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SCHOOL OF ENGINEERING & PHYSICAL SCIENCES Chemical Engineering B49CD Separation Processes B Semester 2 – 2021/2022 April/May 2022 Duration: 2 hours Instructions to Candidates: Attempt ALL questions. Candidates are expected to make reasonable assumptions where necessary and ensure these are clearly stated. You need to explain your working fully as credit is given for method as well as for numerical accuracy. Where a distribution of marks within a question is shown, this should not be taken to be definitive but is for guidance only. A document containing the Chemical Engineering Steam Tables and a High Temperature Psychrometric Chart will be provided. Use these if required. B49CD Attempt ALL questions. 1. An evaporator is to produce 35 % solids concentrated orange juice. The juice is fed at a temperature of 20 ºC, a rate of 20000 kg hr-1 and a concentration of 11 % solids. The single effect is operated at a pressure of 0.3 bar absolute. Steam is supplied at a pressure of 1.5 bar gauge and costs £0.037 per kg. Evaporator effects are available at a cost of £50,000 each. (a) Draw a single effect evaporator labelling all streams clearly. (2 marks) (b) Draw a double effect forward fed evaporator labelling all streams clearly. (3 marks) (c) If the evaporator is to run for 8000 hours per year for 20 years, should a double effect, forward fed evaporator replace the single effect? (Hint: You will need to calculate the steam required for both evaporator arrangements which will involve both mass and heat balances.) (35 marks) Pressure in the first effect will be the same as for the single effect evaporator. The pressure in the second effect is 0.07 bar absolute. The single effect and double effect evaporator are to produce identical final concentrate streams. The overall heat transfer coefficient for the second effect, U2 is 3000 W m-2 K-1 and the heat exchanger area for this effect A2 = 50 m2. The specific heat of the juice can be assumed to be 3.98 kJ kg-1 K-1, neglect any boiling point rise or heats of solution. Show all working. Excel spreadsheets, Mathcad sheets or similar will not be marked. Properties of steam if required must be obtained from the steam tables provided (note the online calculator ones some students used last year were incorrect). Page 2 of 4 B49CD 2. 6500 kg hr-1 wet solid with 10 wt% moisture (dry basis) is dried using a two-stage dryer as shown in the diagram below. The moisture content of the interim dried solid (S2) is 5 wt % (dry basis). Hot air (G1) with a temperature of 355 K and humidity 0.01 kg kg-1 enters the first dryer. The humid air leaving the first dryer (G2) is heated to a temperature of 335 K (G3) with no change in humidity. Both dryers operate adiabatically where the solid is at its respective wet-bulb temperatures with the air. The whole system is maintained at constant atmospheric pressure. Assume NTU = 1.5, and no heat of mixing or heat loss. (a) Calculate the temperature (in °C) of the gas stream (G2) leaving the first dryer. (5 marks) (b) Determine the dry gas flowrate (in kg hr-1). (10 marks) (c) Calculate the flowrate (in kg hr-1) of the humid air (G2) leaving the first dryer. (6 marks) (d) Calculate the moisture content (dry basis) in the final dried solid (S3). (10 marks) (e) Discuss the advantages and disadvantages of continuous co-current and counter-current rotary dryers. (4 marks) Page 3 of 4 B49CD 3. (a) For settling of a single particle, determine the terminal settling velocity starting from a force balance assuming the particle is a rigid sphere and moving under Stoke’s regime. Provide assumption(s) and diagram as necessary. (10 marks) (b) A sphere of density 3,300 kg m-3 falls freely under gravity in a fluid of density 980 kg m-3 and viscosity 0.66 x 10-3 Pa.s. Given that the terminal velocity of the sphere is 0.18 m s-1, calculate the particle’s diameter in mm. (5 marks) (c) What would be the length of the edge of a cube (in mm) of the same material falling in the same fluid at the same terminal velocity? (Hint: Standard drag curve is needed – see Figure 1 attached to this paper.) (5 marks) (d) Describe why the arrangement of particles in a packed bed is highly important in describing the characteristics and behaviour of the system. (5 marks) END OF PAPER Page 4 of 4 Figure 1: The standard drag curve that is needed for Q3. EPS Chemical Engineering, Heriot-Watt University SI Unit Conversion Sheet Common Dimensionless Groups En SI UNITS FOR CHEMICAL AND PETROLEUM ENGINEERS Euler number Quantity Length Mass Time Temperature Amount of substance Electrical current Luminous intensity Quantity Force Work, energy, heat Power Electrical charge Electrical potential Electrical capacitance Electrical resistance Frequency Magnetic flux Magnetic flux density Inductance Pressure Factor 10-12 10-9 10-6 10-3 10-1 name pico nano micro milli deci Density Viscosity (18°C) Specific heat capacity Thermal conductivity Latent heat (1 atm) Prandtl number (20°C) The Basic SI Units Name metre kilogram second Kelvin mole ampere candela Note: “kilo” is in small “k”. K stands for Kelvin Derived Units Name newton joule watt coulomb volt farad ohm hertz Weber tesla henry pascal Prefixes for Unit Multiples symbol factor p 10 n 102 103 m 106 d 109 Approximate Physical Properties Water 103 kg/m3 Density at 20°C, 101.325kPa -3 2 10 Ns/m Viscosity at s.t.p. 4.186 kJ/kg-K Specific heat capacity 0.6 W/m-K Thermal conductivity 2.2567 MJ/kg 7 Prandtl number Symbol m kg s K mol A cd Symbol N = kgm/s2 J = Nm W = J/s C = As V = W/A F = As/V V/A Hz = s-1 Wb = Vs T=Wb/m2 H = Vs/A Pa = N/m2 name deca hecto kilo mega Giga symbol da h k M G Air 1.204 kg/m3 1.78x10-5 Ns/m2 1x103 J/kg-K 0.024 W/m-K 0.7 Some Common Physical Constants Avogadro’s Number NA=6.023x1026 kmol-1 Gravitational Acceleration g=9.807 m/s2 Ideal gas constant R=8314 J/kmol-K (the same as 8.314 kJ/kmol-K) Stefan-Boltzman constant = 5.6697x10-8 W/m2-K4 Volume of 1 kmol of an ideal gas at s.t.p. 22.4 m3 Standard temperature and pressure (s.t.p) 101.3 kN/m2, 273.15 K Revised 16 December 2019 P u 2 Froude number Fr u2 gl Grashof number Gr L3 gT 2 / 2 Nusselt number Nu hd / k Reynolds number Re Peclet number for heat transfer Peclet number for mass transfer Prandtl number Pe Pe Pr ud / Re.Pr Re.Sc Cp / k Schmidt number Sc D Sherwood number Sh Stanton number for heat transfer Stanton number for mass transfer j factor for heat transfer j factor for mass transfer St St jh jd h dd / D Nu/(RePr) Sh/(ReSc) StPr0.67 StSc0.67 Cp = g= h= hd or kc= k= d or l = P= u= U= T = D= = Common symbols Specific heat capacity at constant pressure (J/kg-K) Acceleration due to gravity (m/s2) = 9.81 m/s2 Film heat transfer coefficient (W/m2-K) Film mass transfer coefficient (m/s) Thermal conductivity (W/m-K) Characteristic size (diameter or length) Pressure (N/m2) Velocity (m/s) Overall heat transfer coefficient (W/m2-K) Temperature difference (T2-T1) Diffusivity (m2/s) Viscosity (kg/ms) = Density (kg/m3) C Cl Cu F Atomic Weights of Common Elements and names of Common Compounds Carbon 12 He Helium 4 I Iodine 127 Chlorine 35.5 N Nitrogen 14 O Oxygen 16 Copper 63 Na Sodium 23 S Sulphur 32 Fluorine 19 O2 N2 H2 NaCl Oxygen Nitrogen Hydrogen Salt HNO3 H2SO4 NaOH Nitric Acid Sulphuric Acid Caustic Soda CH4 C2H6 CH3OH Methane Ethane Methanol Prof. G.White EPS Chemical Engineering, Heriot-Watt University TIME LENGTH 1 1 CONVERSION FACTORS min hr SI Unit Conversion Sheet 60 3600 s s 1 1 1 1 1 1 in ft yd mile micron angstrom 25.4 0.3048 0.9144 1.6093 10-6 10-10 mm m m km m m AREA 1 1 1 in2 ft2 acre 645.16 0.092903 4046.856 mm2 m2 m2 VOLUME 1 1 1 1 1 1 1 1 1 1 in3 ft3 UK gal US gal litre cm3 barrel acre-ft UK barrel US barrel 16.387 0.02832 4546.1 3785.4 10-3 10-6 0.15899 1233.4818 34.9723 42 cm3 m3 cm3 cm3 m3 m3 m3 m3 UK gal US gal MASS 1 1 1 1 1 1 oz lb ton short ton tonne grain 28.352 0.45395 1016.06 907.18 1000 0.0648 g kg kg kg kg g TEMPERATURE (SINGLE READING) o F C R K = oC x 1.8 + 32 = (oF – 32) / 1.8 = oF + 459.7 = oC + 273.15 TEMPERATURE DIFFERENCE 1 °F or °R 1/1.8 °C or K VELOCITY 1 1 ft/s mile/hr 0.3048 0.44704 m/s m/s ACCELERATION 1 ft/s2 0.3048 m/s2 FORCE 1 1 1 1 pdl lbf kgf dyn 0.13826 4.4482 9.8067 10-5 N N N N 1 1 1 1 1 1 1 1 1 1 ft – lbf ft –pdl cal erg Btu Chu kWhr therm tonne oil equivalent ft3 natural gas equ (wet) 1.3558 0.04214 4.1868 10-7 1.05506 1.8991 3.6 105.51 11630 1025 J J J J kJ kJ MJ MJ kWhr Btu SPECIFIC ENTHALPY (LATENT HEAT etc) 1 1 Btu/lb kcal/kg 2.326 4.1868 kJ/kg kJ/kg SPECIFIC HEAT CAPACITY 1 Btu/lb- oF 4.1868 kJ/kg-K o o ENERGY, WORK, HEAT Revised 16 December 2019 SPECIFIC ENTROPY 1 cal/g-oC 3 4.1868 kJ/kg-K CALORIFIC VALUE 1 1 Btu/ft Btu/lb 37.25 9 2.326 kJ/m3 kJ/kg VOLUMETRIC FLOW 1 1 1 1 ft3/s ft3/h UK gal/h US gal/h 0.028316 7.8658 1.2628 1.0515 m3/s cm3/s cm3/s cm3/s MASS FLOW 1 1 lb/h ton/h 0.12600 0.28224 g/s kg/s DENSITY 1 1 1 1 1 lb/in3 lb/ft3 lb/UK gal lb/US gal g/cm3 27.680 16.019 99.776 119.83 1000 g/cm3 kg/m3 kg/m3 kg/m3 kg/m3 MOLAR MASS (MOLECULAR WEIGHT) 1 1 lb/lbmol g/gmol 1 1 kg/kmol kg/kmol MOLAR VOLUME 1 1 ft3/lbmol l/gmol 0.06243 1 m3/kmol m/kmol MOMENT OF INERTIA MOMENTUM PRESSURE 1 1 1 1 1 1 1 1 1 1 1 1 lb – ft2 lb – ft/s lb/in2 (psi) lb/ft2 dyn/cm2 atm (standard) bar kg/cm2 (1 at) ft water in water in Hg mm Hg (1 torr) 0.042140 0.13826 6.8948 47.880 0.1 101.325 100 98.0665 2.9891 249.09 3.3864 133.32 kg – m2 kg – m/s kN/m2 N/m2 N/m2 kN/m2 kN/m2 kN/m2 kN/m2 N/m2 kN/m2 N/m2 POWER, HEAT FLOW 1 1 1 1 1 1 1 hp (British) erg/s ft – lbf /s Btu/h Chu/h kcal/h ton of refrigeration 745.70 10-7 1.3558 0.29307 0.5275 1.16306 3516.9 W W W W W W W DYNAMIC VISCOSITY 1 1 1 P (poise = 1 g cm-s) lb/ft – h lb / ft – s 0.1 0.41338 1.4882 N – s/m2 mN – s/m2 N – s/m2 KINEMATIC VISCOSITY 1 1 S (stokes = 1 cm2/s) ft2 / h 10 –4 0.25806 m2 / s cm2 / s SURFACE ENERGY SURFACE TENSION 1 dyn/cm (= 1 erg/cm2) 10-3 J / m2 THERMAL CONDUCTIVITY 1 1 Btu/hr-ft-°F Kcal/hr-m-°C 1.7307 1.163 W/m-K W/m-K HEAT TRANSFER COEFFICENT MASS TRANSFER COEFFICIENT 1 Btu/hr-ft2-°F 5.6783 W/m2-K 1 ft/sec 0.3048 m/s Prof. G.White Steam Tables Thermodynamic Properties of Water and Steam Charts and Tables for Other Fluids Saturated Water and Steam: Temperatures from the Triple Point to 100deg C Pressures from the Triple Point to 100kPa Pressures from 100 to 3,000kPa Pressures from 3,000kPa to Critical Point Specific Enthalpy of Water and Steam Specific Entropy of Water and Steam Density of Water and Steam Specific Internal Energy of Water and Steam Enthalpy-Entropy diagram for Steam Pressure-Enthalpy diagram for Steam 2 3 4 5 6 7 8 9 10 11 Properties of R-12, CCl2F2 Properties of Ammonia, NH3 Pressure-Enthalpy diagram for Ammonia, NH3 Pressure-Enthalpy diagram for Butane, C4H10 Pressure-Enthalpy diagram for Carbon Dioxide, CO2 Pressure-Enthalpy diagram for Methane, CH4 Pressure-Enthalpy diagram for Propane, C3H8 Pressure-Enthalpy diagram for Refrigerant R-410A Psychrometric Chart 12 13 14 15 16 17 18 19 20 Saturated Water and Steam Temperatures from the Triple Point to 100deg C Temp ºC Specific volume m³/kg Water Steam vf vg Specific internal energy Specific entropy kJ/kg.K Water Steam sf sg Temp ºC t Pressure kPa p 0.01 2 4 6 8 0.610 0.704 0.812 0.933 1.070 0.001000 0.001000 0.001000 0.001000 0.001000 206.5 180.2 157.5 138.0 121.1 0.0 8.4 16.8 25.2 33.6 2375.3 2378.1 2380.9 2383.6 2386.4 0.0 8.4 16.8 25.2 33.6 2501.4 2496.7 2491.9 2487.2 2482.5 2501.4 2505.0 2508.7 2512.4 2516.1 0.000 0.030 0.061 0.091 0.121 9.157 9.104 9.052 9.001 8.951 0.01 2 4 6 8 10 12 14 16 18 1.225 1.399 1.595 1.814 2.060 0.001000 0.001001 0.001001 0.001001 0.001001 106.6 94.0 83.0 73.5 65.2 42.0 50.4 58.8 67.2 75.6 2389.2 2391.9 2394.7 2397.4 2400.2 42.0 50.4 58.8 67.2 75.6 2477.8 2473.0 2468.3 2463.6 2458.9 2519.7 2523.4 2527.1 2530.8 2534.4 0.151 0.181 0.210 0.239 0.268 8.902 8.853 8.806 8.759 8.713 10 12 14 16 18 20 22 24 25 26 28 2.334 2.639 2.979 3.162 3.356 3.774 0.001002 0.001002 0.001003 0.001003 0.001003 0.001004 57.9 51.6 46.0 43.5 41.1 36.8 83.9 92.3 100.7 104.9 109.0 117.4 2402.9 2405.7 2408.4 2409.8 2411.1 2413.9 83.9 92.3 100.7 104.9 109.0 117.4 2454.1 2449.4 2444.7 2442.3 2439.9 2435.2 2538.1 2541.7 2545.4 2547.2 2549.0 2552.6 0.297 0.325 0.353 0.367 0.381 0.409 8.668 8.624 8.580 8.559 8.538 8.496 20 22 24 25 26 28 30 32 34 36 38 4.237 4.748 5.312 5.934 6.617 0.001004 0.001005 0.001006 0.001006 0.001007 33.0 29.6 26.6 24.0 21.7 125.8 134.1 142.5 150.8 159.2 2416.6 2419.3 2422.0 2424.7 2427.4 125.8 134.1 142.5 150.8 159.2 2430.5 2425.7 2421.0 2416.3 2411.5 2556.3 2559.9 2563.5 2567.1 2570.7 0.437 0.464 0.492 0.519 0.546 8.454 8.414 8.374 8.335 8.296 30 32 34 36 38 40 42 44 46 48 7.367 8.190 9.091 10.075 11.151 0.001008 0.001009 0.001009 0.001010 0.001011 19.6 17.7 16.1 14.6 13.2 167.5 175.9 184.2 192.6 200.9 2430.1 2432.8 2435.5 2438.2 2440.8 167.5 175.9 184.2 192.6 201.0 2406.7 2402.0 2397.2 2392.4 2387.6 2574.3 2577.9 2581.4 2585.0 2588.5 0.572 0.599 0.625 0.652 0.678 8.258 8.221 8.184 8.148 8.112 40 42 44 46 48 50 52 54 56 58 12.323 13.599 14.987 16.495 18.130 0.001012 0.001013 0.001014 0.001015 0.001016 12.1 11.0 10.0 9.2 8.4 209.3 217.7 226.0 234.4 242.7 2443.5 2446.1 2448.8 2451.4 2454.0 209.3 217.7 226.0 234.4 242.7 2382.8 2377.9 2373.1 2368.2 2363.4 2592.1 2595.6 2599.1 2602.6 2606.1 0.704 0.729 0.755 0.781 0.806 8.077 8.043 8.009 7.976 7.943 50 52 54 56 58 60 62 64 66 68 19.901 21.818 23.889 26.125 28.536 0.001017 0.001018 0.001019 0.001020 0.001022 7.7 7.1 6.5 6.0 5.5 251.1 259.5 267.8 276.2 284.6 2456.6 2459.2 2461.8 2464.4 2467.0 251.1 259.5 267.8 276.2 284.6 2358.5 2353.6 2348.7 2343.8 2338.8 2609.6 2613.1 2616.5 2620.0 2623.4 0.831 0.856 0.881 0.906 0.930 7.910 7.879 7.847 7.816 7.786 60 62 64 66 68 70 72 74 76 78 31.133 33.927 36.929 40.153 43.611 0.001023 0.001024 0.001025 0.001027 0.001028 5.1 4.7 4.3 4.0 3.7 292.9 301.3 309.7 318.1 326.5 2469.6 2472.1 2474.7 2477.2 2479.7 293.0 301.3 309.7 318.1 326.5 2333.9 2328.9 2323.9 2318.9 2313.8 2626.8 2630.2 2633.6 2637.0 2640.3 0.955 0.979 1.003 1.027 1.051 7.756 7.727 7.698 7.669 7.641 70 72 74 76 78 80 82 84 86 88 47.315 51.281 55.521 60.051 64.886 0.001029 0.001030 0.001032 0.001033 0.001035 3.4 3.2 2.9 2.7 2.5 334.8 343.2 351.6 360.0 368.4 2482.2 2484.7 2487.2 2489.6 2492.1 334.9 343.3 351.7 360.1 368.5 2308.8 2303.7 2298.6 2293.5 2288.4 2643.7 2647.0 2650.3 2653.6 2656.9 1.075 1.099 1.122 1.146 1.169 7.613 7.585 7.558 7.532 7.506 80 82 84 86 88 90 92 94 96 98 70.042 75.536 81.383 87.602 94.210 0.001036 0.001037 0.001039 0.001040 0.001042 2.4 2.2 2.1 1.9 1.8 376.8 385.2 393.7 402.1 410.5 2494.5 2497.0 2499.4 2501.8 2504.2 376.9 385.3 393.7 402.2 410.6 2283.2 2278.0 2272.8 2267.6 2262.3 2660.1 2663.3 2666.6 2669.7 2672.9 1.192 1.216 1.239 1.261 1.284 7.480 7.454 7.429 7.404 7.380 90 92 94 96 98 100 101.227 0.001044 1.7 418.9 2506.5 419.0 2257.0 2676.1 1.307 7.355 100 H-W U. For internal teaching use only. Water uf kJ/kg Steam ug Specific enthalpy kJ/kg Evaporation Steam hfg hg 2 Water hf t Saturated Water and Steam Pressures from the Triple Point to 100kPa Specific internal energy Pressure kPa p 0.611 0.8 Temp ºC t 0.0 3.8 1.0 1.2 1.4 1.6 1.8 7.0 9.7 12.0 14.0 15.9 0.001000 0.001000 0.001001 0.001001 0.001001 129.2 108.7 93.9 82.8 74.0 29.4 40.7 50.4 59.0 66.7 2385.0 2388.7 2391.9 2394.7 2397.3 29.4 40.7 50.4 59.0 66.7 2484.8 2478.5 2473.0 2468.2 2463.9 2514.2 2519.2 2523.4 2527.2 2530.5 0.106 0.146 0.181 0.211 0.237 8.976 8.909 8.853 8.805 8.762 1 1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.6 2.8 17.5 19.1 20.5 21.8 23.0 0.001001 0.001002 0.001002 0.001002 0.001002 67.0 61.2 56.4 52.3 48.7 73.6 80.0 85.8 91.3 96.4 2399.5 2401.6 2403.5 2405.3 2407.0 73.6 80.0 85.8 91.3 96.4 2460.0 2456.4 2453.1 2450.0 2447.1 2533.6 2536.3 2538.9 2541.3 2543.5 0.261 0.283 0.303 0.322 0.339 8.724 8.689 8.658 8.629 8.603 2 2.2 2.4 2.6 2.8 3.0 3.5 4.0 4.5 24.1 26.7 29.0 31.1 0.001003 0.001003 0.001004 0.001005 45.7 39.5 34.8 31.1 101.2 112.0 121.6 130.2 2408.6 2412.1 2415.2 2418.0 101.2 112.0 121.6 130.2 2444.4 2438.3 2432.8 2428.0 2545.6 2550.3 2554.4 2558.2 0.355 0.391 0.423 0.451 8.578 8.523 8.475 8.433 3 3.5 4 4.5 5.0 6 7 8 9 32.9 36.2 39.0 41.6 43.8 0.001005 0.001006 0.001007 0.001008 0.001009 28.2 23.7 20.5 18.1 16.2 138.0 151.7 163.5 174.0 183.4 2420.5 2425.0 2428.8 2432.2 2435.2 138.0 151.7 163.6 174.0 183.4 2423.6 2415.8 2409.0 2403.0 2397.6 2561.5 2567.5 2572.6 2577.1 2581.1 0.477 0.521 0.560 0.593 0.623 8.395 8.331 8.276 8.229 8.187 5 6 7 8 9 10 11 12 13 14 45.9 47.7 49.5 51.1 52.6 0.001010 0.001011 0.001012 0.001013 0.001013 14.7 13.4 12.4 11.5 10.7 192.0 199.8 207.1 213.8 220.1 2438.0 2440.5 2442.8 2444.9 2446.9 192.0 199.8 207.1 213.8 220.2 2392.7 2388.2 2384.0 2380.1 2376.5 2584.7 2588.1 2591.1 2594.0 2596.6 0.650 0.674 0.697 0.718 0.737 8.150 8.117 8.087 8.059 8.033 10 11 12 13 14 15 16 17 18 19 54.0 55.4 56.6 57.8 59.0 0.001014 0.001015 0.001015 0.001016 0.001017 10.0 9.4 8.9 8.4 8.0 226.1 231.7 237.0 242.1 246.9 2448.8 2450.6 2452.2 2453.8 2455.3 226.1 231.7 237.0 242.1 246.9 2373.1 2369.8 2366.7 2363.7 2360.9 2599.1 2601.5 2603.7 2605.9 2607.9 0.755 0.772 0.789 0.804 0.819 8.009 7.986 7.965 7.945 7.927 15 16 17 18 19 20 22 24 26 28 60.1 62.2 64.1 65.9 67.6 0.001017 0.001018 0.001019 0.001020 0.001021 7.7 7.0 6.4 6.0 5.6 251.5 260.2 268.3 275.7 282.8 2456.8 2459.5 2462.0 2464.3 2466.4 251.6 260.2 268.3 275.8 282.8 2358.2 2353.2 2348.4 2344.0 2339.9 2609.8 2613.4 2616.7 2619.8 2622.7 0.832 0.858 0.882 0.904 0.925 7.909 7.876 7.846 7.818 7.793 20 22 24 26 28 30 35 40 45 69.1 72.7 75.9 78.8 0.001022 0.001024 0.001026 0.001028 5.2 4.5 4.0 3.6 289.4 304.4 317.7 329.7 2468.5 2473.0 2477.1 2480.7 289.4 304.4 317.7 329.7 2336.0 2327.1 2319.1 2311.9 2625.4 2631.5 2636.8 2641.6 0.944 0.988 1.026 1.061 7.769 7.716 7.670 7.630 30 35 40 45 50 55 60 65 70 81.4 83.8 86.0 88.0 90.0 0.001030 0.001032 0.001033 0.001035 0.001036 3.2 3.0 2.7 2.5 2.4 340.6 350.6 359.9 368.6 376.8 2483.9 2486.9 2489.6 2492.2 2494.5 340.6 350.7 360.0 368.7 376.8 2305.3 2299.2 2293.6 2288.2 2283.2 2645.9 2649.9 2653.6 2656.9 2660.1 1.091 1.120 1.146 1.170 1.192 7.594 7.562 7.532 7.505 7.480 50 55 60 65 70 75 80 85 90 95 91.8 93.5 95.2 96.7 98.2 0.001037 0.001039 0.001040 0.001041 0.001042 2.2 2.1 2.0 1.9 1.8 384.4 391.7 398.6 405.2 411.5 2496.7 2498.8 2500.8 2502.7 2504.4 384.5 391.8 398.7 405.3 411.6 2278.5 2274.0 2269.7 2265.6 2261.7 2663.0 2665.8 2668.4 2670.9 2673.3 1.213 1.233 1.252 1.270 1.287 7.457 7.435 7.414 7.395 7.377 75 80 85 90 95 100 101.325 99.7 100.0 0.001043 0.001044 1.7 1.7 417.5 419.0 2506.1 2506.5 417.6 419.1 2257.9 2257.0 2675.5 2676.1 1.303 1.307 7.360 7.355 100 101.325 H-W U. For internal teaching use only. Water uf 0.1 15.9 Specific enthalpy kJ/kg Water Evaporation Steam hf hfg hg 0.1 2501.3 2501.4 15.9 2492.4 2508.3 Specific entropy kJ/kg.K Water Steam sf sg 0.000 9.157 0.058 9.058 Specific volume m³/kg Water Steam vf vg 0.001000 206.3 0.001000 159.7 kJ/kg Steam ug 2375.4 2380.6 3 Pressure kPa p 0.611 0.8 0.01 bar 0.1 bar 0.2 bar 0.5 bar 1 bar Saturated Water and Steam Pressures from 100 to 3,000kPa Specific volume m³/kg Water Steam vf vg Steam hg Specific.entropy kJ/kg.K Water Steam sf sg 2257.9 2250.8 2244.2 2237.9 2232.0 2675.5 2679.7 2683.6 2687.2 2690.5 1.303 1.333 1.361 1.387 1.411 7.360 7.327 7.298 7.271 7.247 100 110 120 130 140 467.2 475.5 483.3 490.8 498.0 2226.4 2221.1 2216.0 2211.1 2206.4 2693.6 2696.5 2699.3 2701.9 2704.4 1.434 1.455 1.475 1.495 1.513 7.223 7.202 7.182 7.162 7.144 150 160 170 180 190 2529.5 2532.8 2535.9 2538.6 2541.2 504.8 517.7 529.8 541.0 551.6 2201.9 2193.3 2185.3 2177.8 2170.6 2706.7 2711.1 2715.1 2718.8 2722.2 1.530 1.563 1.593 1.621 1.647 7.127 7.095 7.066 7.040 7.015 200 220 240 260 280 561.3 570.7 579.7 588.3 596.6 2543.6 2545.9 2548.0 2550.0 2551.8 561.6 571.1 580.1 588.7 597.0 2163.8 2157.3 2151.0 2145.1 2139.3 2725.4 2728.4 2731.2 2733.8 2736.3 1.672 1.695 1.717 1.738 1.758 6.992 6.971 6.950 6.931 6.913 300 320 340 360 380 0.4625 0.4418 0.4229 0.4055 0.3896 604.4 612.0 619.3 626.4 633.2 2553.6 2555.3 2556.9 2558.4 2559.9 604.9 612.5 619.8 626.9 633.7 2133.7 2128.4 2123.1 2118.1 2113.2 2738.6 2740.9 2743.0 2745.0 2746.9 1.777 1.795 1.813 1.829 1.845 6.896 6.880 6.864 6.849 6.835 400 420 440 460 480 0.001093 0.001097 0.001101 0.001104 0.001108 0.3749 0.3427 0.3157 0.2927 0.2729 639.8 655.5 670.0 683.7 696.6 2561.3 2564.5 2567.5 2570.1 2572.6 640.4 656.1 670.7 684.4 697.4 2108.4 2097.0 2086.2 2076.0 2066.2 2748.8 2753.0 2756.9 2760.4 2763.6 1.861 1.898 1.932 1.963 1.993 6.821 6.789 6.760 6.733 6.708 500 550 600 650 700 167.8 170.5 173.0 175.4 177.7 0.001112 0.001115 0.001118 0.001121 0.001124 0.2556 0.2405 0.2270 0.2150 0.2042 708.8 720.4 731.4 742.0 752.1 2574.8 2576.9 2578.8 2580.5 2582.2 709.6 721.3 732.4 743.0 753.2 2056.9 2048.0 2039.3 2031.0 2023.0 2766.5 2769.2 2771.7 2774.0 2776.2 2.020 2.047 2.071 2.095 2.118 6.685 6.663 6.642 6.623 6.604 750 800 850 900 950 1,000 1,050 1,100 1,150 1,200 179.9 182.1 184.1 186.1 188.0 0.001127 0.001130 0.001133 0.001136 0.001139 0.1945 0.1856 0.1775 0.1702 0.1634 761.9 771.2 780.3 789.0 797.5 2583.7 2585.2 2586.5 2587.7 2588.9 763.0 772.4 781.5 790.3 798.8 2015.2 2007.6 2000.3 1993.1 1986.1 2778.2 2780.1 2781.8 2783.4 2784.9 2.139 2.160 2.180 2.199 2.217 6.587 6.570 6.554 6.538 6.524 1,000 1,050 1,100 1,150 1,200 1,250 1,300 1,400 189.9 191.7 195.1 0.001141 0.001144 0.001149 0.1571 0.1513 0.1409 805.7 813.6 828.9 2590.0 2591.0 2592.9 807.1 815.1 830.5 1979.3 1972.6 1959.6 2786.4 2787.7 2790.1 2.235 2.252 2.285 6.509 6.496 6.469 1,250 1,300 1,400 1,500 1,600 1,700 1,800 1,900 198.4 201.5 204.4 207.2 209.9 0.001154 0.001159 0.001163 0.001168 0.001172 0.1318 0.1238 0.1167 0.1104 0.1048 843.4 857.1 870.3 882.9 895.0 2594.6 2596.1 2597.3 2598.5 2599.5 845.1 859.0 872.3 885.0 897.2 1947.2 1935.2 1923.6 1912.3 1901.3 2792.3 2794.2 2795.8 2797.3 2798.5 2.315 2.345 2.372 2.399 2.424 6.445 6.422 6.400 6.380 6.360 1,500 1,600 1,700 1,800 1,900 2,000 2,100 2,200 2,300 2,400 212.5 214.9 217.3 219.6 221.9 0.001177 0.001181 0.001185 0.001189 0.001193 0.0996 0.0950 0.0907 0.0869 0.0833 906.6 917.9 928.7 939.2 949.4 2600.4 2601.1 2601.8 2602.4 2602.9 909.0 920.3 931.3 942.0 952.3 1890.7 1880.3 1870.1 1860.2 1850.5 2799.7 2800.6 2801.4 2802.2 2802.7 2.448 2.471 2.493 2.514 2.535 6.341 6.323 6.306 6.289 6.273 2,000 2,100 2,200 2,300 2,400 2,500 2,600 2,700 2,800 2,900 224.0 226.1 228.2 230.1 232.1 0.001197 0.001201 0.001205 0.001209 0.001213 0.0800 0.0769 0.0741 0.0715 0.0690 959.3 968.9 978.3 987.4 996.3 2603.3 2603.6 2603.8 2604.0 2604.1 962.3 972.0 981.5 990.8 999.8 1840.9 1831.6 1822.4 1813.3 1804.4 2803.2 2803.6 2803.9 2804.1 2804.2 2.555 2.574 2.593 2.611 2.629 6.258 6.243 6.228 6.214 6.200 2,500 2,600 2,700 2,800 2,900 3,000 233.9 0.001217 0.0667 1005.0 2604.2 1008.6 1795.7 2804.3 2.646 6.187 3,000 Pressure kPa p Temp ºC t 100 110 120 130 140 99.7 102.3 104.8 107.2 109.3 0.001043 0.001045 0.001047 0.001049 0.001051 150 160 170 180 190 111.4 113.4 115.2 117.0 118.7 200 220 240 260 280 Specific internal energy kJ/kg Water uf Steam ug Water hf 1.6942 1.5497 1.4285 1.3255 1.2367 417.5 428.8 439.3 449.1 458.4 2506.1 2509.3 2512.2 2514.9 2517.4 417.6 428.9 439.4 449.3 458.5 0.001053 0.001054 0.001056 0.001058 0.001059 1.1594 1.0915 1.0313 0.9776 0.9294 467.1 475.3 483.1 490.6 497.8 2519.7 2521.9 2524.0 2525.9 2527.8 120.3 123.3 126.1 128.8 131.2 0.001061 0.001063 0.001066 0.001069 0.001071 0.8858 0.8102 0.7468 0.6928 0.6464 504.6 517.5 529.5 540.7 551.3 300 320 340 360 380 133.6 135.8 137.9 139.9 141.8 0.001073 0.001075 0.001078 0.001080 0.001082 0.6059 0.5703 0.5388 0.5106 0.4853 400 420 440 460 480 143.7 145.4 147.1 148.8 150.4 0.001084 0.001085 0.001087 0.001089 0.001091 500 550 600 650 700 151.9 155.5 158.9 162.0 165.0 750 800 850 900 950 H-W U. For internal teaching use only. 4 Specific enthalpy kJ/kg Evaporation hfg Pressure kPa p 1 bar 2 bar 4 bar 7 bar 10 bar 20 bar Saturated Water and Steam Pressures from 3,000kPa to Critical Point Specific volume m³/kg Water Steam vf vg Water uf Steam ug Specific enthalpy kJ/kg Water Evaporation Steam hf hfg hg 0.06669 0.06250 0.05878 0.05546 0.05248 1005.0 1021.7 1037.8 1053.3 1068.1 2604.2 2604.2 2604.0 2603.6 2603.1 1008.6 1025.7 1042.0 1057.7 1072.9 1795.7 1778.5 1761.8 1745.6 1729.6 2804.3 2804.2 2803.8 2803.3 2802.5 2.646 2.679 2.710 2.740 2.769 6.187 6.162 6.137 6.114 6.092 3,000 3,200 3,400 3,600 3,800 0.001252 0.001259 0.001266 0.001273 0.001279 0.04979 0.04734 0.04511 0.04306 0.04118 1082.5 1096.4 1109.8 1122.9 1135.6 2602.4 2601.6 2600.7 2599.6 2598.5 1087.5 1101.7 1115.4 1128.8 1141.7 1714.1 1698.8 1683.7 1669.0 1654.4 2801.5 2800.4 2799.1 2797.7 2796.2 2.797 2.823 2.849 2.873 2.897 6.070 6.050 6.030 6.011 5.992 4,000 4,200 4,400 4,600 4,800 264.0 266.5 268.9 271.2 273.5 0.001286 0.001293 0.001299 0.001306 0.001312 0.03945 0.03784 0.03635 0.03496 0.03366 1148.0 1160.0 1171.8 1183.3 1194.6 2597.3 2595.9 2594.5 2593.0 2591.5 1154.4 1166.8 1178.8 1190.6 1202.2 1640.1 1625.9 1612.0 1598.2 1584.5 2794.5 2792.7 2790.8 2788.8 2786.7 2.920 2.943 2.965 2.986 3.007 5.974 5.956 5.939 5.922 5.906 5,000 5,200 5,400 5,600 5,800 6,000 6,200 6,400 6,600 6,800 275.7 277.8 279.9 282.0 284.0 0.001319 0.001325 0.001332 0.001338 0.001345 0.03245 0.03131 0.03024 0.02923 0.02828 1205.6 1216.4 1227.0 1237.4 1247.6 2589.8 2588.1 2586.3 2584.5 2582.6 1213.5 1224.6 1235.5 1246.3 1256.8 1571.0 1557.6 1544.3 1531.1 1518.1 2784.5 2782.2 2779.9 2777.4 2774.9 3.027 3.047 3.066 3.085 3.103 5.889 5.874 5.858 5.843 5.828 6,000 6,200 6,400 6,600 6,800 7,000 7,200 7,400 7,600 7,800 285.9 287.8 289.7 291.5 293.3 0.001351 0.001358 0.001365 0.001371 0.001378 0.02738 0.02652 0.02572 0.02495 0.02422 1257.7 1267.6 1277.3 1286.9 1296.4 2580.6 2578.6 2576.5 2574.4 2572.2 1267.2 1277.4 1287.4 1297.4 1307.1 1505.1 1492.2 1479.4 1466.6 1454.0 2772.3 2769.6 2766.8 2764.0 2761.1 3.121 3.139 3.157 3.174 3.190 5.814 5.799 5.785 5.771 5.757 7,000 7,200 7,400 7,600 7,800 8,000 8,200 8,400 8,600 8,800 295.1 296.8 298.5 300.2 301.8 0.001384 0.001391 0.001398 0.001404 0.001411 0.02352 0.02286 0.02223 0.02162 0.02104 1305.7 1314.9 1324.0 1333.0 1341.9 2569.9 2567.6 2565.3 2562.9 2560.4 1316.8 1326.3 1335.8 1345.1 1354.3 1441.3 1428.8 1416.2 1403.8 1391.3 2758.1 2755.1 2752.0 2748.8 2745.6 3.207 3.223 3.239 3.255 3.271 5.743 5.730 5.717 5.703 5.690 8,000 8,200 8,400 8,600 8,800 9,000 9,200 9,400 9,600 9,800 303.4 305.0 306.6 308.1 309.6 0.001418 0.001425 0.001432 0.001439 0.001446 0.02049 0.01996 0.01945 0.01896 0.01848 1350.6 1359.3 1367.9 1376.4 1384.8 2557.9 2555.3 2552.7 2550.1 2547.3 1363.4 1372.4 1381.4 1390.2 1399.0 1378.9 1366.5 1354.2 1341.8 1329.5 2742.3 2738.9 2735.5 2732.0 2728.5 3.286 3.301 3.316 3.331 3.345 5.677 5.665 5.652 5.639 5.627 9,000 9,200 9,400 9,600 9,800 10,000 10,500 11,000 11,500 12,000 311.1 314.7 318.2 321.5 324.8 0.001453 0.001470 0.001489 0.001507 0.001527 0.01803 0.01697 0.01599 0.01509 0.01427 1393.2 1413.7 1433.8 1453.6 1473.1 2544.6 2537.4 2529.9 2522.1 2513.8 1407.7 1429.1 1450.2 1470.9 1491.4 1317.2 1286.4 1255.6 1224.7 1193.6 2724.9 2715.5 2705.8 2695.6 2685.0 3.360 3.395 3.430 3.463 3.496 5.614 5.583 5.553 5.523 5.493 10,000 10,500 11,000 11,500 12,000 12,500 13,000 13,500 14,000 14,500 327.9 331.0 333.9 336.8 339.6 0.001547 0.001567 0.001589 0.001611 0.001634 0.01350 0.01278 0.01212 0.01149 0.01090 1492.3 1511.3 1530.1 1548.7 1567.3 2505.3 2496.3 2486.9 2477.0 2466.6 1511.6 1531.6 1551.5 1571.3 1591.0 1162.4 1130.8 1098.9 1066.6 1033.7 2674.0 2662.5 2650.4 2637.8 2624.7 3.529 3.561 3.592 3.623 3.654 5.463 5.433 5.403 5.372 5.341 12,500 13,000 13,500 14,000 14,500 15,000 15,500 16,000 16,500 17,000 342.3 344.9 347.5 350.0 352.4 0.001658 0.001684 0.001711 0.001740 0.001771 0.01034 0.00981 0.00931 0.00883 0.00837 1585.8 1604.4 1622.9 1641.7 1660.6 2455.7 2444.2 2432.1 2419.2 2405.5 1610.7 1630.5 1650.3 1670.4 1690.7 1000.2 965.9 930.8 894.6 857.2 2610.9 2596.4 2581.1 2565.0 2547.9 3.685 3.716 3.746 3.777 3.808 5.310 5.279 5.246 5.213 5.179 15,000 15,500 16,000 16,500 17,000 17,500 18,000 18,500 19,000 19,500 354.8 357.1 359.4 361.6 363.7 0.001804 0.001841 0.001881 0.001926 0.001978 0.00793 0.00750 0.00708 0.00667 0.00626 1679.8 1699.4 1719.6 1740.7 1762.8 2390.9 2375.1 2358.0 2339.3 2318.5 1711.4 1732.6 1754.4 1777.3 1801.4 818.3 777.6 734.6 688.8 639.3 2529.7 2510.1 2489.1 2466.1 2440.7 3.840 3.872 3.905 3.940 3.976 5.143 5.106 5.067 5.025 4.980 17,500 18,000 18,500 19,000 19,500 20,000 20,500 21,000 21,500 22,000 22,105 365.9 367.9 369.9 371.9 373.8 374.1 0.002039 0.002114 0.002213 0.002365 0.002766 0.002717 0.00585 0.00543 0.00498 0.00446 0.00363 0.00272 1786.6 1812.9 1843.7 1883.9 1966.0 1959.0 2294.9 2267.4 2233.6 2187.5 2094.9 1959.0 1827.4 1856.3 1890.1 1934.7 2026.9 2019.1 584.6 522.5 448.1 348.6 147.8 0.0 2412.0 2378.8 2338.2 2283.4 2174.6 2019.1 4.016 4.059 4.110 4.178 4.318 4.306 4.930 4.874 4.807 4.718 4.547 4.306 20,000 20,500 21,000 21,500 22,000 22,105 Pressure kPa p Temp ºC t 3,000 3,200 3,400 3,600 3,800 233.9 237.5 241.0 244.3 247.4 0.001217 0.001224 0.001231 0.001238 0.001245 4,000 4,200 4,400 4,600 4,800 250.4 253.4 256.2 258.9 261.5 5,000 5,200 5,400 5,600 5,800 H-W U. For internal teaching use only. Specific internal energy kJ/kg 5 Specific entropy kJ/kg.K Water Steam sf sg Pressure kPa p 30 bar 50 bar 70 bar 100 bar 150 bar 200 bar Critical point Specific Enthalpy of Water and Steam Pressure (kPa) Pressure (bar) Sat. temp. (º C) Sat. specific enthalpy (kJ/kg) 0 10 50 100 500 1,000 2,000 4,000 6,000 8,000 10,000 15,000 20,000 22,105 25,000 30,000 40,000 50,000 Critical Pressure 100,000 0.1 45.9 81.4 1 99.7 151.9 10 179.9 212.5 250.4 275.7 295.1 100 311.1 342.3 365.9 374.1 Water Steam 192.0 2584.7 340.6 2645.9 417.6 2675.5 640.4 2748.8 763.0 2778.2 909.0 2799.7 1087.5 2801.5 1213.5 2784.5 1316.8 2758.1 1407.7 2724.9 1610.7 2610.9 1827.4 2412.0 2117.4 2117.3 Temp (º C) 0 25 50 75 2502 2548 2595 2642 0.0 104.9 2593 2640 0.0 104.9 209.3 313.9 0.1 105.0 209.4 314.0 0.5 105.3 209.7 314.3 1.0 105.8 210.2 314.7 2.0 106.7 211.0 315.5 4.0 108.6 212.7 317.1 6.0 110.4 214.5 318.7 Specific Enthalpy (kJ/kg) 8.0 10.0 15.0 112.3 114.1 118.7 216.2 217.9 222.2 320.3 322.0 326.0 20.0 123.2 226.5 330.0 22.1 125.2 228.2 331.7 24.9 127.8 230.7 334.0 29.8 132.3 235.0 338.1 39.5 141.3 243.5 346.1 49.0 150.3 251.9 354.2 95.0 194.1 293.8 394.2 Temp (º C) 0 25 50 75 100 125 150 175 2689 2736 2784 2832 2687 2735 2783 2831 2683 2731 2780 2829 2676 2727 2776 2826 419.3 525.2 632.2 2801 419.7 525.5 632.5 741.2 420.5 526.2 633.1 741.7 422.0 527.6 634.4 742.8 423.5 529.0 635.6 743.9 425.0 530.4 636.9 744.9 426.5 531.7 638.1 746.0 430.3 535.2 641.3 748.8 434.0 538.8 644.5 751.6 435.6 540.2 645.8 752.8 437.8 542.3 647.7 754.4 441.6 545.8 650.9 757.3 449.2 552.9 657.4 763.1 456.9 560.1 664.0 769.1 495.1 596.2 697.9 800.3 100 125 150 175 200 225 250 275 2880 2929 2978 3027 2880 2928 2977 3027 2878 2927 2976 3026 2875 2925 2974 3024 2855 2908 2961 3013 2828 2886 2943 2997 852.6 2836 2902 2964 853.4 967.1 1085.4 2886 854.3 967.6 1085.3 1210.0 855.1 968.1 1085.3 1209.2 856.0 968.7 1085.4 1208.4 858.2 970.2 1085.8 1206.9 860.5 971.8 1086.4 1205.9 861.5 972.5 1086.7 1205.6 862.8 973.5 1087.2 1205.3 865.2 975.3 1088.1 1205.0 870.3 979.2 1090.6 1205.2 875.5 983.5 1093.5 1206.3 903.7 1008.1 1113.6 1220.4 200 225 250 275 300 325 350 375 3077 3127 3177 3228 3077 3127 3177 3228 3076 3126 3176 3227 3074 3125 3175 3227 3064 3116 3168 3220 3051 3105 3158 3211 3024 3081 3137 3192 2961 3029 3092 3154 2884 2968 3043 3112 2785 2897 2987 3066 1342.3 2809 2923 3016 1337.2 1484.8 2692 2859 1333.3 1474.3 1645.6 2603 1331.9 1470.7 1635.0 2310 1330.2 1466.3 1623.5 1848 1327.8 1460.1 1608.4 1791 1324.6 1451.1 1588.2 1743 1323.0 1445.2 1575.2 1717 1328.8 1439.4 1552.6 1669 300 325 350 375 400 425 450 475 3280 3331 3384 3436 3280 3331 3383 3436 3279 3331 3383 3436 3278 3330 3382 3435 3272 3324 3377 3430 3264 3317 3371 3424 3248 3303 3357 3412 3214 3272 3330 3388 3177 3240 3302 3362 3138 3206 3272 3336 3096 3171 3241 3308 2975 3071 3156 3235 2818 2953 3060 3153 2733 2895 3016 3117 2580 2806 2950 3064 2151 2614 2821 2965 1931 2198 2513 2740 1875 2060 2284 2519 1790 1915 2044 2177 400 425 450 475 500 550 600 650 3489 3596 3705 3816 3489 3596 3705 3816 3489 3596 3705 3816 3488 3596 3705 3816 3484 3592 3702 3813 3478 3587 3698 3810 3468 3578 3690 3803 3445 3560 3674 3790 3422 3541 3658 3776 3398 3521 3642 3762 3374 3501 3625 3748 3309 3449 3582 3712 3238 3393 3538 3675 3207 3369 3518 3660 3162 3336 3491 3637 3081 3275 3444 3599 2903 3149 3346 3521 2720 3020 3248 3442 2313 2590 2860 3108 500 550 600 650 700 750 800 3929 4043 4159 3929 4043 4159 3929 4043 4159 3928 4043 4159 3926 4041 4157 3923 4038 4155 3917 4033 4150 3906 4023 4142 3894 4013 4133 3882 4003 4124 3871 3993 4115 3840 3967 4092 3809 3940 4070 3796 3929 4060 3778 3914 4047 3746 3887 4024 3681 3833 3979 3617 3780 3934 3332 3537 3726 700 750 800 H-W U. For internal teaching use only. 6 1000 Specific Entropy of Water and Steam Pressure (kPa) Pressure (bar) Sat. temp. (º C) Sat. specific entropy (kg/kg.K) 10 50 100 500 1,000 2,000 4,000 6,000 8,000 10,000 15,000 20,000 22,105 25,000 30,000 40,000 50,000 Critical Pressure 100,000 0.1 45.9 81.4 1 99.7 151.9 10 179.9 212.5 250.4 275.7 295.1 100 311.1 342.3 365.9 374.1 0.650 8.150 1.091 7.594 1.303 7.360 1.861 6.821 2.139 6.587 2.448 6.341 2.797 6.070 3.027 5.889 3.207 5.743 3.360 5.614 3.685 5.310 4.016 4.930 4.458 4.458 Temp (º C) 0 25 50 75 0.000 0.367 8.175 8.316 0.000 0.367 0.704 1.015 0.000 0.367 0.704 1.015 0.000 0.367 0.703 1.015 0.000 0.367 0.703 1.015 0.000 0.367 0.703 1.014 0.000 0.366 0.702 1.013 0.000 0.366 0.701 1.012 Specific Entropy (kJ/kg.K) 0.000 0.000 0.000 0.365 0.365 0.363 0.700 0.699 0.697 1.010 1.009 1.006 0.000 0.362 0.694 1.003 0.000 0.361 0.693 1.002 0.000 0.361 0.692 1.000 0.000 0.359 0.690 0.997 0.000 0.356 0.685 0.991 -0.001 0.353 0.681 0.985 -0.010 0.337 0.658 0.958 Temp (º C) 0 25 50 75 100 125 150 175 8.448 8.572 8.688 8.799 7.695 7.821 7.940 8.052 7.361 7.492 7.613 7.727 1.306 1.581 1.842 6.941 1.306 1.581 1.841 2.091 1.305 1.580 1.840 2.089 1.304 1.578 1.838 2.087 1.302 1.576 1.836 2.084 1.301 1.574 1.833 2.082 1.299 1.572 1.831 2.079 1.295 1.568 1.826 2.073 1.292 1.563 1.821 2.067 1.290 1.561 1.819 2.064 1.288 1.559 1.816 2.061 1.284 1.555 1.811 2.055 1.277 1.546 1.801 2.043 1.270 1.538 1.791 2.032 1.237 1.500 1.747 1.983 100 125 150 175 200 225 250 275 8.904 9.004 9.100 9.192 8.158 8.259 8.356 8.448 7.834 7.936 8.033 8.126 7.059 7.168 7.271 7.368 6.694 6.815 6.925 7.027 2.330 6.415 6.545 6.661 2.327 2.561 2.793 6.228 2.324 2.557 2.788 3.021 2.321 2.554 2.783 3.014 2.318 2.550 2.778 3.008 2.310 2.541 2.767 2.994 2.303 2.532 2.757 2.980 2.300 2.529 2.752 2.974 2.296 2.524 2.747 2.967 2.289 2.516 2.737 2.955 2.276 2.500 2.718 2.932 2.263 2.486 2.701 2.912 2.207 2.422 2.629 2.828 200 225 250 275 300 325 350 375 9.281 9.367 9.450 9.530 8.537 8.623 8.706 8.786 8.216 8.302 8.385 8.465 7.460 7.548 7.633 7.715 7.123 7.214 7.301 7.385 6.766 6.864 6.956 7.044 6.361 6.477 6.582 6.679 6.067 6.211 6.333 6.442 5.791 5.983 6.130 6.254 3.247 5.757 5.944 6.089 3.226 3.478 5.442 5.705 3.207 3.448 3.728 5.227 3.200 3.437 3.706 4.755 3.190 3.422 3.680 4.032 3.174 3.400 3.643 3.930 3.145 3.361 3.586 3.829 3.120 3.329 3.542 3.764 3.021 3.210 3.396 3.579 300 325 350 375 400 425 450 475 9.608 9.683 9.757 9.828 8.864 8.940 9.013 9.085 8.543 8.619 8.693 8.764 7.794 7.870 7.945 8.017 7.465 7.543 7.618 7.691 7.127 7.207 7.284 7.359 6.769 6.855 6.936 7.015 6.541 6.633 6.719 6.802 6.363 6.463 6.555 6.642 6.212 6.320 6.419 6.510 5.881 6.021 6.140 6.247 5.554 5.751 5.902 6.028 5.399 5.636 5.806 5.943 5.142 5.472 5.674 5.829 4.473 5.150 5.442 5.637 4.113 4.503 4.946 5.255 4.003 4.273 4.588 4.908 3.762 3.944 4.125 4.306 400 425 450 475 500 550 600 650 9.898 10.032 10.161 10.284 9.155 9.289 9.418 9.541 8.834 8.969 9.098 9.221 8.087 8.223 8.352 8.476 7.762 7.899 8.029 8.154 7.432 7.571 7.702 7.828 7.090 7.234 7.369 7.497 6.880 7.029 7.168 7.299 6.724 6.878 7.021 7.155 6.597 6.756 6.903 7.040 6.344 6.520 6.678 6.822 6.140 6.335 6.505 6.658 6.062 6.266 6.441 6.599 5.959 6.176 6.360 6.523 5.790 6.034 6.233 6.406 5.470 5.778 6.011 6.205 5.173 5.549 5.818 6.034 4.485 4.833 5.151 5.427 500 550 600 650 700 750 800 10.403 10.517 10.628 9.660 9.774 9.885 9.340 9.454 9.565 8.595 8.710 8.821 8.273 8.388 8.500 7.949 8.065 8.177 7.620 7.737 7.850 7.423 7.542 7.657 7.281 7.402 7.517 7.169 7.291 7.408 6.957 7.084 7.204 6.799 6.931 7.054 6.742 6.876 7.001 6.671 6.807 6.935 6.561 6.702 6.833 6.375 6.527 6.666 6.219 6.382 6.529 5.664 5.870 6.050 700 750 800 Water Steam H-W U. For internal teaching use only. 7 1000 Density of Water and Steam Pressure (kPa) Pressure (bar) Sat. temp. (º C) Sat. density (kg/m³) 10 50 100 500 1,000 2,000 4,000 6,000 8,000 10,000 20,000 22,105 25,000 30,000 40,000 50,000 Critical Pressure 100,000 0.1 45.9 990 0.0681 81.4 971 0.309 1 99.7 959 0.590 151.9 915 2.67 10 179.9 887 5.14 212.5 850 10.04 250.4 799 20.09 275.7 758 30.8 295.1 722 42.5 342.3 603 96.7 365.9 490 170.8 374.1 368 368 Temp (º C) 0 25 50 75 1000 997 0.0673 0.0624 1000 997 988 975 1000 997 988 975 1000 997 988 975 1000 998 988 975 1001 998 989 976 1002 999 990 977 1003 1000 991 977 Density (kg/m³) 1004 1005 1007 1001 1002 1004 991 992 994 978 979 981 1010 1006 997 983 1011 1007 997 984 1012 1008 999 986 1015 1010 1001 988 1019 1014 1005 992 1024 1018 1009 996 1045 1038 1028 1015 Temp (º C) 0 25 50 75 100 125 150 175 0.0582 0.0545 0.0512 0.0484 0.293 0.274 0.257 0.243 0.590 0.550 0.516 0.487 958 939 917 2.504 959 939 917 892 959 940 918 893 960 941 919 894 961 942 920 896 962 943 921 897 963 944 922 898 965 946 925 901 967 949 928 904 968 950 929 906 970 951 930 907 972 954 933 910 976 958 938 916 980 963 943 921 1000 983 965 945 100 125 150 175 200 225 250 275 0.0458 0.0435 0.0414 0.0395 0.230 0.218 0.207 0.198 0.460 0.437 0.416 0.396 2.353 2.223 2.108 2.006 4.86 4.55 4.30 4.07 865 9.64 8.97 8.43 867 835 799 18.33 868 837 802 760 870 839 804 763 871 841 806 766 875 845 812 773 878 849 817 779 880 851 819 782 882 853 822 786 885 857 826 792 891 864 835 802 897 871 843 812 924 901 877 851 200 225 250 275 300 325 350 375 0.0378 0.0362 0.0348 0.0334 0.189 0.181 0.174 0.167 0.379 0.363 0.348 0.335 1.914 1.830 1.754 1.684 3.88 3.70 3.54 3.39 7.97 7.57 7.22 6.90 17.00 15.93 15.05 14.29 28 25.40 23.68 22.28 41.2 36.5 33.4 31.0 716 50.3 44.6 40.8 726 665 87.2 72.0 736 680 601 130.4 739 686 613 220.1 744 693 626 507 752 704 644 559 765 723 672 610 778 739 694 641 824 795 764 731 300 325 350 375 400 425 450 475 0.0322 0.0310 0.0300 0.0290 0.161 0.155 0.150 0.145 0.322 0.311 0.300 0.290 1.620 1.561 1.506 1.454 3.26 3.14 3.03 2.92 6.61 6.35 6.12 5.90 13.62 13.03 12.50 12.01 21.10 20.08 19.18 18.38 29.1 27.6 26.2 25.0 37.9 35.5 33.6 32.0 63.9 58.4 54.2 50.9 100.6 87.3 78.8 72.6 122.4 102.2 90.7 82.7 166.5 126.9 109.1 98.0 358.4 188.6 148.5 128.3 524.2 394.9 270.8 209.9 577.7 498.2 402.2 315.0 694.5 655.7 614.8 572.3 400 425 450 475 500 550 600 650 0.0280 0.0263 0.0248 0.0235 0.140 0.132 0.124 0.117 0.280 0.263 0.248 0.235 1.407 1.320 1.244 1.176 2.82 2.65 2.49 2.36 5.69 5.33 5.01 4.73 11.57 10.79 10.12 9.53 17.65 16.39 15.33 14.41 24.0 22.1 20.6 19.4 30.5 28.1 26.1 24.4 48.1 43.6 40.1 37.3 67.7 60.4 55.0 50.8 76.7 67.9 61.5 56.6 89.9 78.6 70.7 64.8 115.2 98.3 87.4 79.4 177.9 143.2 123.5 110.3 256.9 195.4 163.6 143.6 529.0 445.2 374.3 321.0 500 550 600 650 700 750 800 0.0223 0.0212 0.0202 0.111 0.106 0.101 0.223 0.212 0.202 1.115 1.060 1.011 2.23 2.12 2.02 4.48 4.26 4.05 9.01 8.55 8.14 13.60 12.89 12.25 18.2 17.3 16.4 22.9 21.7 20.6 35.0 32.9 31.2 47.3 44.4 41.9 52.6 49.3 46.5 60.1 56.2 52.9 73.2 68.2 64.0 100.6 93.0 86.8 129.4 118.7 110.2 282.0 252.9 230.5 700 750 800 Water Steam H-W U. For internal teaching use only. 100 311.1 688 55.5 15,000 8 1000 Specific Internal Energy of Water and Steam Pressure (kPa) Pressure (bar) Sat. temp. (ºC) Sat. specific internal energy (kJ/kg) Temp (º C) 0 25 50 75 100 125 150 175 200 225 250 275 300 325 350 375 400 425 450 475 500 550 600 650 700 750 800 0 10 50 100 500 1,000 2,000 4,000 6,000 8,000 10,000 15,000 20,000 22,105 0.1 45.9 81.4 1 99.7 151.9 10 179.9 212.5 250.4 275.7 295.1 100 311.1 342.3 365.9 374.1 Water Steam 192.0 2438.0 340.6 2483.9 417.5 2506.1 639.8 2561.3 761.9 2583.7 906.6 2600.4 1082.5 2602.4 1205.6 2589.8 1305.7 2569.9 1393.2 2544.6 1585.8 2455.7 1786.6 2294.9 2045.3 2045.3 2375 2410 2446 2481 2516 2552 2588 2625 2662 2699 2736 2774 2812 2851 2890 2929 2969 3009 3050 3091 3132 3217 3303 3390 3480 3571 3664 0.0 104.9 2444 2480 2516 2552 2588 2624 2661 2698 2736 2774 2812 2851 2890 2929 2969 3009 3050 3091 3132 3217 3302 3390 3480 3571 3664 0.0 104.9 209.3 313.9 2512 2549 2586 2623 2660 2697 2735 2773 2811 2850 2889 2929 2968 3009 3049 3090 3132 3216 3302 3390 3479 3571 3664 0.0 104.9 209.3 313.9 2507 2545 2583 2620 2658 2696 2734 2772 2810 2849 2888 2928 2968 3008 3049 3090 3132 3216 3302 3390 3479 3571 3664 0.0 104.8 209.2 313.8 418.8 524.6 631.7 2601 2643 2684 2724 2763 2803 2843 2883 2923 2963 3004 3045 3087 3128 3213 3300 3388 3478 3569 3662 0.0 104.8 209.1 313.7 418.7 524.4 631.4 740.1 2622 2667 2710 2752 2793 2834 2875 2916 2957 2999 3040 3082 3124 3210 3297 3385 3475 3567 3660 0.0 104.7 209.0 313.4 418.4 524.1 630.9 739.5 850.3 2628 2680 2727 2773 2817 2860 2903 2945 2988 3030 3073 3116 3203 3291 3380 3471 3563 3657 0.0 104.6 208.7 313.0 417.8 523.3 630.0 738.3 848.8 962.3 1080.3 2668 2725 2778 2827 2874 2920 2965 3010 3055 3100 3189 3279 3370 3462 3555 3650 Specific Internal Energy (kJ/kg) 0.0 0.1 0.1 0.2 104.4 104.3 104.1 103.7 208.4 208.1 207.8 207.1 312.6 312.2 311.7 310.7 417.2 416.7 416.1 414.7 522.6 521.9 521.2 519.4 629.1 628.2 627.3 625.1 737.2 736.0 734.9 732.1 847.4 845.9 844.5 841.0 960.5 958.6 956.8 952.4 1077.8 1075.4 1073.0 1067.3 1202.1 1198.7 1195.4 1187.5 2667 2591 1328.3 1316.6 2732 2678 2610 1462.3 2790 2748 2699 2520 2843 2808 2770 2651 2893 2864 2832 2741 2941 2916 2889 2814 2989 2967 2943 2879 3036 3016 2995 2940 3082 3064 3046 2997 3175 3160 3145 3105 3267 3254 3242 3209 3360 3349 3338 3310 3453 3444 3435 3411 3548 3540 3532 3511 3643 3636 3629 3611 0.2 103.4 206.4 309.7 413.4 517.7 622.9 729.4 837.7 948.2 1061.9 1180.2 1306.1 1444.9 1612.3 2449 2619 2724 2806 2878 2943 3062 3174 3281 3386 3490 3593 0.2 103.2 206.1 309.3 412.8 517.0 622.0 728.3 836.3 946.5 1059.7 1177.3 1302.0 1438.5 1599.0 2210 2552 2679 2772 2850 2919 3044 3159 3269 3376 3481 3585 H-W U. For internal teaching use only. 9 25,000 30,000 40,000 50,000 Critical pressure 100,000 1000 0.2 103.0 205.7 308.7 412.1 516.0 620.8 726.8 834.5 944.2 1056.7 1173.4 1296.6 1430.3 1583.6 1799 2430 2609 2721 2808 2884 3018 3138 3252 3361 3469 3574 0.3 102.6 205.0 307.7 410.8 514.4 618.7 724.3 831.3 940.3 1051.8 1167.1 1287.9 1417.5 1561.9 1738 2067 2455 2619 2731 2821 2970 3101 3221 3336 3447 3556 0.3 101.9 203.7 305.8 408.3 511.2 614.8 719.4 825.4 932.9 1042.6 1155.3 1272.3 1395.7 1528.7 1677 1855 2097 2365 2549 2678 2870 3023 3158 3284 3403 3518 0.2 101.2 202.4 304.0 405.9 508.1 611.0 714.8 819.7 926.1 1034.2 1144.7 1258.7 1377.5 1503.2 1639 1788 1960 2160 2361 2525 2764 2942 3094 3231 3358 3480 -0.7 97.8 196.5 295.7 395.1 494.6 594.3 694.5 795.4 897.1 999.6 1103.0 1207.5 1313.6 1421.8 1532 1646 1762 1881 2002 2124 2366 2593 2796 2978 3142 3292 Temp (º C) 0 25 50 75 100 125 150 175 200 225 250 275 300 325 350 375 400 425 450 475 500 550 600 650 700 750 800 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 4200 4200 4000 4000 Specific Enthalpy (kJ/kg) . Enthalpy - Entropy diagram for Steam 3800 3800 3600 3600 3400 3400 3200 3200 3000 3000 2800 2800 2600 2600 2400 2400 2200 2200 2000 2000 1800 1800 4 4.5 5 5.5 6 6.5 7 Specific Entropy (kJ/kg.K) H-W U. For internal teaching use only. 10 7.5 8 8.5 9 0 500 1000 1500 Steam 2000 2500 3000 3500 100 4000 1000 100 1 10 Pressure (bar) Pressure (MPa) 10 0.1 1 0.01 0.1 0.001 0 500 1000 1500 2000 Enthalpy (kJ/kg) H-W U. For internal teaching use only. 11 2500 3000 3500 0.01 4000 Properties of R-12, CCl2F2 Specific entropy (kJ/kg.K) Liquid Vapour Superheated by 20K by 40K (kJ/kg) (kJ/kg.K) (kJ/kg) (kJ/kg.K) Pressure (MPa) t P vf vg hf hg sf sg h s h s -40 -35 -30 -25 -20 0.0643 0.0808 0.1004 0.1237 0.1509 0.00066 0.00067 0.00067 0.00068 0.00069 0.2428 0.1963 0.1603 0.1320 0.1097 164.0 168.4 172.8 177.3 181.7 334.0 336.4 338.8 341.2 343.5 0.8583 0.8769 0.8951 0.9132 0.9309 1.5875 1.5824 1.5779 1.5738 1.5701 345.2 347.8 350.3 352.8 355.4 1.6334 1.6281 1.6233 1.6189 1.6151 356.7 359.4 362.1 364.8 367.5 1.6771 1.6715 1.6665 1.6619 1.6578 -15 -10 -5 0 5 0.1825 0.2189 0.2607 0.3083 0.3621 0.00069 0.00070 0.00071 0.00072 0.00072 0.0918 0.0773 0.0656 0.0559 0.0480 186.2 190.8 195.4 200.0 204.7 345.9 348.2 350.4 352.7 354.9 0.9485 0.9658 0.9830 1.0000 1.0168 1.5668 1.5639 1.5613 1.5590 1.5569 357.9 360.4 362.9 365.3 367.7 1.6117 1.6087 1.6060 1.6035 1.6014 370.1 372.8 375.4 378.1 380.6 1.6542 1.6510 1.6481 1.6456 1.6434 10 15 20 25 30 0.4228 0.4907 0.5665 0.6507 0.7438 0.00073 0.00074 0.00075 0.00076 0.00077 0.0413 0.0358 0.0311 0.0271 0.0238 209.4 214.2 219.0 223.9 228.9 357.1 359.2 361.2 363.2 365.2 1.0335 1.0501 1.0665 1.0829 1.0992 1.5550 1.5532 1.5516 1.5501 1.5487 370.1 372.5 374.8 377.1 379.3 1.5995 1.5978 1.5963 1.5950 1.5938 383.2 385.8 388.3 390.8 393.2 1.6414 1.6396 1.6381 1.6367 1.6356 35 40 45 50 0.8464 0.9591 1.0824 1.2171 0.00079 0.00080 0.00081 0.00082 0.0209 0.0184 0.0162 0.0143 233.9 239.0 244.2 249.5 367.0 368.8 370.5 372.1 1.1154 1.1315 1.1477 1.1638 1.5473 1.5459 1.5445 1.5431 381.5 383.6 385.6 387.6 1.5927 1.5917 1.5907 1.5898 395.6 397.9 400.3 402.5 1.6345 1.6336 1.6327 1.6320 H-W U. For internal teaching use only. Specific volume (m3/kg) Liquid Vapour Saturated Specific enthalpy (kJ/kg) Liquid Vapour Saturation temperature (deg C) 12 Properties of Ammonia, NH3 Superheated Saturation temperature (deg C) Pressure (MPa) t P vf vg hf hg sf sg h s h s -40 -35 -30 -25 -20 0.0717 0.0931 0.1194 0.1515 0.1901 0.00145 0.00146 0.00148 0.00149 0.00150 1.553 1.217 0.964 0.772 0.624 59.4 78.9 98.5 118.1 137.7 1448 1453 1458 1463 1467 0.438 0.521 0.602 0.682 0.760 6.394 6.292 6.194 6.100 6.010 1527 1533 1538 1544 1549 6.701 6.595 6.494 6.398 6.306 1597 1603 1609 1614 1620 6.930 6.821 6.717 6.618 6.523 -15 -10 -5 0 5 0.2362 0.2907 0.3548 0.4294 0.5158 0.00152 0.00153 0.00155 0.00157 0.00158 0.509 0.418 0.347 0.289 0.243 157.4 177.2 197.0 216.9 236.9 1471 1474 1477 1479 1481 0.837 0.912 0.986 1.060 1.132 5.923 5.840 5.759 5.681 5.605 1554 1558 1563 1567 1570 6.218 6.134 6.053 5.975 5.900 1625 1630 1635 1639 1644 6.433 6.347 6.265 6.185 6.109 10 15 20 25 30 0.6151 0.7285 0.8575 1.0032 1.1672 0.00160 0.00162 0.00164 0.00166 0.00168 0.205 0.175 0.149 0.128 0.110 257.0 277.1 297.3 317.7 338.2 1483 1483 1484 1483 1483 1.202 1.272 1.341 1.409 1.476 5.531 5.459 5.388 5.319 5.252 1574 1577 1579 1582 1584 5.828 5.758 5.691 5.625 5.561 1648 1652 1655 1659 1662 6.036 5.966 5.898 5.832 5.768 35 40 45 50 1.3508 1.5554 1.7827 2.0340 0.00170 0.00173 0.00175 0.00178 0.096 0.083 0.072 0.063 358.8 379.6 400.6 421.9 1481 1479 1476 1472 1.543 1.609 1.674 1.739 5.185 5.119 5.054 4.990 1585 1586 1587 1587 5.499 5.439 5.379 5.322 1664 1667 1669 1671 5.707 5.647 5.589 5.532 H-W U. For internal teaching use only. Specific volume (m3/kg) Liquid Vapour Saturated Specific enthalpy (kJ/kg) Liquid Vapour Specific entropy (kJ/kg.K) Liquid Vapour 13 by 20K (kJ/kg) (kJ/kg.K) by 40K (kJ/kg) (kJ/kg.K) Ammonia NH3 0 200 400 600 800 1000 1200 1400 1600 1800 1000 2000 10000 1000 10 100 1 10 Pressure (bar) Pressure (MPa) 100 1 0.1 0.01 0 200 400 600 800 1000 1200 Enthalpy (kJ/kg) H-W U. For internal teaching use only. 14 1400 1600 1800 0.1 2000 Butane C4H10 -300 10 -200 -100 0 100 200 300 400 500 600 1 700 100 Pressure (bar) Pressure (MPa) 10 0.1 0.01 -300 1 -200 -100 0 100 200 Enthalpy (kJ/kg) H-W U. For internal teaching use only. 15 300 400 500 600 0.1 700 Carbon Dioxide CO2 400 100 450 500 550 600 650 700 750 800 850 900 950 1000 1050 1100 1150 1200 1000 100 1 10 Pressure (bar) Pressure (MPa) 10 0.1 400 450 500 550 600 650 700 750 800 Enthalpy (kJ/kg) H-W U. For internal teaching use only. 16 850 900 950 1000 1050 1100 1150 1 1200 Methane CH4 -900 -800 -700 -600 -500 -400 -300 -200 -100 0 100 200 300 400 500 600 700 800 1000 10 100 1 10 1 0.1 0.01 -1000 -900 -800 -700 -600 -500 -400 -300 -200 -100 Enthalpy (kJ/kg) H-W U. For internal teaching use only. 17 0 100 200 300 400 500 600 700 0.1 800 Pressure (bar) Pressure (MPa) -1000 100 Propane C3H8 -300 -200 -100 0 100 200 300 400 500 600 700 800 900 1000 1000 10 100 1 10 1 0.1 0.01 -400 -300 -200 -100 0 100 200 300 Enthalpy (kJ/kg) H-W U. For internal teaching use only. 18 400 500 600 700 800 900 0.1 1000 Pressure (bar) Pressure (MPa) -400 100 R-410A (50/50 CH2F2 / CHF2CF3 by mass) 50 100 150 200 250 300 350 400 450 500 550 10 10 Pressure (bar) Pressure (MPa) 1 600 100 0.1 1 0.01 50 100 150 200 250 300 350 Enthalpy (kJ/kg) H-W U. For internal teaching use only. 19 400 450 500 550 0.1 600 0.030 0.028 Psychrometric Chart 0.026 Barometric Pressure 101.325 kPa Basis - per kg of dry air 0.022 0.020 0.018 0.016 0.014 0.012 0.010 0.008 0.006 0.004 0.002 0.000 -10 0 10 20 30 Dry Bulb Temperature (ºC) H-W U. For internal teaching use only. 20 40 50 Specific Humidity - Moisture Content (kg/kg) 0.024