EXERCISE 2.3. The entropy of n moles of a monatomic ideal gas is S=(5/2)nRnR in[(V/Vo) (no/n) (T/To)/2], where Vo, no, and To are constants (this is called the Sackur-Tetrode equation). The mechanical equation of state is PV = nRT.

(a) Compute the internal energy.

(b) Compute the chemical potential.

(c) Write the Fundamental Equation for an ideal monatomic ideal gas and show that it is a first-order homogeneous function of the extensive state variables.