Order of a Reaction from t1/2 Values


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A reaction is carried out at two different initial concentrations of a reactant [A], that is [A]0,1 and [A]0,2 and the respective t1/2 values (t1/2) and (t1/2)2 are obtained. The order of the reaction can be calculated as follows:

 

formula for order of reaction

 

Example 9:

A first order reaction has k=3 x 10-6 s-1 at 5/3 K. The reaction is allowed to run for five hours. After this time interval what percentage of the initial concentration would have changed into products? What is the half-life of the reaction?

Suggested answer :

In the integrated rate law expression k is given as

On substitution, the expression becomes

= 0.052

Hence, 5.2% of the initial concentration has changed to products.



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