Show that the equation:
μ (T, P) = μ° (T) + kT ln (P/P°)
is in agreement with the explicit formula for the chemical potential for a monatomic ideal gas. Show how to calculate μ° for a monatomic ideal gas.© BrainMass Inc. brainmass.com June 3, 2020, 7:38 pm ad1c9bdddf
In thermodynamics, everything can be derived from the Omega function that gives you the number of microstates compatible with a macrostate.
The derivatives of Log(Omega) w.r.t. the energy defines the temperature parameter:
beta = dLog(Omega)/dU (1)
The temperature is defined in terms of beta by:
beta = 1/(kT)
The derivative in (1) is at constant volume and constant number of particles.
If we differentiate w.r.t. ...
A detailed solution is given. The expert examines chemical potential as a function of pressure.