For a first order reaction, A ( g ) ⟶ 2 B ( g ) + C ( g ) , the total pressure at 10 min and ' ∞ ' time are 200 and 300 mm of Hg , respectively. Assuming that the reaction was started with A

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For a first order reaction, A ( g ) ⟶ 2 B ( g ) + C ( g ) , the total pressure at 10 min and ' ∞ ' time are 200 and 300 mm of Hg , respectively. Assuming that the reaction was started with A only, the value of rate constant for the reaction would be

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A ( g ) ​ ⟶ 2 B ( g ) ​ + C ( g ) ​ : At t = 0 : P ∘ 0 0 At t = 10 min : P ∘ − x 2 x x At t = ∞ : 0 2 P ∘ P ∘ 3 P ∘ = 300 , P ∘ = 100 . P ∘ − x + 2 x + x = 200 , P ∘ + 2 x = 200 ; x = 50 . k = 10 2.303 ​ lo g ( 50 100 ​ ) = 10 2.303 ​ lo g ( 2 ) = 10 2.303 ​ × 0.3010 k ≈ 0.069 mi n − 1

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