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For a reaction A(g) $\to$ products, the following data are available.
Initial pressure of A, $p_{A} / Torr$ 429 273 150
Half-life period, $t_{1 / 2} / s$ 350 550 1001
The rate constant of the reaction is

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$6.66 \times 10^{- 2} {Torr}^{- 1} s^{- 1}$

$6.66 \times 10^{- 4} {Torr}^{- 1} s^{- 1}$

$6.66 \times 10^{- 6} {Torr}^{- 1} s^{- 1}$

$3.33 \times 10^{- 6} {Torr}^{- 1} s^{- 1}$

answer is C.

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Detailed Solution

For the second-order reaction, $k = \frac{1}{t_{1 / 2} {(p_{A})}_{0}} = \frac{1}{(429 s) (350 Torr)} = 6.66 \times 10^{- 6} {Torr}^{- 1} s^{- 1}$

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