Use the concepts of the kinetic-molecular model to explain: (a) why the pressure of a gas in a rigid container increases as heat is added to the gas and (b) why the pressure of a gas increases as we compress it, even if we do not change its temperature.

Short Answer

Expert verified

Adding the heat to gas result in an increase of average kinetic energy which increases the average speed, resulting in an increase in pressure. On compression, due to smaller volume collision pressure on the walls increases.

Step by step solution

01

About kinetic molecular theory

According to the Kinetic Molecular Theory of gases, the molecules of the gas experience perfectly elastic collisions and are constantly in motion. The average kinetic energy of the particles of an ideal gas is dependent only on the absolute temperature of the gas.

02

Reason for increase in the  of a gas in a rigid container as the heat is added to the gas

Adding heat to gas results in anincreasein theaveragekinetic energy of each gas atom. thisincreasestheaveragespeed and hence momentum. Therefore, gas exerts a greater force on the walls of thecontainer.

Therefore, Adding the heat to gas results in an increase in average kinetic energy which increases the average speed

03

Reason for increase in the pressure of a gas by compressing it

Due to compression, the volume of the gas decreases, resulting in an increase in collision density and hence, collision pressure. Thus, the pressure is increased on compressing a gas.

Therefore, Due to the smaller volume collision pressure on the walls increases.

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