4.10 In a reaction between A and B, the initial rate of reaction (r0) was measured for different initial concentrations of A and B as given below:

4h

The order of the reaction with respect to A and B would be:
1. The order w.r.t A is 0.5 and w.r.t B is zero 
2. The order w.r.t A is 1 and w.r.t B is 0.5
3. The order w.r.t A is 2 and w.r.t B is 1
4. The order w.r.t A is 1.5 and w.r.t B is zero 

NEETprep Answer:

Let the order of the reaction with respect to A be x and with respect to B be y.
Therefore,

r0=KAxBy
5.07×10-5=K0.20x0.30x(i)
5.07×10-5=K0.20x0.10x(ii)
1.43×10-4=K0.40x0.05x(iii)

Dividing equation (i) by (ii), we obtain

5.07×10-55.07×10-5=K0.20x0.30yK0.20x0.10y
1=0.30y0.10
0.300.1000.300.10y
y=0

Dividing equation (iii) by (ii), we obtain

1.43×10-45.07×10-5=K0.40N0.05K0.20N0.30y
1.43×10-45.07×10-5=0.40z0.20x=0.400.20xSincey=0.05y=0.30y=1
2.821=2N
log2.821=xlog2(Talkinglogbothsides)
x=log2.821log2
=1.496
=1.5(approximately)
Hence,theorderofthereactionwithrespecttoAis1.5andwithrespecttoBiszero