Question 2 The multivariable calculus exact differential property is significant in thermodynamic relations for development of Maxwell relations from fundamental functions. A) What are thermodynamic relations? [1 mark] B) Outline the importance of Maxwell relations [1 mark] C) Prove that the ideal gas Equation of State (EOS) expressed either as volumetric or pressure- explicit EOS satisfies the multivariable calculus cyclic relation [6 marks] D) Determine whether the function (w) is a thermodynamic property [4 marks] W =-- x E) For 1 phase, 1 component and closed system: Develop an expression for the constant entropy variation of temperature with pressure (@TIAP)s in terms of measurable properties [3 marks] ii) Using your answer in Q2 E () above, derive the expression (TTP)s for gas that obey the Equation of State (EOS): (5 marks] P(V - b) = RT