# Heat Capacity of a Gas

The heat capacity of a gas is given by Cp=a+bT where a and b are constants:

a) Determine delta S for heating the gas from T1 to T2 at constant P

b) Determine delta G for heating the gas from T1 to T2 at constant P

HINT: the integral lnx dx= x ln x-x

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Chemistry, Physical Chemistry

P Chem

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The heat capacity of a gas is given by Cp=a+bT where a and b are constants

a) determine delta S for heating the gas from T1 to T2 at constant P

b) ...

#### Solution Summary

This solution calculates change in S and change in G when heating the gas to higher temperatures with constant pressure. Solution is shown in step-by-step manner with all formulas shown.

Heat capacity of a 2d electron gas and of a 2d phonon gas.

What physical conditions lead electrons in a metal to form a degenerated Fermi gas? Show that the density of states for an ideal two-dimensional Fermi gas of particle with spin 1/2 and mass m that occupies area A is:

g(E)=(A/2pi)(2m/h^2)

Obtain a relationship between the number of electrons per unit area and the Fermi energy E_f at 0 K.

Show that the average electron energy for the two dimensional gas at 0 K is E_f/2.

Obtain the temperature dependence, at low temperatures, of the heat capacity of unit area of the Fermi gas. Explain why the magnitude of the heat capacity is much smaller than the value predicted for a classical two-dimensional gas. Obtain the temperature dependence, at low temperature of the contribution of the lattice vibrations to the heat capacity of a very thing film of a metal.

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