show that for a first order reaction, the time required for half the charge is independent of intial concentration.

Asked by anusha | 5th Dec, 2013, 05:22: PM

Expert Answer:

 

A change in concentration unit does not change rate constant

                                Let a new unit is m time the first one

                               

The time taken for the completion of the same fraction of change is independent of initial concentration

Put (a-x) = f a, where f = fraction to which the concentration of reaction is reduced from its initial value

 

Then,                   

 

Thus tf is independent of a

                    The time taken in reducing the initial concentration to half of its initial value is called half life time (t0.5)

                                Therefore,

                                                               

Thus half change time of a first order reaction is independent of the initial concentration of the reactant

Answered by Vaibhav Chavan | 9th Dec, 2013, 01:26: PM

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