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  • At particular concentration, the half life of the reaction is 200 minutes. When the concentration of the reactant become double half life becomes, 50 minutes, then what among the following will be

At particular concentration, the half life of the reaction is 200 minutes. When the concentration of the reactant become double half life becomes, 50 minutes, then what among the following will be the order of the reaction?

 

Option: 1

Zero


Option: 2

First 


Option: 3

Second


Option: 4

Third


Answers (1)

best_answer

Half-time of a reaction \mathrm{t_{1 /2}=[A o]^{1-n}} where Ao is initial concentration of reactant and \mathrm{n}  is order of reaction with respect to that reactant.

Since, the half-life gets  \mathrm{1 / 4^{\text {th }}} on halving the initial concentration, the half-life is inversely proportional to square of initial concentration.
\mathrm{ \Rightarrow 1-n=-2 }
\mathrm{ \Rightarrow n=3 }
Hence, it is a third order reaction.

Posted by

Suraj Bhandari

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