Half-life period of a first order reaction is $1386 \ s$. The specific rate constant of the reaction is

  • A
    $0.5 \times 10^{-2} \ s^{-1}$
  • B
    $0.5 \times 10^{-3} \ s^{-1}$
  • C
    $5.0 \times 10^{-2} \ s^{-1}$
  • D
    $5.0 \times 10^{-3} \ s^{-1}$

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Similar Questions

Half-life for a first order reaction is $6.93 \ hour$. What is the time required for $80 \%$ completion of the reaction (in $hours$)?

The following data were obtained during the first order thermal decomposition of $SO_{2}Cl_{2}$ at a constant volume.
$SO_{2}Cl_{2(g)} \to SO_{2(g)} + Cl_{2(g)}$
ExperimentTime $/$ $s$Total pressure $/$ $atm$
$1$$0$$0.5$
$2$$100$$0.6$

Calculate the rate of the reaction when total pressure is $0.65 \ atm$.

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The first order rate constant for the decomposition of $N_2O_5$ is $6.2 \times 10^{-4} \ s^{-1}$. The half-life period for this decomposition in seconds is:

For an elementary reaction,$X_{(g)} \rightarrow Y_{(g)} + Z_{(g)}$,the $t_{1/2}$ is $10 \text{ minutes}$. In what period of time would the concentration of $X$ be reduced to $10 \%$ of its original concentration?

Consider the first order reaction $R \to P$. The fraction of molecules decomposed in the given first order reaction can be expressed as:

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