The reversible nonequilibrium kinetic model (RNEK) that describes the adsorption and desorption behavior of CO2 in K-promoted hydrotalcite like compound (HT1c) was further modified to account for different CO2 pressures. A complete set of model parameters were obtained by fitting it to experimental adsorption and desorption cycling data carried out with commercial K-promoted HT1c at four temperatures (380, 420, 460, and 500 degrees C) and five CO2 partial pressures (0.05, 0.19, 0.41, 0.86, and 1.0 atm). Four consecutive cycles were run, with each having a 30 min adsorption step in CO2 and a 30 min desorption step in He. The RNEK model fitted the experimental data very well over the wide ranges of temperature and pressure. This new version of the RNEK model should be very useful for designing temperature and pressure swing adsorption processes and sorption enhanced reaction processes via dynamic modeling, especially within the range of conditions studied.