Question 1 The multivariable calculus exact differential property is significant in thermodynamic relations for development of Maxwell relations from fundamental functions. A) Define the following: , i) Thermodynamic relations [2 marks] ii) Thermodynamic fundamental functions [2 marks] B) What is the importance of Maxwell relations? [2 marks] C) Prove that the ideal gas Equation Of State (EOS) expressed either as volumetric or pressureexplicit EOS satisfies the multivariable calculus reciprocity relation [4 marks] D) The 1 1 L Law of thermodynamics for a closed PVT system (1 phase and 1 component) zx)g(xz)=1 undergoing a reversible process is given by: If the internal energy, U=U(T,V), Determine (by calculation) whether entropy is a state property [10 marks] Question 2 The Clapeyron equation is important in evaluating thermodynamic property change during phiase transition. Under justifiable assumptions the Clausius-Clapeyron is derived from the Clapeyron A) What is the use of the Clapeyron equation? hfy=TVg(StdP)set [2 marks] equation. B) What is the use of the Clausius-Clapeyron equation? [2 marks] D) The vapour pressures of Chloroform ( CHCl3 ) are 197mmHg at 23C, and 448mmHg at 45C. Calculate the normal boiling point of CHCl3[7 marks] [Data: Ro0=8.314kJ/kmolK] E) Calculate the specific internal energy of saturated water vapoui (ug) at 120C and 1.985 bars [6 marks] Data: Properties of water