There are tables in the literature. For a first-order gas phase reaction, an order of magnitude value is A=1013s-1. Generally the frequency factor is independent of temperatures, however on occasion it can be a weak function of temperature. See p.944
If the limiting reactant is not chosen as the basis of calculations, one could calculate a NEGATIVE concentration. See Example 3-5 (p.90).
and the k in the rate laws?
KC is an equilibrium constant, and k is specific rate constant and has units of time. The concentration equilibrium constant KC does not.
ONLY in very very rare instances at very high pressures such as, 6000 atm is k a function of pressure. See p.220 and CD-ROM on "Critiquing what you read."
Arrhenius Equation is k = Ae-E/RT
The frequency factor, A, is the coefficient of the exponential term.
It has the same units as k.
It is related to the number of collisions between molecules.
See p.942 and 943.
One can classify reactions by their overall order of reaction.
These can be found in the literature, journals, books, tables, etc., see the footnote on p.75. They can also be determined in the laboratory. See Ch.5
The rate law is determined only from experiment, see chapter 5. Also see chapter 7 for a discussion of non-elementary reactions.
It is a function of concentration of species participating in the reaction and whether or not there is a catalyst.
So that -rA has always the same units (mol/dm3 s), no matter what the reaction order.
The activation energy is a constant for each reaction (at least in a range of temperatures). It is related to the strength of the chemical bonds that must be broken and formed for the chemical reaction to take place.
For example, if the rate law is we can see that for large values of k2CA ( k2CA >> 1) the rate law becomes
, i.e. apparant zero order. If a zero-order reaction is conducted in a batch reactor, the concentration is a linear function of time (i.e. dC/dt = k and CA= CAo - kt).
Many chemical reactions are elementary. The only way to find the rate law is by experiment. See chapter 5.
The equilibrium constant and it's relationship to the concentrations of reacting species is determined by the thermodynamics Not by kinetics. See Appendix C.
When the equilibrium constant is very large (e.g. Ca. 1000). For irreversible reactions the rate law equation is simpler and so are the computations involved in reactor sizing.
Temperature affects the equilibrium constant, Kc and thus the rate law, through the Van't Hoff equation. See chapter 8 and Appendix C. For an exothermic reaction the equilibrium is shifted back to the left and Kc decreases.
The dimensionless equilibrium constant K is most always only function of temperature. However Kc and Kp can be functions of pressure. See Appendix C.
Activity coefficients correct for deviations from ideal solutions and ideal gases, and are necessary under non-ideal solutions.
Only when Z changes during the course of the reaction; that is, Z could change if we were to start the reaction at very very high pressures and end at low pressures. These conditions seldom, if ever, occur.