Kinetic theory of gases

The pressure of an ideal gas in a vessel is p. The gas is heated at constant volume until the r.m.s. speed of the gas molecules is doubled. what is the new pressure of the gas?

• √2p

• 2p

• 3p

• 4p

Which of the following is not an assumption of the kinetic theory of gases?

• Gas molecules move with the same speed, known as the r.m.s. speed

• Gas molecules are in constant free random motion

• Collisions between gas molecules are perfectly elastic

• The size of a gas molecule is negligible compared to the distance between gas molecules

Which of the following statements DOES NOT represent the ideal gas law ?

• Pressure is directly proportional to the absolute temperature.

• Pressure is inversely proportional to volume

• Volume is directly proportional to the absolute temperature.

• Volume is directly proportional to pressure.

The following statements are assumptions of the kinetic theory of gases EXCEPT

• All gases are made up of identical atoms or molecules.

• The intermolecular forces are negligible except during collisions.

• The molecules undergoes inelastic collisions with one another.

• The volume of the atoms or molecules is negligible when compared to the volume occupied by the gas.

Root mean squared (r.m.s) speed of a gas molecules is directly proportional to _____________ and inversely proportional to ______________.

• molar mass ; temperature

• temperature ; molar mass

• temperature ; pressure

• pressure ; temperature

One mole of any gas at Standard Temperature and Pressure (STP) occupies volume of

• $22.4km^3$

• $22.4cm^3$

• $22.4mm^3$

• $22.4dm^3$

What about gases can be measured?

• Pressure and Volume
• Temperature, Volume, and Pressure
• Volume and Temperature
• Pressure, Temperature, Volume, and Moles

The internal energy of an ideal gas depends on

• absolute temperature

• pressure

• volume

• degree of freedom

The degree of freedom for a diatomic molecule is

• 2

• 3

• 5

• 6

For a gas, which pair of variables are inversely proportional to each other (if all other conditions remain constant)?

• P, T

• P, V

• V, T

• n, P