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Solution


Q.

Consider the following reaction:                                                                  [2024]  

A+B→C

The time taken for A to become 1/4th of its initial concentration is twice the time taken to become 1/2 of the same. Also, when the change of concentration of B is plotted against time, the resulting graph gives a straight line with a negative slope and a positive intercept on the concentration axis. The overall order of the reaction is _______.

 

Ans.

(1)

For first order reaction, Equal percentage of reaction is completed in equal time interval. Since for the given reaction, the time for A to become 1/4th of its initial concentration is twice the time taken to become 1/2 of the same, the reaction is first order w.r.t.A.

ao→t1/2ao2→t1/2ao4

For a zero order reaction, concentration of reactants decreases linearly with time.

So reaction is zero order w.r.t.B.

Rate law expression is: r=k[A]1[B]0

Order = 1 + 0 = 1.