Question

monatomic molecules adsorbed on a surface are free to move on this surface and can be treated as a classical ideal two dimensional gas .At absolute temperature T.What is the heat capacity per mole of molecules thus adsorbed on a surface of fixed size?

Answer 1

The heat capacity per mole of monatomic molecules adsorbed on a surface of fixed size can be calculated using the formula Cp = dR/2 + R, where Cp is the molar heat capacity at constant pressure, d is the number of degrees of freedom of each molecule, and R is the molar gas constant.

Step-by-step explanation:

The heat capacity per mole of monatomic molecules adsorbed on a surface of fixed size can be calculated using the formula Cp = dR/2 + R, where Cp is the molar heat capacity at constant pressure, d is the number of degrees of freedom of each molecule, and R is the molar gas constant.

Since the monatomic molecules on the surface can be treated as a classical ideal two-dimensional gas, we can consider each molecule to have two degrees of freedom, corresponding to its translational motions in the x and y directions.

Therefore, the heat capacity per mole of molecules adsorbed on the surface can be represented as

Cp = (2 * R)/2 + R, which simplifies to Cp = 3R/2.