Solved: Use the concepts of the kinetic-molecular model to

Chapter 18, Problem 12DQ

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QUESTION:

Problem 12DQ

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.

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QUESTION:

Problem 12DQ

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.

ANSWER:

Solutio 12DQ

Problem (a)

Step 1:

Increase in  temperature of a gas in a container will increase the average kinetic energy of the molecules. This will lead to the molecules exert greater velocity and collide the walls of the container with greater force and pressure gets increased.

Problem (b)

Step 1:

Keeping constant temperature will not change the speed of the gas molecules. But decrease in volume make the molecules to collide the walls frequently as compared to previous volume. Hence the collision rate will increase and pressure increase.

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