Write out the assumptions for kinetic theory of ideal gases in your own words.

A gas is enclosed inside a cylinder that is fitted with a freely moving piston. The gas is initially in equilibrium with a volume $V_1$ and a pressure $p$. The gas is then cooled slowly. The piston moves into the cylinder until the volume of the gas is reduced to $V_2$ and the pressure remains at $p$. What is the work done on the gas during this cooling?

Relate workdone and energy for an ideal gas is made to expand slowly at a constant temperature. 

(a) State how many atoms there are in:

(i) A mole of helium gas (a molecule of helium has one atom)

(a) State how many atoms there are in:

(ii) A mole of chlorine gas (a molecule of chlorine has two atoms)

 State how many atoms there are in one kilo moles of neon gas (a molecule of neon has one atom).

A container holds four moles of carbon dioxide of molecular formula ${\mathrm{CO}}_2$ Calculate the number of carbon dioxide molecules there are in the container.