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First Order Reaction

The reaction ...

Question

The reaction $A (g) ⟶ B (g) + 2 C (g)$ is a first order reaction with rate constant $2.772 \times 10^{- 3} s^{- 1}$ . Starting with $0.1$ mole of $A$ in $2$ litre vessel, find the concentration of $A$ after $250 s e c$ when the reaction is allowed to take place at constant pressure at $300 K$ ?

0.0125 M

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0.025 M

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0.05 M

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none of these

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Solution

The correct option is D $0.025 M$
Half life of reaction is $t_{1 / 2} = 0.693 / k = 250$ sec.
So after 250 sec concentration become half and remaing concentration is $0.05 / 2 = 0.025 M$ .

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