R134a热力性质的简易计算公式

R134a热力性质的简易计算公式

刘 晖 肖 红

(西安石油学院 710065)

摘 要 本文选择提供了一组简单的制冷工质热力性质基本计算方程，并推导了相应的焓和熵的计算公式，能在制冷、空调工程的实用工作温度和压力范围内很方便的计算R134a的热力性质，具有能满足工程要求的合理计算精度。状态方程采用截断至第二维里系数的简单维里方程，因此全部方程和公式形式简单，计算方便，当已知压力和温度计算其它热力性质参数无须任何迭代运算。文中还拟合了R134a的Antoine蒸汽压方程常数，可用于-40℃-60℃的温度范围，有较高的饱和蒸汽压计算精度。全部方程及公式适合工程设计应用。

关键词 R134a 制冷剂 热力性质 计算

R134a现已广泛地得到应用，有关其热力性质的计算方程也发表了许多［1，2，3］，用这些方程也制作了相应的R134a热力性质图表。由于这些文献在计算R134a热力性质时都使用的是非常复杂的多常数气体状态方程，导致整套计算公式特别是焓和熵的计算式非常繁复，在工程设计中直接使用这些方程和计算式很不方便，有时也不必要。在某些场合下，一组简单、便于使用并具有合理计算精度的R134a热力性质计算方程和公式可能更适合工程设计计算使用，为此作者经过计算对比，选择出了一组能满足上述要求的R134a热力性质的简易计算方程，在工程实用的压力温度范围内可供使用。

1 基本方程

包括气体状态方程、理想气体比热容方程、饱和蒸汽压方程和饱和液体比容方程。基本方程的选择以便于计算、精度合理为准则。

1.1 气体状态方程

采用简单的截断至第二维里系数的维里方程，即

Z=1+(BV) (1)

没有用展为压力的幂级数形式的维里方程。计算对比表明式(1)的计算精度更好。

式(1)为比容的二次方程，求比容时很方便，但在接近临界区时，无比容的实根。

第二维里系数B采用Pitzer--Abbott关联式计算，即

BPc/RTc=B0+ωB(1) (2)

B(0)=0.083-0.422Tr-1.6　(3)

B(1)=0.139-0.122Tr-4.2　(4)

式中Tr=T/Tc。

对比计算表明，用式(2)至式(4)计算B，再由式(1)计算R134a比容的精度不低于用更复杂的其它关联式计算B时的精度。

1.2 饱和蒸气压方程

用文献［1］提供的方程

lnP=π1/T+π2+π3T+π4(1-Tr)1.5　(5)

式中π1=-3.35346×10 3，π2=1.83606×10，π3=-2.90804×10-3，π4=2.78366。

上式适用于-40℃至临界温度。在已知压力求饱和温度时，须由式(5)迭代计算。为计算方便，作者根据文献［4］中R134a蒸汽压实验数据，在-40℃-60℃的温度范围内回归了R134a的Antoine方程常数，得出了R134a的Antoine方程，即

lnP=a-(b/T+c) (6)

式中a=14.72417,b=2252.088,c=-24.34848。与实验蒸汽压数据相比，式(6)的平均计算偏差为0.077%；与式(5)相比，平均计算偏差为0.11%。式(6)使用方便，可据需要使用。

1.3 理想气体比热容方程

c 0 pm　=c0+c1T+c2 T2 (7)

由文献［１］，c0=19.4006,c1=2.58531×10-1，c2=-1.29665×10-4。

1.4 饱和液比容方程　

用Yamada-Gunn饱和液比容方程，即

V′=V R Zφcr (8)

Zcr=0.29056-0.08775ω

φ=(1-Tr)2/7-(1-T R r)2/7

式中T R r=T R/T c,V R为任一参考温度T R下的饱和液比容。由文献［5］，在25℃时R134a饱和液体密度为1203kg/m3。

2 焓和熵计算式

有了以上4个基本方程，就可导出其余热力性质参数计算式。

2.1 汽化潜热

采用Watson关联式计算，即根据某一温度T1下的汽化潜热r1推算其它任一温度下的汽化潜热值。

r=r1(1-Tr/1-Tr1)0.375 (9)

式中Tr1=T１／Tc。以正常沸点汽化潜热作为已知值，由文献［1］有R134a正常沸点为-26.1℃，正常沸点汽化潜热为215.8kJ/kg。

2.2 蒸汽焓

由热力学微分关系，可推导出焓与熵的计算式。

h=(1/M)(c0T+c1 T2/2+c2 T3/3)-RT+PV- RT 2/V * dB/dT+h0 (10)

式中h0为与基准点焓值规定有关的常数。

2.3 饱和液焓

h′=h″-r (11)

2.4 蒸汽熵

s=(1/M)(c０lnT+c1T+c2(T２/2))-Rln(RT/V)-(BR/V)-(RT/V)(dB/dT)+s0 (12)

式中s０为与基准点熵值规定有关的常数。

2.5 饱和液熵

s′=s″-(r/T)(13)

若规定以-40℃的饱和液为基准状态并规定基准状态的焓和熵分别为0kJ/kg和0kJ/kg·K,则

h0=118.2200kJ/kg,s0=-0.3041504kJ/kg·K。

3 计算及讨论

用以上方程和计算式，在-30℃至60℃的实用温度范围内，对R134a的饱和热力性质作了计算。由文献［1］，Pc=4056kPa，Tc=374.205K，由文献［4］，ω=0.325。蒸汽压方程用式(5)。

各项参数的计算值与文献值［１］的平均偏差见表1。

表1 饱和蒸汽热力性质平均计算偏差 (%)

V′ V″ r h′ h″ s′ s″

0.253 0.990 0.431 3.75 0.542 3.66 0.555

由表1可见，用这套简明的方程和计算公式，在实用的饱和温度范围内计算R134a能得到令人满意的计算结果。对饱和蒸汽各项热力性质参数的平均计算偏差均在1.0%以内，对汽化潜热和饱和液比容的计算偏差则在0.5%以内，饱和液的焓和熵的计算偏差略大，约为3%～4%之间，但也在工程计算允许精度内。总的来说，这套方程和公式可以可靠的应用于制冷、空调装置的工程设计中。

热力性质计算的繁简，在很大程度上取决于气体状态方程的选用。本文选择了最简单的截断维里型状态方程，从而使全部方程和焓、熵计算式都很简明，使用很方便。截断至第二维里系数的简单维里方程，在工程上常用于压力低于2MPa的使用范围，尤其在气体密度小于二分之一临界密度的条件下，能较好地计算气体体积和其它热力性质。对极性气体，计算误差有所增大。对R134a这一强极性气体，本文的计算表明，采用展为比容的倒幂级数型的截断维里方程和最简单的Pitzer-Abbott第二维里系数关联式，可得到较好的热力性质计算结果。若用同样为截断至第二维里系数，但展开为压力的幂级数形式的简单维里方程，则在同样的饱和温度内，R134a比容的平均计算偏差要为3.0%。由此可以看出，同样是截断至第二维里系数的维里方程，形式不同，计算精度会有较大的差别，宜根据被计算物质的不同加以选用。对R134a，本文对状态方程的选择是合适的。

4 结论

选择出一组计算简单的热力性质基本方程来计算R134a的热力性质，推导了相应的焓和熵计算式。其中状态方程采用了截断至第二维里系数的简单维里方程，第二维里系数采用Pitzer-Abbott关联式，全部方程和计算式形式简单，便于计算。在实用的温度、压力范围内，计算精度令人满意，能方便可靠地应用于工程设计中。

主要符号说明

C ０ pm：理想气体定压热容，kJ/kg·K

h：焓，kJ/kg

M：分子量

P：压力，kPa

R：气体常数，kJ/kg·K

r：汽化潜热，kJ/kg

s：熵，kJ/kg·K

T：温度，K

V：比容，m3/kg

Z：压缩因子，Z=PV/RT

ω：偏心因子

上下标

′：饱和液参数″：饱和蒸汽参数

c:临界参数

参考文献

［１］Mclinden O. M. Measurement and formulation of the thermodynamic properties of refrigerants 134a and 123.ASHRAE Transaction,Part2.1989

［2］赵鸿斌，苏志军，严家禄.无污染制冷工质R134a的热力性质图表及计算式.工程热物理学报，1993，14 (1)：5～8

［3］李立，朱明善.一个HFC-134a的专用状态方程.工程热物理学报，1993，14(3)：234～237.

［4］朱明善，吴江，张天孙.新的HFC134a蒸汽压方程.工程热物理学报，1991，12(1)：8～11.

［５］蒋能照，吴兆琳，翁文兵.新制冷剂HFC-134a的热物理及热力学性质.上海机械学院学报，1991，13 (2)：81～89.

R717饱和热力性质表

附录八R717饱和热力性质表 温度绝对压力 比容焓熵 液体蒸汽液体蒸汽液体蒸汽 ℃MPa L/kg m3/kg kJ/kg kJ/(kg·K) -56 -54 -52 -50 -48 -46 -44 -42 -40 -38 -36 -34 -32 -30 -28 -26 -24 -22 -20 -18 -16 -14 -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 120.02832 0.03208 0.03624 0.04085 0.04592 0.05151 0.05764 0.06436 0.07171 0.07973 0.08847 0.09797 0.10828 0.11946 0.13154 0.14460 0.15857 0.17382 0.19011 0.20750 0.22634 0.24640 0.26785 0.29075 0.31517 0.34117 0.36883 0.39822 0.42941 0.46248 0.49750 0.53454 0.57370 0.61503 0.65864 1.4099 1.4146 1.4194 1.4242 1.4290 1.4340 1.4389 1.440 1.4491 1.4542 1.4694 1.4647 1.4701 1.4755 1.4810 1.4865 1.4921 1.4978 1.5036 1.5094 1.5154 1.5214 1.5275 1.5337 1.5398 1.5463 1.5527 1.5593 1.5659 1.5727 1.5795 1.5865 1.5936 1.6008 1.6081 3.69622 3.29060 2.93446 2.62526 2.35228 2.11331 1.90243 1.71627 1.55124 1.40491 1.27462 1.15863 1.05514 0.96244 0.87941 0.80492 0.73781 0.67731 0.62275 0.57340 0.52869 0.48811 0.45124 0.41770 0.38712 0.35923 0.33372 0.31038 0.28899 0.26985 0.25132 0.23472 0.21944 0.20535 0.19233 250.12 258.48 267.82 276.05 285.24 293.85 302.63 311.35 320.24 329.05 338.04 346.94 355.77 364.76 373.66 382.49 391.47 400.50 409.43 418.40 427.41 436.45 445.52 454.56 463.63 472.67 481.80 490.90 500.02 509.18 518.33 527.50 536.68 545.88 555.10 1681.29 1684.74 1688.08 1691.48 1694.77 1698.07 1701.32 1704.54 1707.70 1710.83 1713.90 1716.94 1719.95 1722.89 1725.80 1728.67 1731.48 1734.24 1736.95 1739.62 1742.22 1744.48 1747.28 1749.72 1752.11 1754.45 1756.72 1758.94 1761.10 1763.19 1765.23 1767.20 1769.11 1770.96 1772.74 0.9795 1.0179 1.0602 1.0973 1.1382 1.1762 1.2147 1.2525 1.2908 1.3284 1.3664 1.4037 1.4404 1.4775 1.5139 1.5496 1.5858 1.6217 1.6571 1.6923 1.7273 1.7622 1.7970 1.8313 1.8655 1.8993 1.9332 1.9667 2.0001 2.0333 2.0662 2.0990 2.1315 2.1639 2.1961 7.5702 7.5260 7.4824 7.4402 7.3986 7.3582 7.3185 7.2798 7.2415 7.2046 7.1681 7.1324 7.0974 7.0631 7.0294 6.9965 6.9641 6.9323 6.9011 6.8705 6.8404 6.8108 6.7817 6.7531 6.7250 6.6973 6.6701 6.6433 6.6169 6.5909 6.5652 6.5400 6.5151 6.4905 6.4663

未饱和水与过热水蒸气热力性质表

未饱和水与过热水蒸气热力性质表 红字以上的为未饱和水，红字一下的为过热蒸汽 / ℃ 0 0.001002 -0.05 -0.0002 0.0010002 -0.05 -0.0002 10 130.598 2519.0 8.9938 0.0010003 42.01 0.1510 20 135.226 2537.7 9.0588 0.0010018 83.87 0.2963 40 144.475 2575.2 9.1823 28.854 2574.0 8.43466 60 153.717 2612.7 9.2984 30.712 2611.8 8.5537 80 162.956 2650.3 9.4080 32.566 2649.7 8.6639 100 172.192 2688.0 9.5120 34.418 2687.5 8.7682 120 181.426 2725.9 9.6109 36.269 2725.5 8.8674 140 190.660 2764.0 9.7054 38.118 2763.7 8.9620 160 199.893 2802.3 9.7959 39.967 2802.0 9.0526 180 209.126 2840.7 9.8827 41.815 2840.5 9.1396

200 218.358 2879.4 9.9662 43.662 2879.2 9.2232 220 227.590 2918.3 10.0468 .45.510 2918.2 9.3038 240 236.821 2957.5 10.1246 47.357 2957.3 9.3816 260 246.053 2996.8 10.1998 49.204 2996.7 9.4569 280 255.284 3036.4 10.2727 51.051 3036.3 9.5298 300 264.515 3076.2 10.3434 52.898 3076.1 9.6005 350 287.592 3176.8 10.5117 57.514 3176.7 9.7688 400 310.669 3278.9 10.6692 62.131 3278.8 9.9264 450 333.746 3382.4 10.8176 66.747 3382.4 10.0747 500 356.823 3487.5 10.9581 71.362 3487.5 10.2153 550 379.900 3594.4 11.0921 75.978 3594.4 10.3493 600 402.976 3703.4 11.2206 80.594 3703.4 10.4778 / ℃ 0 0.0010002 -0.04 -0.0002 0.0010002 0.05 -0.0002

常见制冷剂热力性质表

附录： 附表1：R12饱和液体及蒸汽热力性质表 附表2：R13饱和液体及蒸汽热力性质表 附表3：R22饱和液体及蒸汽热力性质表 附表4：R134a饱和液体及蒸汽热力性质表 附表5：R152a饱和液体及蒸汽热力性质表 附表6：R600a饱和液体及蒸汽热力性质表 附表7：R407c饱和液体及蒸汽热力性质表 附表8：R123饱和液体及蒸汽热力性质表 附表9：R410a饱和液体及蒸汽热力性质表

附表1：R12饱和液体及蒸汽热力性质表 R12饱和液体及蒸汽热力性质表 温度绝对压力密度密度比焓比焓比熵比熵t pρ′ρ″h′h″s′s″℃MPa kg/m3kg/m3kJ/kg kJ/kg kJ/kg·K kJ/kg·K -1000.00118851679.10.099959113.32306.090.60771 1.721 -990.00130441676.50.10908114.14306.540.61242 1.7172 -980.00142981673.90.1189114.96306.980.61711 1.7135 -970.00156531671.30.12945115.78307.430.62178 1.7098 -960.00171171668.60.14077116.6307.880.62642 1.7062 -950.001869616660.15291117.42308.320.63105 1.7026 -940.00203971663.40.16592118.24308.770.63564 1.6992 -930.00222281660.70.17983119.06309.230.64022 1.6958 -920.00241971658.10.19471119.88309.680.64477 1.6925 -910.00263111655.50.21059120.71310.130.6493 1.6892 -900.0028581652.80.22754121.53310.590.65381 1.6861 -890.00310131650.20.24561122.36311.040.6583 1.6829 -880.00336171647.50.26485123.18311.50.66277 1.6799 -870.00364041644.90.28532124.01311.960.66722 1.6769 -860.00393831642.20.30708124.83312.410.67164 1.6739 -850.00425651639.60.33019125.66312.870.67605 1.6711 -840.00459591636.90.35471126.49313.340.68044 1.6683 -830.00495781634.30.38072127.32313.80.68481 1.6655 -820.00534321631.60.40827128.15314.260.68916 1.6628 -810.005753416290.43743128.98314.720.69349 1.6602 -800.00618961626.30.46827129.81315.190.6978 1.6576 -790.00665291623.60.50087130.64315.650.7021 1.655 -780.007144916210.53531131.47316.120.70637 1.6525 -770.00766671618.30.57164132.31316.580.71063 1.6501 -760.00821981615.60.60996133.14317.050.71487 1.6477 -750.00880561612.90.65034133.98317.520.7191 1.6454 -740.00942561610.30.69286134.81317.990.7233 1.6431 -730.010*******.60.73761135.65318.460.72749 1.6409 -720.010*******.90.78466136.49318.930.73167 1.6387 -710.0115061602.20.83411137.33319.40.73583 1.6365 -700.0122781599.50.88605138.17319.870.73997 1.6344 -690.0130921596.80.94056139.01320.340.74409 1.6323 -680.013951594.10.99774139.85320.820.7482 1.6303 -670.0148541591.4 1.0577140.69321.290.7523 1.6283 -660.0158051588.7 1.1205141.54321.760.75638 1.6264

饱和水和饱和水蒸气热力性质表

饱和水和饱和水蒸气热力性质表(按压力排列) 压力温度比体积比焓汽化潜热比熵 p t γ Mpa ℃m3/kg m3/kg kJ/kg kJ/kg kJ/kg kJ/(kg·K）kJ/（kg·K）0.001 6.9491 0.0010001 129.185 29.21 2513.29 2484.1 0.1056 8.9735 0.002 17.5403 0.0010014 67.008 73.58 2532.71 2459.1 0.2611 8.722 0.003 24.1142 0.0010028 45.666 101.07 2544.68 2443.6 0.3546 8.5758 0.004 28.9533 0.0010041 34.796 121.3 2553.45 2432.2 0.4221 8.4725 0.005 32.8793 0.0010053 28.101 137.72 2560.55 2422.8 0.4761 8.393 0.006 36.1663 0.0010065 23.738 151.47 2566.48 2415 0.5208 8.3283 0.007 38.9967 0.0010075 20.528 163.31 2571.56 2408.3 0.5589 8.2737 0.008 41.5075 0,0010085 18.102 173.81 2576.06 2402.3 0.5924 8.2266 0.009 43.7901 0.0010094 16.204 183.36 2580.15 2396.8 0.6226 8.1854 0.01 45.7988 0.0010103 14.673 191.76 2583.72 2392 0.649 8.1481 0.015 53.9705 0.001014 10.022 225.93 2598.21 2372.3 0.7548 8.0065 0.02 60.065 0.0010172 7.6497 251.43 2608.9 2357.5 0.832 7.9068 0.025 64.9726 0.0010198 6.2047 271.96 2617.43 2345.5 0.8932 7.8298 0.03 69.1041 0.0010222 5.2296 289.26 2624.56 2335.3 0.944 7.7671 0.04 75.872 0.0010264 3.9939 317.61 2636.1 2318.5 1.026 7.6688 0.05 81.3388 0.0010299 3.2409 340.55 2645.31 2304.8 1.0912 7.5928 0.06 85.9496 0.0010331 2.7324 359.91 2652.97 2293.1 1.1454 7.531 0.07 89.9556 0.0010359 2.3654 376.75 2659.55 2282.8 1.1921 7.4789

热力性质表 R502

T P VL Vg Hl Hg R Sl Sg 癈Bar dm^3/kg m^3/kg kJ/kg kJ/kg kJ/kg kJ/(kg K)kJ/(kg K) -45.00 1.0330.67560.15794153.41325.73172.320.8155 1.5708 -44.00 1.0820.67710.15125154.34326.23171.890.8196 1.5697 -43.00 1.1330.67850.14490155.28326.73171.450.8236 1.5686 -42.00 1.1850.68000.13887156.22327.22171.000.8277 1.5675 -41.00 1.2400.68150.13315157.17327.71170.550.8318 1.5664 -40.00 1.2960.68300.12771158.12328.21170.090.8358 1.5654 -39.00 1.3550.68460.12253159.08328.70169.620.8399 1.5643 -38.00 1.4150.68610.11761160.04329.19169.150.8440 1.5633 -37.00 1.4780.68770.11292161.01329.68168.670.8481 1.5624 -36.00 1.5430.68920.10847161.98330.17168.190.8522 1.5614 -35.00 1.6100.69080.10422162.95330.66167.700.8563 1.5604 -34.00 1.6790.69240.10017163.93331.14167.210.8604 1.5595 -33.00 1.7500.69400.09632164.92331.63166.710.8644 1.5586 -32.00 1.8240.69560.09264165.91332.11166.200.8685 1.5577 -31.00 1.9000.69720.08913166.91332.59165.690.8726 1.5569 -30.00 1.9790.69890.08578167.91333.07165.170.8767 1.5560 -29.00 2.0600.70050.08259168.91333.55164.640.8808 1.5552 -28.00 2.1430.70220.07953169.92334.03164.110.8849 1.5544 -27.00 2.2300.70390.07662170.94334.51163.570.8890 1.5536 -26.00 2.3180.70560.07383171.95334.98163.030.8932 1.5528 -25.00 2.4100.70730.07116172.98335.45162.480.8973 1.5520 -24.00 2.5040.70900.06862174.01335.93161.920.9014 1.5513 -23.00 2.6010.71080.06618175.04336.40161.360.9055 1.5505 -22.00 2.7010.71260.06384176.08336.86160.790.9096 1.5498 -21.00 2.8040.71430.06161177.12337.33160.210.9137 1.5491 -20.00 2.9100.71610.05947178.16337.79159.630.9178 1.5484 -19.00 3.0190.71790.05742179.21338.26159.040.9219 1.5477 -18.00 3.1310.71980.05545180.27338.72158.450.9260 1.5470 -17.00 3.2460.72160.05357181.33339.18157.850.9301 1.5464 -16.00 3.3640.72350.05176182.39339.63157.240.9343 1.5457 -15.00 3.4860.72540.05003183.46340.09156.630.9384 1.5451 -14.00 3.6100.72730.04836184.54340.54156.010.9425 1.5445 -13.00 3.7380.72920.04677185.61340.99155.380.9466 1.5439 -12.00 3.8700.73110.04523186.69341.44154.750.9507 1.5433 -11.00 4.0050.73310.04376187.78341.89154.110.9548 1.5427 -10.00 4.1430.73510.04235188.87342.33153.460.9589 1.5421 -9.00 4.2850.73710.04099189.96342.77152.810.9630 1.5415 -8.00 4.4300.73910.03968191.06343.21152.150.9672 1.5410 -7.00 4.5800.74110.03842192.17343.65151.490.9713 1.5404 -6.00 4.7330.74320.03721193.27344.09150.810.9754 1.5399 PDF created with pdfFactory trial version https://www.wendangku.net/doc/f14597086.html,

饱和水蒸气焓值表

压力 温度 汽化潜热 p tγ Mpa℃m3/kg m3/kg kJ/kg kJ/kg kJ/kg kJ/(kg·K）kJ/（kg·K）0.001 6.94910.0010001129.18529.212513.292484.10.10568.9735 0.00217.54030.001001467.00873.582532.712459.10.26118.722 0.00324.11420.001002845.666101.072544.682443.60.35468.5758 0.00428.95330.001004134.796121.32553.452432.20.42218.4725 0.00532.87930.001005328.101137.722560.552422.80.47618.393 0.00636.16630.001006523.738151.472566.4824150.52088.3283 0.00738.99670.001007520.528163.312571.562408.30.55898.2737 0.00841.50750,0010085 18.102173.812576.062402.30.59248.2266 0.00943.79010.001009416.204183.362580.152396.80.62268.1854 0.0145.79880.001010314.673191.762583.7223920.6498.1481 0.01553.97050.00101410.022225.932598.212372.30.75488.0065 0.0260.0650.00101727.6497251.432608.92357.50.8327.9068 0.02564.97260.0010198 6.2047271.962617.432345.50.89327.8298 0.0369.10410.0010222 5.2296289.262624.562335.30.9447.7671 0.0475.8720.0010264 3.9939317.612636.12318.5 1.0267.6688 0.0581.33880.0010299 3.2409340.552645.312304.8 1.09127.5928 0.0685.94960.0010331 2.7324359.912652.972293.1 1.14547.531 0.0789.95560.0010359 2.3654376.752659.552282.8 1.19217.4789 p tγ Mpa℃m3/kg m3/kg kJ/kg kJ/kg kJ/kg kJ/(kg·K）kJ/（kg·K）0.0893.51070.0010385 2.0876391.712665.332273.6 1.2337.4339 0.0996.71210.0010409 1.8698405.22670.482265.3 1.26967.3943 0.199.6340.0010432 1.6943417.522675.142257.6 1.30287.3589 0.12104.810.0010473 1.4287439.372683-26 2243.9 1.36097.2978 0.14109.3180.001051 1.2368458.442690.222231.8 1.4117.2462 0.16113.3260.0010544 1.09159475.422696.292220.9 1.45527.2016 0.18116.9410.00105760.97767490.762701.692210.9 1.49467.1623 0.2120.240.00106050.88585504.782706.532201.7 1.53037.1272 0.25127.4440.00106720.71879535.472716-83 2181.4 1.60757.0528 0.3133.5560.00107320.60587561.582725.262163.7 1.6721 6.9921 0.35138.8910.00107860.52427584.452732.372147.9 1.7278 6.9407 0.4143.6420.00108350.46246604.872738.492133.6 1.7769 6.8961 0.5151.8670.00109250.37486640.352748.592108.2 1.861 6.8214 0.6158.8630.00110060.31563670.672756.662086 1.9315 6.76 0.7164.9830.00110790.27281697.322763.292066 1.9925 6.7079 0.8170.4440.00111480.24037721.22768.862047.7 2.0464 6.6625 0.9175.3890.00112120.21491742.92773.592030.7 2.0948 6.6222 1179.9160.00112720.19438762.842777.672014.8 2.1388 6.5859饱和水和饱和水蒸气热力性质表(按压力排列) 比熵 比焓 比体积

水蒸汽热力性质表

附表16 饱和水和饱和水蒸气热力性质表(按温度排列) 温 度℃压力比体积比焓汽化潜比熵 液体蒸汽液体蒸汽液体蒸汽 0.000.00061120.00100022206.154 -0.052500.512500.6 -0.009.1544 0.01 0.0006117 0.00100021 206.0120.002500.532500.50.0009.1541 1 0.0006571 0.00100018192.464 4.18 2502.352498. 2 0.0159.1278 2 0.0007059 0.00100013179.787 8.392504.192495.8 0.0309.1014 3 0.0007580 0.00VTOO09168.041 12.612506.032493. 4 0.0459.0752 4 0.00081350.00100008 157.151 16.822507.872491.1 0.0619.0493 5 0.0008725 0.00100008 147.048 21.022509.71 2488.7 0.0769.0236 6 0.0009352 0.00100010 137.670 25.222511.552486.3 0.0918.9982 7 0.0010019 0.00100014128.961 29.422513.392484.0 0.1063 8.9730 8 0.0010728 0-00100019120.868 33.622515.232481.60.12138.9480 9 0.0011480 0.00100026 113.34237.812517.062479.3 0.1362 8.9233 10 0.0012279 0.00100034 106.341 42.002518.90 2476.90.1518.8988 11 0.0013126 0.00100043 99.825 46.192520.74 2474.5 0.1658 8.8745 12 0.00140250.0010005493.75650.382522.57 2472.2 0.1805 8.8504 13 0-0014977 0.0010006688.10154.572524.412469.8 0.1952 8.8265 14 0-0015985 0-0010008082.828 58.762526.242467.5 0.2098 8.8029 15 0.0017053 0.00100094 77.910 62.952528.072465.1 0.2243 8.7794 16 0.0018183 0.00100110 73.320 67.132529.902462.8 0.2388.7562 17 0.0019377 0.00100127 69.034 71.322531.722460.4 0.2538.7331 18 0.00206400.00100145 65.029 75.502533.552458.1 0.2678.7103 温度℃压力比体积比焓汽化潜比熵 液体蒸汽液体蒸汽液体蒸汽 19 0,0021970.00100165 61.287 79.68 2535.37 2455.7 0.2820 8-6877 20 0.0023380.00100185 57.786 83.86 2537.20 2453.3 0.2963 8.6652 22 0.0026440.00100229 51.445 92.23 2540.84 2448.6 0.3247 8.6210 24 0.0029840.00100276 45.884 100.59 2544.47 2443.9 0.3530 8.5774 26 0.0033620.00100328 40.997 108.95 2548.10 2439.2 0.3810 8.5347 28 0.0037810.00100383 36.694 117.32 2551.73 2434.4 0.4089 8.4927 30 0.0042450.00100442 32.899 125.68 2555.35 2429.7 0.4366 8.4514 35 0.0056260.00100605 25.222 146.59 2564.38 2417.8 0.5050 8-3511 40 0.0073810.00100789 19.529 167.50 2573.36 2405.9 0.5723 8.2551 45 0.0095890.00100993 15.2636 188.42 2582.30 2393.9 0.6386 8.1630

R饱和热力性质表

附录三R22饱和热力性质表 温度绝对压力密度质量体积焓熵 液体气体液体气体液体气体 ℃MPa kg/m3m3/kg kJ/kg kJ/(kg·K) －60－50－48－46－44－42－40.81－40－38－36－34－32－30－28－26－24－22－20－18－16－14－12－10－8－6－4－2 2 4 6 8 10 120.03750 0.06453 0.07145 0.07894 0.08705 0.09580 0.10133 0.10523 0.11538 0.12628 0.13797 0.15050 0.16389 0.17819 0.19344 0.20968 0.22696 0.24531 0.26479 0.28543 0.30728 0.33038 0.35479 0.38054 0.40769 0.43628 0.46636 0.49799 0.53120 0.56605 0.60259 0.64088 0.68095 0.72286 1463.7 1435.6 1429.9 1424.2 1418.4 1412.6 1409.2 1406.8 1401.0 1395.1 1389.1 1383.2 1377.2 1371.1 1365.0 1358.9 1352.7 1346.5 1340.3 1334.0 1327.6 1321.2 1314.7 1308.2 1301.6 1295.0 1288.3 1281.5 1274.7 1267.8 1260.8 1253.8 1246.7 1239.5 0.53680 0.32385 0.29453 0.26837 0.24498 0.22402 0.21260 0.20521 0.18829 0.17304 0.15927 0.14682 0.13553 0.12528 0.11597 0.10749 0.09975 0.09268 0.08621 0.08029 0.07485 0.06986 0.06527 0.06103 0.05713 0.05352 0.05019 0.04710 0.04424 0.04159 0.03913 0.03683 0.03470 0.03271 133.27 144.03 146.19 148.36 150.53 152.70 154.00 154.89 157.07 159.27 161.47 163.67 165.88 168.10 170.33 172.56 174.80 177.04 179.30 181.56 183.83 186.11 188.40 190.70 193.01 195.33 197.66 200.00 202.35 204.71 207.09 209.47 211.87 214.28 378.59 383.42 384.37 385.32 386.26 387.20 387.75 388.13 389.06 389.97 390.89 391.79 392.69 393.58 394.47 395.34 396.21 397.06 397.91 398.75 399.57 400.39 401.20 401.99 402.77 403.55 404.30 405.05 405.78 406.50 407.20 407.89 408.56 409.21 0.7260 0.7752 0.7849 0.7944 0.8039 0.8134 0.8189 0.8227 0.8320 0.8413 0.8505 0.8596 0.8687 0.8778 0.8868 0.8957 0.9046 0.9135 0.9223 0.9311 0.9398 0.9485 0.9572 0.9658 0.9744 0.9830 0.9915 1.0000 1.0085 1.0169 1.0254 1.0338 1.0422 1.0505 1.8770 1.8480 1.8428 1.8376 1.8327 1.8278 1.8250 1.8231 1.8186 1.8141 1.8098 1.8056 1.8015 1.7975 1.7937 1.7899 1.7862 1.7826 1.7791 1.7757 1.7723 1.7690 1.7658 1.7627 1.7596 1.7566 1.7536 1.7507 1.7478 1.7450 1.7422 1.7395 1.7368 1.7341