Chapter 24, Problem 35A

What happens to the gas pressure within a sealed gallon can when it is heated? When it is cooled?

To determine

To explain: The change in pressure of gas in a sealed gallon when the gallon is heated and cooled.

Explanation of Solution

Introduction:

A body is cold or hot is express by the physical term temperature. If the temperature of body is greater than the temperature of surrounding then the body is called hot and if the temperature of body is less than the temperature of the surrounding then the body is called hot. The temperature of a body depends on the various physical parameters like heat, pressure and kinetic energy of molecules.

The ideal gas equation:

  $PV = nRT$

Where,

  $P=$ Pressure

  $V=$ Volume

  $T=$ Temperature

  $R=$ Gas constant

  $n=$ No of moles

By the ideal gas equation, the pressure of the gas is directly proportional to the temperature of the gas if the volume remains constant. In a sealed gallon, the volume remains constant and when it is heated then the temperature of gas increase so the pressure of gas will increases. Similarly, when the gallon is cooled the temperature of gas will decrease so the pressure will decreases.

Conclusion:

Hence, the pressure of gas increases when gallon is heated and decreases when it is cooled.