Chapter 12: Problem 70

Explain in terms of the kinetic-molecular theory why increasing the temperature of a gas at constant volume increases the pressure of the gas.

Short Answer

Expert verified

According to the kinetic-molecular theory, increasing the temperature of a gas increases the kinetic energy of its particles which in turn, increases their speeds. The gas particles collide more frequently and forcefully with the container walls, resulting in an increased pressure.

Step by step solution

Recall the principles of kinetic-molecular theory

One of the key principles of the kinetic-molecular theory is that the kinetic energy of gas particles increases with an increase in temperature, i.e., as the temperature increases, the speed of the gas particles also increases.

Understand the concept of pressure

Pressure is defined as force per unit area. In terms of a gas contained in a container, it can be thought of as the sum of the collision forces exerted by the gas molecules on the walls of the container.

Relate kinetic energy and pressure

With an increase in temperature, the kinetic energy and hence the speeds of the gas particles increase. This increased speed translates to more frequent and forceful collisions with the walls of the container, thereby increasing the pressure of the gas.

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Explain in terms of the kinetic-molecular theory why increasing the temperature of a gas at constant volume increases the pressure of the gas.

Short Answer

Step by step solution

Recall the principles of kinetic-molecular theory

Understand the concept of pressure

Relate kinetic energy and pressure

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