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 L−1[B] mol L−1Initial ratemol L−1 min−1I0.10.12.0×10−2II−0.24.0×10−2III0.40.4−IV−0.22.0×10−2
The rate expression
Rate =k[A]1[B]0=k[A]
For 1st experiment, [A]=0.1 mol L−1
So, Rate =2.0×10−2=k[0.1 mol L−1]
k=2.0×10−2 mol L−1 min−10.1 mol L−1=0.2 min−1
For IInd experiment, 4.0×10−2mol L−1 min−1=0.2 min−1[A]
[A]=4.0×10−2 mol L−1 min−10.2 min−1=0.2 mol L−1[A]=0.2 mol L−1
For IIIrd experiment, Rate = k[A]
Rate =0.2 min−1×0.4 mol L−1
Rate =8×10−2 mol L−1 min−1
For IVth experiment,
Rate =k[A];[A]=Ratek
[A]=2.0×10−2mol L−1min−10.2 min−1
=0.1 mol L−1
[A]=0.1 mol L−1