***MUST SHOW WORK FOR POINTS*** The kinetics of the reaction between two substan
ID: 839970 • Letter: #
Question
***MUST SHOW WORK FOR POINTS***
The kinetics of the reaction between two substances, A and B, was investigated using the method of initial rates in a series of three experiments.
In the first experiment, the initial concentration of A was 0.400 mol L-1, the initial concentration of B was 0.600 mol L-1, and the rate of the reaction was observed to be 1.05 mol L-1 of product per minute.
In the second experiment, the concentration of A was kept the same (0.400 mol L-1), and the concentration of B was doubled to 1.20 mol L-1. In this experiment, the rate was observed to be 1.05 mol L-1 of product per minute.
In the third and last experiment, the concentration of B was kept the same as in the second experiment (1.20 mol L-1), and the concentration of A was tripled to 1.20 mol L-1. In this experiment, the rate was observed to be 9.45 mol L-1 of product per minute.
The order with respect to A =
The order with respect to B =
The overall order =
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Explanation / Answer
Let the reaction be of order n wrt A.
r=k[A]n
Keeping [B] constant:
Taking experiment 2 and 3:
r2=k[0.400]n=1.05 ..(1)
r3=k[1.20]n=9.45 ..(2)
Dividing 1 by 2:
(0.400/1.20)n=1.05/9.45
(1/3)n=1/9
n=2
Thus reaction is 2nd order wrt A.
Keeping [A] constant:
Taking experiment 1 and 2:
r2=k[0.600]n=1.05 ..(3)
r3=k[1.20]n=1.05 ..(4)
Dividing 3 by 4:
(0.600/1.20)n=1.05/1.05
(1/2)n=1
n=0
Thus reaction is 0th order wrt B.
Overall order= order wrt A+ order wrt B
=2+0=2
Thus it is 2nd order overall.
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