6) A scientist wants to study the properties of a certain equilibrium solid substance for various values of the temperature T, volume V, and chemical potential µ by placing the substance in a large reservoir for which these three parameters are held constant during a given experiment. Find an appropriate thermodynamic potential K(T,µ,V) for this experimental a) setup. к -0-TS Write the total differential for free energy K and reduce it to a form that only depends on the changes in the three independent variables. b) for this system in terms of K. Show how to calculate the entropy S, pressure P, and the number of particles N

6) A scientist wants to study the properties of a certain equilibrium solid substance for various values of the temperature T, volume V, and chemical potential µ by placing the substance in a large reservoir for which these three parameters are held constant during a given experiment. Find an appropriate thermodynamic potential K(T,µ,V) for this experimental a) setup. к -0-TS Write the total differential for free energy K and reduce it to a form that only depends on the changes in the three independent variables. b) for this system in terms of K. Show how to calculate the entropy S, pressure P, and the number of particles N