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Q.

The decomposition of a gaseous substance (A) to yield gaseous products (B), (C) follows First order kinetics. If initially only (A) is present and 10 minutes after the start of the reaction the pressure of (A) is 200 mm Hg and that of overall mixture i 800 mm Hg, then rate constant for $2 A ⟶ B + 3 C$ is:

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a

$(\frac{1}{10}) \ln 1.25 \sec^{- 1}$

b

$(\frac{1}{600}) \ln 1.25 \sec^{- 1}$

c

none of these

d

$(\frac{2.303}{10}) \log 1.5 \min^{- 1}$

answer is A.

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Detailed Solution

$2 \underset{\underset{P_{0} - x}{P_{0}}}{A} \to \underset{\underset{\frac{x}{2}}{-}}{B} + \underset{\underset{\frac{3 x}{2}}{-}}{3 C}$
$\begin{aligned} P_{0} - x = 200 \\ 2 x = 100 \\ x = 50 \\ P_{0} = 250 \\ k = \frac{1}{10} \ln (\frac{250}{200}) \end{aligned}$

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The decomposition of a gaseous substance (A) to yield gaseous products (B), (C) follows First order kinetics. If initially only (A) is present and 10 minutes after the start of the reaction the pressure of (A) is 200 mm Hg and that of overall mixture i 800 mm Hg, then rate constant for 2A⟶B+3C is: