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In Langmuir’s model of adsorption of a gas on a solid surface:a.The mass of gas striking a given area of surface is independent of the pressure of the gas.b.The amount of gas striking a given area is proportional to the pressure of the gas.c.The adsorption at a single site may involve multiple molecules at the same time.d.The rate of desorption does not depend on the surface covered.

Question

In Langmuir’s model of adsorption of a gas on a solid surface:a.The mass of gas striking a given area of surface is independent of the pressure of the gas.b.The amount of gas striking a given area is proportional to the pressure of the gas.c.The adsorption at a single site may involve multiple molecules at the same time.d.The rate of desorption does not depend on the surface covered.

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Solution

The Langmuir's model of adsorption of a gas on a solid surface makes several assumptions:

a. The mass of gas striking a given area of surface is independent of the pressure of the gas. This statement is incorrect. According to the kinetic theory of gases, the rate at which gas molecules collide with a surface (and thus the mass of gas striking the surface) is proportional to the pressure of the gas.

b. The amount of gas striking a given area is proportional to the pressure of the gas. This statement is correct. As mentioned above, the kinetic theory of gases states that the rate of collision of gas molecules with a surface is proportional to the pressure of the gas.

c. The adsorption at a single site may involve multiple molecules at the same time. This statement is incorrect. Langmuir's model assumes that adsorption occurs at specific, localized sites on the surface, and that each of these sites can accommodate only one adsorbed species at a time.

d. The rate of desorption does not depend on the surface covered. This statement is correct. According to Langmuir's model, the rate of desorption is independent of the surface coverage. It only depends on the fraction of the sites that are occupied.

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