Question 1 A substance EOS and specific heat capacity at constant pressure relation are respectively given by: v=PRTT3CCP=A+BT where A, B and C are constants. Use the applicable thermodynamic general equation and the implicit function v=v(P,T), derive the expression for change in specific internal energy in an isobaric process from temperatures T1 to T2[10 marks] QUESTION 2 Derive the Maxwell relations for non-reacting single component and phase open system extensive variables of the implicit function G=G(T,P,N) [10 marks] QUESTION 3 The total derivatives of implicit functions vv(T,P) and P=P(T,v) define important thermodynamic properties of substances. A) A mass of saturated liquid water at 99.63C and 1 bar fills a container. Heat is added to the water until its temperature reaches 120C. If the volume of the container does not change, calculate the final pressure [7 marks] [Data: Water properties @ 99.63C and 1 bar. =6.7104/C;Kr=1.85104/kPa ] B) Liquid ethanol is continuous isothermally pumped from 20C and 1 bar to 1000 bars. Calculate the minimum required: i) Heat that must be removed to maintain the temperature constant [5 marks] ii) Pump work [8 marks] [Data: Liquid ethanol properties @ 20C and 1 bar. v=58.40cm3/mol;=11.2104/K; KT=109106/bar] Question 1 A substance EOS and specific heat capacity at constant pressure relation are respectively given by: v=PRTT3CCP=A+BT where A, B and C are constants. Use the applicable thermodynamic general equation and the implicit function v=v(P,T), derive the expression for change in specific internal energy in an isobaric process from temperatures T1 to T2[10 marks] QUESTION 2 Derive the Maxwell relations for non-reacting single component and phase open system extensive variables of the implicit function G=G(T,P,N) [10 marks] QUESTION 3 The total derivatives of implicit functions vv(T,P) and P=P(T,v) define important thermodynamic properties of substances. A) A mass of saturated liquid water at 99.63C and 1 bar fills a container. Heat is added to the water until its temperature reaches 120C. If the volume of the container does not change, calculate the final pressure [7 marks] [Data: Water properties @ 99.63C and 1 bar. =6.7104/C;Kr=1.85104/kPa ] B) Liquid ethanol is continuous isothermally pumped from 20C and 1 bar to 1000 bars. Calculate the minimum required: i) Heat that must be removed to maintain the temperature constant [5 marks] ii) Pump work [8 marks] [Data: Liquid ethanol properties @ 20C and 1 bar. v=58.40cm3/mol;=11.2104/K; KT=109106/bar]