The adsorption of gases on solid surfaces is a temperature-dependent process. An increase in temperature can affect the adsorption process in several ways, which can be analyzed using adsorption isotherms and the activation energy of the adsorption process.1. Adsorption Isotherms: Adsorption isotherms are graphical representations of the relationship between the amount of gas adsorbed on a solid surface and the equilibrium pressure of the gas at a constant temperature. Two common isotherms used to describe gas adsorption are the Langmuir isotherm and the Freundlich isotherm.a Langmuir Isotherm: The Langmuir isotherm assumes that adsorption occurs on a homogeneous surface with a fixed number of adsorption sites, and that there is no interaction between adsorbed molecules. According to the Langmuir isotherm, as the temperature increases, the adsorption capacity of the solid surface decreases. This is because the increased thermal energy causes the adsorbed molecules to desorb from the surface, reducing the overall adsorption.b Freundlich Isotherm: The Freundlich isotherm is an empirical model that assumes a heterogeneous surface with non-uniform adsorption sites. In this model, the adsorption capacity of the solid surface can either increase or decrease with increasing temperature, depending on the specific system and the strength of the adsorbate-adsorbent interactions.2. Activation Energy of Adsorption: The activation energy of adsorption is the minimum energy required for a gas molecule to be adsorbed onto a solid surface. The effect of temperature on the activation energy can be described using the Arrhenius equation:k = Ae^-Ea/RT where k is the rate constant, A is the pre-exponential factor, Ea is the activation energy, R is the gas constant, and T is the temperature.As the temperature increases, the exponential term in the Arrhenius equation becomes larger, which means that the rate constant k also increases. This implies that the adsorption process becomes faster with increasing temperature. However, this does not necessarily mean that the adsorption capacity will increase, as the increased thermal energy can also cause desorption, as mentioned earlier.In summary, the effect of increasing temperature on the adsorption of gases on solid surfaces depends on the specific system and the strength of the adsorbate-adsorbent interactions. Generally, increasing temperature leads to a decrease in adsorption capacity according to the Langmuir isotherm, while the effect on the Freundlich isotherm can be more complex. The activation energy of the adsorption process typically decreases with increasing temperature, leading to faster adsorption rates. However, this does not always translate to increased adsorption capacity, as desorption processes can also be enhanced at higher temperatures.