Laws of thermodynamics: Definition of temperature and thermodynamic terms.

Explain the important laws of thermodynamics and their physical aspects.

isothermal expansion of a gas and change in entropy

One-gram molecule of a gas expands isothermally to four times its volume. Calculate the change in entropy in terms of the gas constant.

Laws of thermodynamics : Changes in internal energy.

The specific heat of air at constant volume is 0.175 cal/gm deg Celsius a) By how much does the internal energy of 5 gm of air change as it is heated from 20 deg to 400 deg? (b) Suppose that 5gm of air is adiabatically compressed so as to raise its temperature from 20deg to 400 deg. How much work must be done on the air to compress it?

Distribution of Velocities in a Gas (Maxwellian Distribution)

Show that the distribution of velocities in an ideal gas is Maxwellian. See attached file for full problem description.

On an infinite square lattice one places bonds on the edges of the lattice with probability 1/2. What is the probability that two nearest neighbor vertices are connected?

On an infinite square lattice one places bonds on the edges of the lattice with probability 1/2. What is the probability that two nearest neighbor vertices are connected?