(a) The rate of the reaction in terms of the "disappearance of reactant" includes the change in the concentration of the
reactant, the time interval, and the coefficient of the reactant.
Consider the following reaction:
2A+3B ------> 3C+2D
The concentrations of reactant A at three different time intervals are given. Use the following data to determine the average rate of reaction in terms of the disappearance of reactant A between time = 0 s and time = 20 s .
Time (s) 0 20 40
[A](M) 0.0400 0.0240 0.0180
Express your answer in molar concentration per second to three significant figures.

Respuesta :

Answer:

The average rate of the reaction in terms of disappearance of A is 0.0004 M/s.

Explanation:

Average rate of the reaction is defined as ratio of change in concentration of reactant with respect to given interval of time.

[tex]R_{avg}=-\frac{[A]_2-[A]_1}{t_2-t_1}[/tex]

Where :

[tex]A_1[/tex] = initial concentration of reactant at [tex]t_1[/tex].

[tex]A_2[/tex] = Final concentration of reactant at [tex]t_2[/tex].

2A+3B → 3C+2D

[tex]R_{avg}=-\frac{1}{2}\frac{[A]_2-[A]_1}{t_2-t_1}[/tex]

The concentration of A at ([tex]t_1=0 seconds[/tex] ) = [tex]A_1=0.0400 M[/tex]

The concentration of A at ([tex]t_2=20 seconds[/tex] ) = [tex]A_2=0.0240 M[/tex]

The average rate of reaction in terms of the disappearance of reactant A in an interval of 0 seconds to 20 seconds is :

[tex]R_{avg}=-\frac{1}{2}\times \frac{0.0240 M-0.0400 M}{20-0}=0.0004 M/s[/tex]

The average rate of the reaction in terms of disappearance of A is 0.0004 M/s.