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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 of reaction at initial pressure of 500 Torr of A is

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$1.665 Torr s^{- 1}$

$2.665 Torr s^{- 1}$

$5.656 Torr s^{- 1}$

$9.25 Torr s^{- 1}$

answer is A.

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Detailed Solution

The rate ofreaction at 500 Torr is

$r = k {(p_{A})}_{0}^{2} = (6.66 \times 10^{- 6} {Torr}^{- 1} s^{- 1}) (500 {Torr}^{2} = 1.665 {Torr}^{- 1}$

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