Molecular Physics | Thermodynamics Answers

Define mean free path of a molecules in a gas. Derive the law of distribution of free path.

Establishe vender waal's equation of state for a real gas .Plot vender wall's equation of state on P-V diagram.

The mean speed of oxygen molecules is 450 ms-1. If the radius of an oxygen molecule is 1.8 Å, calculate mean time between two successive collisions and mean free path. Take .m103325

5. a) Explain the following:

i) Bose-Einstein condensation.
ii) Gibbs paradox.

Establish van der Waals’ equation of state for a real gas. Plot van der Waals’
equation of state on p-V diagram.

List the differences between first and second order phase transitions. What are the
characteristics of lambda transition?

Using Maxwell’s relations, derive the first and second energy equations

3. a) i) Draw a Carnot cycle on p-V diagram. Show that the amount of heat absorbed

(rejected) in a reversible cycle is proportional to the temperature of source (sink).

Using the first law of thermodynamics for an adiabatic process, establish the relation
PV γ = K , where γ is the ratio of heat capacity at constant pressure to that at constant
volume. Plot this equation on a p-V diagram. What will be its slope?

b) Derive an expression for the work done by a gaseous system for an isothermal
expansion of an ideal gas.