20 % of surface sites are occupied by N2 molecules. The density of surface site is 6.023 ×10^14

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20 % of surface sites are occupied by N2 molecules. The...

$20 \%$ of surface sites are occupied by $\mathrm{N}_{2}$ molecules. The density of surface site is $6.023 \times 10^{14} \mathrm{~cm}^{-2}$ and total surface area is $1000 \mathrm{~cm}^{2}$. The catalyst is heated to $300 \mathrm{~K}$ while $\mathrm{N}_{2}$ is completely desorbed into a pressure of $0.001$ atm and volume of $2.46 \mathrm{~cm}^{3}$. Find the number of active sites occupied by each $\mathrm{N}_{2}$ molecule.

Key Concepts

Surface Site Density

This concept refers to the number of available sites per unit area on a surface where molecules can adsorb. It is used to calculate the total number of active sites by multiplying the density with the surface area, providing a foundation for understanding adsorption phenomena on catalysts.

Surface Coverage

Surface coverage describes the fraction or percentage of available active sites that have been occupied by adsorbates. It is a critical parameter in surface chemistry and catalysis because it quantifies the extent of adsorption relative to the total available sites.

Active Sites

Active sites are the specific regions on a catalyst where chemical reactions occur. Their occupancy by adsorbate molecules directly influences the catalyst's performance, making it vital to determine how many sites are utilized in a given reaction process.

Ideal Gas Law

The ideal gas law, expressed as PV = nRT, is a fundamental equation that relates a gas's pressure, volume, and temperature to its amount in moles. It is essential in converting measured gas parameters into the number of moles, which can then be used to determine the number of molecules desorbed from a surface.

Molar Quantity and Avogadro's Number

This concept involves converting the number of moles obtained from the ideal gas law into the actual number of molecules using Avogadro's number. It bridges the gap between macroscopic measurements and microscopic particle counts, crucial for understanding the stoichiometry of surface-adsorbed species.

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