In Problem 17.19, we found that at 1 bar and 298 K 1.074 ×10^28 molecules of molecular hydrogen

step 1 The planar density for a face -centered cubic structure is defined as 2 divided by A -cubed, and

In Problem 17.19, we found that at 1 bar and 298 K 1.074...

In Problem $17.19,$ we found that at 1 bar and $298 \mathrm{K}$ $1.074 \times 10^{28}$ molecules of molecular hydrogen strike a surface per square meter per second. When the 100 plane of metallic copper is exposed to molecular hydrogen under these conditions, what is the rate of collisions with atoms of copper? Copper forms face-centered cubic crystals with the length of the side of the unit cell equal to $361 \mathrm{pm}$

Key Concepts

Molecular Flux

Molecular flux is a concept from kinetic theory that refers to the number of gas molecules striking a unit area of a surface per unit time. It is used to quantify how frequently gas molecules collide with a surface under given conditions of pressure and temperature, and is central in gas-surface interaction studies.

Crystalline Surface Structure

The crystalline surface structure, especially for metals like copper, involves understanding how atoms are arranged on a given crystallographic plane. This concept is important because the actual collision sites available to incident molecules depend on the geometric arrangement of atoms in the crystal lattice.

Surface Atomic Density

Surface atomic density describes the number of atoms per unit area present on a given crystallographic face of a crystal. It is computed using the unit cell dimensions and the crystal structure (for example, face-centered cubic), which is crucial when determining the fraction of the surface area that presents actual atomic collision sites.

Collision Rate Calculation

The collision rate calculation combines the molecular flux with the surface atomic density to estimate the rate at which gas molecules collide with individual surface atoms. This approach integrates kinetic theory with crystallographic data to provide a more detailed understanding of gas-solid interactions.

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