Chemical Kinetics

Chemical Kinetics

Question

(a) For a reaction A + B -->  P, the rate law is given by,

r = k [A]1/2 [B]2.

What is the order of this reaction?

(b) A first order reaction is found to have a rate constant k = 5·5 x 10-14 s-1. Find the half-life of the reaction. 

Answer

(a)

 For A + B-->  P

r = k [A]1/2 [B]2

The order of the reaction = 2 plus 1 half space equals 5 over 2 space equals 2.5

(b) For first order reaction

k = 5.5 x 10-14 s-1

Half-life period (straight t subscript bevelled 1 half end subscript) for the first order reaction

 straight t subscript bevelled 1 half space equals end subscript fraction numerator 0.693 over denominator straight k end fraction space equals fraction numerator 0.693 space over denominator 5.5 space straight x space 10 to the power of negative 14 end exponent end fraction

straight t subscript bevelled 1 half end subscript space equals 1.29 space straight x space 10 to the power of 13 space straight s

 

 

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