Derive equations and for entropy and chemical potential of

Step 1 of 3

Use the equation 6.90 and the Helmholtz free energy of the ideal gas system.

Here is the internal contribution to Helmholtz free energy of the ideal gas system,  is the number of molecules in the ideal gas,  is the Boltzmann’s constant,  is the temperature of the ideal gas,  is the volume of the ideal gas system, and  is the quantum volume.

The quantum volume of the system is given by,

Here  is the planck’s constant and  is the mass of the molecules of the ideal gas.