Values of rate coefficients of uni- and bimolecular reactions at high
temperatures are important for understanding basic processes in shock
tubes and combustion systems. The usual procedure for deciphering a ki
netic scheme of a high-temperature process is to solve a matrix of cou
pled differential equations representing the rate equations with rate
coefficients which are functions of temperature alone. Time-independen
t rate coefficients for unimolecular (or bimolecular) reactions imply
a steady-state distribution of reactants during the reaction. This is
certainly true at low temperatures but, as the present work shows, fai
ls badly at high temperatures. The consequence of this failure is deca
y curves which deviate significantly from the ones obtained from const
ant rate coefficients. We show samples of such behavior for cyclobuten
e isomerization and cyclobutane fission.