    $0.0693 \times 4 \ M \ min^{-1}$

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The following results were obtained during kinetic studies of the reaction $2A + B \to$ products:
Experiment $[A]$ $(mol \ L^{-1})$ $[B]$ $(mol \ L^{-1})$ Initial rate $(mol \ L^{-1} \ min^{-1})$
$I$ $0.10$ $0.20$ $6.93 \times 10^{-3}$
$II$ $0.10$ $0.25$ $6.93 \times 10^{-3}$
$III$ $0.20$ $0.30$ $1.386 \times 10^{-2}$

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