TH10Ch03 - Thermodynamic Properties are Measurements p,T,v,...

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Thermodynamic Properties are Measurements p,T,v, u ,h,s - measure directly -measure by change Tables Curve fits Tables Correlation's, Boyles Law Tables pv=c@T=c limited hand calculations Equations of State, pv=RT Tables Calculation Modules NIST, EES, HYSYM interactive, callable Property Data v T T p v s =
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P=1 atm Q liquid vapor
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sat sat sat sat Given T and P Super Heat Region if, p<p @T T>T @p Compressed Liquid Region if, p>p @ T T<T @ p
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STEAM PRESUE AND TEMPERATURE TABLES
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f f f s u h Saturated Liquid Line g g g s u h Saturated Vapor Line T f v g v
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Three Tables Temperature Table at spaced T’s Pressure Table at spaced P’s Superheat Table at spaced T and P 6 Properties Temperature Pressure Volume Internal Energy Enthalpy Entropy
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Solid-Liquid-Gas Phase Diagram
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Saturation liquid internal energy at 0 C 0. Table Base Saturated liquid enthalpy at 25 C 104.89 kJ/kg Saturated vapor entropy at 25 C 8.558 kJ/kg K Enthalpy at 20 C, 300 kPa assume saturated liquid enthalpy at 20 C 83.96 kJ/kg Temperature of saturated vapor with an internal energy of 2396.1 kJ/kg 15 C Enthalpy of vaporization at 10 C 2477.7 kJ/kg
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Table A-4 Metric, T Table A-5 Metric, p Table A-4E English, T Table A-5E English, p TEMPERATURE TABLE PRESSURE TABLE Table A-6, Metric, T,p Table A-6E, English, T,p SUPERHEAT TABLE Table A-7 Metric T,p Table A-7E English T,p
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kPa 8587.9 C 300 @ p C 195.04 kpa 1400 @ T C 300 and kpa 1400 at water saturation saturation = = kpa 362.23 C 6 @ p C 15.71 kpa 500 @ T C 6 and kPa 500 at 134a R saturation saturation = = C 195.04 kpa 1400 kPa 8587.9 C 300 superheated T p=constant T C 6 kpa 362.23 kPa 500 C 15.71 subcooled p=constant v v
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Two Phase Real Gas Properties () fg f fg f g f g g g f f g f v v v x v x v v xv v x 1 v Quality m m x v m v m mv V V V = × + = + = = + = + = f v g v fg f fg f fg f v x v v u x u u h x h h × + = × + = × + =
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/lb. ft 300 v F, 90 at water of properties the Find 3 o = F 90 T o lb / ft 7 . 467 v 3 g = f f f u=58 .07 h=58 s =.11165 g g g u =1040.2 h =1107.7 s =2.0083 s h u () v v f ( ) f g v v /lb ft 300. v 3 = lb / ft 0161 . v 3 f = f gf ff g g g g o vv Quality, x 300 .0161 x .64 (64%) 467.7 .0161 uu x( u u ) uu xu u 58.07 .64 982.2 u6 8 6 . 7 B T U / l b hh xh h 58.07 .64 1042.7 h7 2 5 . 4 B T U / l b ss xs s .11165 .64 1.8966 s 1.3254 BTU/lb R = == =+× − =+× =+ × = × = × = Temperature Table
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Engineering Equation Solver - EES Fluid Property Information - 69 fluids available Thermophysical Functions - 25 properties calculated Equations Window h=enthalpy(steam, T=200.,P=200) superheated vapor h=enthalpy(steam,T=200.,X=1) saturated vapor u=intenergy(steam,T=200.,X=0.) saturated liquid p=pressure(steam,T=200.,X=0.) saturation pressure Thermophysical Functions entropy intenergy pressure quality density enthalpy isidealgas temperature volume Function Arguments H specific enthalpy P pressure S specific entropy T temperature U specific internal energy V specific volume X quality
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EES FLUIDS FUNCTIONS
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Table EES Program 2414.29 u 1.) X 4., P steam, intenergy( u 121.3kJ/kg u 0) X 4., P steam, intenergy( u g g l l = = = = = = = = g 2415.2kJ/k u g 121.45kJ/k u l = = g Pressure Table Saturation internal energy at 4 kPa Superheat Table /kg .001004m v 500.) p 30., T am, volume(ste v g 125.67kJ/k h 500.) p 30., T team, enthalpy(s h 3 l l l l = = = = = = = = /kg .001004m v C liquid@30