At a heating rate of 10 K ·s^-1, the maximum rate of desorption of CO from a Pd(s) surface occu

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At a heating rate of 10 K ·s^-1, the maximum rate of...

At a heating rate of $10 \mathrm{~K} \cdot \mathrm{s}^{-1}$, the maximum rate of desorption of $\mathrm{CO}$ from a Pd(s) surface occurs at $625 \mathrm{~K}$. Calculate the value of $E_{\text {ads }}$, assuming that the desorption is a first-order process and that $\tau_{0}=1.40 \times 10^{-12}$ s. (See Problems $29-69$ and $29-70)$

Key Concepts

Temperature Programmed Desorption (TPD) and Redhead Analysis

TPD is an experimental method where the temperature is ramped at a constant rate to study desorption processes. Redhead analysis uses the temperature of maximum desorption rate, along with known parameters like the heating rate and pre-exponential factor, to calculate the activation energy for desorption.

Desorption Kinetics

Desorption kinetics describe how the rate at which molecules leave a surface depends on temperature and the amount of adsorbed species. In the context of surface reactions, understanding desorption kinetics is key to determining reaction mechanisms and energy barriers.

Activation Energy (E_ads)

The activation energy for desorption is the energy barrier that must be overcome for an adsorbed molecule to leave the surface. Determining this parameter provides insights into the strength of the molecule-surface interaction and the stability of the adsorbed state.

Arrhenius Equation

The Arrhenius equation relates the rate constant of a reaction to temperature and activation energy through an exponential relationship. This fundamental relation is essential for predicting how reaction rates change with temperature, particularly for processes like desorption.

Pre-exponential Factor (?0)

The pre-exponential factor, often viewed as an attempt frequency or characteristic time scale, appears in the Arrhenius equation. It represents the frequency with which molecules attempt to overcome the energy barrier, playing a crucial role in determining the overall rate of desorption.

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