For a reaction, A ⟶ B + C , it was found that at the end of 10 min from the start the total optical rotation of the system was 5 0 ∘ and when the reaction is complete it was 10 0 ∘ . Assuming that onl

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For a reaction, A ⟶ B + C , it was found that at the end of 10 min from the start the total optical rotation of the system was 5 0 ∘ and when the reaction is complete it was 10 0 ∘ . Assuming that only B and C are optically active and dextro rotatory, the rate constant of this first order reaction would be

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A ⟶ B + C . R 0 ​ = 0 , R t ​ = 5 0 ∘ , and R ∞ ​ = 10 0 ∘ . rate constant of the above reaction is given by: k = t 2.303 ​ lo g R ∞ ​ − R t ​ R ∞ ​ − R 0 ​ ​ k = t 2.303 ​ lo g 50 100 ​ = 0.069 mi n − 1

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