Physical Chemistry Material Equilibrium Application of Maxwell Relations Example 1: Prove that the internal energy of ideal gas is a function of temperature only Answers. du=tds-Pdr O S b For ideal gas PV=nRT P=nRT aP nR aT aU aP nR P P=0 aTApplication of Maxwell Relations V nRT PV = nRT P = Physical Chemistry Material Equilibrium Example 1: Prove that the internal energy of ideal gas is a function of temperature only. Answers. For ideal gas V nR T P V  =        P T P T V U T V  −         =        P V nR = T − = 0 dU =TdS −PdVP V S T V U T T  −         =        T T V P V S        =         