The rate constant of a first order reaction is $3 \times 10^{-6} \ s^{-1}$. If the initial concentration is $0.10 \ M$,the initial rate of reaction is:

  • A
    $3 \times 10^{-5} \ M \ s^{-1}$
  • B
    $3 \times 10^{-6} \ M \ s^{-1}$
  • C
    $3 \times 10^{-8} \ M \ s^{-1}$
  • D
    $3 \times 10^{-7} \ M \ s^{-1}$

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At $500\,^oC$,cyclopropane isomerizes to propene. This reaction is first order with a rate constant of $6.7 \times 10^{-4}\,s^{-1}$. If the initial concentration of cyclopropane is $0.05\, M$,what will be the molarity of cyclopropane after $30\, min$ (in $, M$)?

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In a first-order reaction of the type: $A_{(g)} \to 2B_{(g)}$,the initial pressure is $P_i$ and the total pressure at time $t$ is $P_t$. The rate constant $k$ can be expressed as:

The following data were obtained during the first order thermal decomposition of a gas $A$ at constant volume:
$A_{(g)} \rightarrow 2 B_{(g)} + C_{(g)}$
$S.No.$ $Time/s$ $Total Pressure/(atm)$
$1.$ $0$ $0.1$
$2.$ $115$ $0.28$

The rate constant of the reaction is . . . . . . $\times 10^{-2} \ s^{-1}$ (nearest integer).

For the decomposition of azoisopropane to hexane and nitrogen at $543 \ K,$ the following data are obtained.
$t \ (sec)$ $P \ (mm \ of \ Hg)$
$0$ $35.0$
$360$ $54.0$
$720$ $63.0$

Calculate the rate constant.

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The half-life period for a first-order reaction is . . . . . . .

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