Molecular Physics | Thermodynamics Answers

A box of volume 1 cm³ contains 5.2×10²¹ electrons. Calculate their Fermi

momentum and Fermi energy. Take m_e=9.1*10^-28g ,m_n=1.67×10^-24g 1.67×10^-27 ergs.

For a Bose-Einstein system, the expression for the thermodynamic probability is

W=(3.14)((g_i+N_i-1)!/(N_i!(g_i-1)!))

Derive an expression for the Bose-Einstein distribution function.

Derive Clausius-Clapeyron equation. Explain why the boiling point of water

increases with increasing pressure.

Using Maxwell’s relations, deduce first and second TdS equations

Two separate containers are filled with different gases. If these gases are

allowed to mix, obtain an expression for entropy of mixing per mole of the

mixture.

Derive the expression for the efficiency of a Carnot cycle for an ideal gas. Hence,

obtain its value for a heat engine operating between fixed temperatures 600 K

and 300K.

Derive Planck’s law of black body radiation.

One mole of oxygen at 273 K and atmospheric pressure is adiabatically

compressed to 5 atm. Calculate the final temperature. Also calculate the work

done on the gas. Take gama = 1.4 and R = 8.31 J mol^-1 K^-1.

Air in an enclosure is compressed isothermally until its pressure is doubled. It is

then expanded adiabatically until its original volume is restored. Its pressure is

then recorded as 0.75 of its initial value. Determine the value of gama.

What is meant by internal energy of a system? State the first law of

thermodynamics in its differential form. Write it for isothermal, adiabatic and

isochoric changes, bita dp=alpa dT.