Compute and plot the chemical potential surface (T, P) for a monatomic ideal gas in the range 5 K < T < 1000 K and 10-5 atm < P < 10 atm. Assume the gas is helium with S298 = = 126.04 J/mol K. a. On the same graph sketch plausible surfaces for the chemical potential of the liquid and solid phases as functions of temperature and pressure b. Use these sketches to illustrate the construction of the phase diagram for a system that exhibits these three phases