Question

The kinetic theory of gases predicts that total kinetic energy of a gaseous assembly depends on:
A.Pressure of the gas
B.Temperature of the gas
C.Volume of the gas
D.Pressure temperature and volume of the gas

Answer 1

Hint: Basically, the kinetic theory of gases explains the three macroscopic properties of a gas in terms of microscopic nature of atoms and molecules. Moreover, it is a theoretical model that further describes the molecular composition of the gas in terms of a large number of particles which include atoms and molecules.

Complete step by step answer:
Basically, the kinetic theory of gases helps us to determine the physical properties of gas in terms of three measurable macroscopic properties of pressure, volume and temperature. This theory also explains that the pressure of the gas arises due to the particles colliding with each other and the walls of the container.
Now, gases are made up of a large number of molecules and they are flying in a random direction with a certain speed. So, by knowing their speed or position, one can figure out the macroscopic properties. There were some assumptions of this theory, some of them are listed below.
1.The molecules do not interact with each other.
2.The momentum is conserved.
3.The kinetic energy will be conserved
4.The collision of molecules with themselves or the wall will be an elastic collision.
Now,
 $KE = \dfrac{3}{2}RT$
And we know that ideal gas equation is $PV = nRT$
So, $KE = \dfrac{3}{2}PV$
Therefore, the total kinetic energy will depend on temperature, pressure and volume of the gas.
Hence, option D is correct.

Note:No matter what gas you are considering (unless or until it is an ideal gas), you can easily figure out the average kinetic energy of a gas molecule if you know the temperature. Moreover, by knowing the macroscopic parameters of gases like pressure, volume, temperature etc. one can easily calculate the microscopic parameters like velocity, internal energy, kinetic energy and many more.