Which of the following represents integrated rate law equation for gas phase first order reaction, A ( g ) → B ( g ) + C ( g ) If P i = initial pressure of A P = total pressure of reaction mix

Question

Which of the following represents integrated rate law equation for gas phase first order reaction, A ( g ) ​ → B ( g ) ​ + C ( g ) ​ If P i ​ = initial pressure of A P = total pressure of reaction mixture at time?

TestHub · Accepted Answer

t = 0. t = t , ​ A ( g ) ​ ⟶ P i ​ P i ​ − x ​ B ( g ) ​ + C ( g ) ​ − x ​ − x ​ Total pressure of reaction mixture at time t ( P ) = P i ​ − x + x + x ​ P = P i ​ + x x = P − Pi ​ For first order reaction, ​ K = t 2.303 ​ ⋅ lo g P i ​ − x P i ​ ​ = t 2.303 ​ lo g P i ​ − ( P − P i ​ ) P i ​ ​ K = t 2.303 ​ ⋅ lo g 2 P i ​ − P P i ​ ​ ​

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