How Does Pressure and Temperature Affect the Chemical Potential of CH4?

[xxplosive1]

Homework Statement

Calculate the change of chemical potential of CH4 in a transformation from the initial
state using the ideal gas law. σi={pi=1atm, Ti=298.15K} to the final state σf={pf=100atm, Tf=400K}.

any ideas?

 

[PhaseShifter]

Since this appears to be a pure substance, let me rephrase the question another way:

What is delta G for the process of expanding one mole of methane from the initial state to the final state?