The initial rates of reaction `3 A+ 2B +C rarr` products at different initial concentration are given below
`{:("Initial rate, MS"^(-1),|A_(0)|M,|B_(0)|M,|C_(0)|M),(5.0xx10^(-3),0.010,0.005,0.010),(5.0xx10^(-3),0.010,0.005,0.015),(1.0xx10^(-2),0.010,0.010,0.010),(1.25xx10^(-3),0.005,0.005,0.010):}`
The order of reaction with respect to the reacts A, B and C are respectively.

Options

A. 3.2.0
B. 3,2,1
C. 2,2,0
D. 2,1,0

Answer

D

Explanation

1st and 2nd set of data-No change in rate with the change in concentration of C. Thus, the order with respect to reactant C is zero.
1st and 3rd set of data-On doubling the concentration of B, rate becomes double
Thus, the order with respect to reactant 'B' is 1.
1st and 4th set of data-On doubling the concentration of A rate becomes four times. Thus, the order with respect to reactant is A is 2.