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Question

The reation between A and B is first order with respect to A and zero order with respect to B. Fill in the blanks in the following table:

Experiment[A] mol L1[B] mol L1Initial ratemol L1 min1I0.10.12.0×102II0.24.0×102III0.40.4IV0.22.0×102

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Solution

The rate expression
Rate =k[A]1[B]0=k[A]
For 1st experiment, [A]=0.1 mol L1
So, Rate =2.0×102=k[0.1 mol L1]
k=2.0×102 mol L1 min10.1 mol L1=0.2 min1
For IInd experiment, 4.0×102mol L1 min1=0.2 min1[A]
[A]=4.0×102 mol L1 min10.2 min1=0.2 mol L1[A]=0.2 mol L1
For IIIrd experiment, Rate = k[A]
Rate =0.2 min1×0.4 mol L1
Rate =8×102 mol L1 min1
For IVth experiment,
Rate =k[A];[A]=Ratek
[A]=2.0×102mol L1min10.2 min1
=0.1 mol L1
[A]=0.1 mol L1


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