Properties of Pure substances Air as a mixture of gases is pure. Water and its vapor in a tank is pure, but air and water vapor in the liquid form in a tank is not pure . Acetone 5 10 Acetone 250 3 225 2. 1 2. 9 3. 8 kJ /kg 3000 kPa -K 200 4 10 175 2. 8 T [°C] P [kPa] 150 3 180°C 3 10 3. 2 130°C 1100 kPa 125 100 300 kPa 100°C 3. 4 75°C 75 kJ /kg 2 10 -K 50 50 kPa 25 0.05 0.05 0.1 0.2 0 10-3 0.5 1 10 10-3 -2 10 -1 10 0 10-2 0.2 10-1 0.5 100 3 1 10 0.1 10 v [m /kg] 3 v [m /kg] Go to plots> property plot and select the fluid to plot any property in EES Critical point Saturated liquid line Saturated vapor line Quality line vapor X= quality= 𝑚𝑣 𝑚𝑣 +𝑚𝑙𝑖𝑞 = dryness fraction Liquid For liquid line x=0, for vapor line x=1 101 g 3/k 1 L+v T [°C] 150 Any two states are needed to describe the thermodynamic property: U(p,v), u(p,x) u(h,x) u(p,t) 2. 9 5m 3000 kPa 200 0. 3 4 0.0045 0. 1 1 0. 0 39 Acetone 250 1100 kPa L 100 But at the saturated liquid or vapor line Or inside the dome, P and T both can not be used to determine any property. Either P or T can be used along with some other variable, say, x V, s, h v 300 kPa 50 50 kPa 0.2 0.4 0.6 0.8 0 -50 1.0 1.5 2.0 2.5 3.0 s [kJ/kg-K] 3.5 4.0 Acetone 1200 1100 Default unit system: 140 kPa 1000 4200 kPa 30 kPa 4.69 kPa 900 0.85 kPa h [kJ/kg] v=volume(water, p=500[kpa], x=.8) v1=volume(steam, t=500[c], s=5.8[kj/kg-c]) 770 kPa 800 0.9 700 0.8 600 0.6 500 0.4 400 300 1.5 2.0 2.5 3.0 s [kJ/kg-K] 3.5 4.0 4.5 Go to > help > help index> thermo physical property to see the property library in EES Go to > help > help index> fluid property information to see various fluids for which you can get the property Real fluid and ideal gases If you write the name of the fluid as : ‘methane’ then it is treated as real fluid If you write that as: ‘ch4’ then it is treated as ideal gas Internal energy and enthalpy of an ideal gas is a function of temp only, so no other variable is needed if temp is specified. h=enthalpy(air, t=400) { t is sufficient to find h} h1=enthalpy(air, v=.2, s=4){ here two variables are needed since t is not given} Example problem-1 A vessel having a volume of .4m3 contains 2 kg of liquid water and water vapor mixture in equilibrium at a pressure of 600kpa. (a) Find the volume and mass of liquid , (b) volume and mass of vapor Example problem-2 A rigid vessels contains saturated ammonia vapor at 20C. Heat is transferred to the system until the temp reaches 40C. What is the pressure at this point. Example problem-3 A piston cylinder arrangement contains air at 250kpa, 300C. The 50kg piston has a dia of .1m and initially pushes against the stops. The atmosphere is at 100kpa, 20C. The cylinder now cools as heat is transferred to the ambient. (a) At what temp does the piston begin to move down, (b) How far has the piston dropped when the temp reaches ambient. pf=100+50*g#/area*convert(pa,kpa) area=pi*d^2/4; d=.1 v1_ac=area*.25; v1=volume(air,p=250,t=300) m1=v1_ac/v1 t2=temperature(air,p=pf,v=v1) { final temp of air for piston to come down} v2=v2_ac/m1 v2=volume(air,p=pf,t=20) h2=v2_ac/area; ht_fall=.25-h2 • The height of the stops above the bottom of cylinder is 0.25m