Thermodynamic Properties of SUVA MP66 Refrigerant (R-401B) Technical Information T-MP66- SI. DuPont Fluorochemicals

Transcription

1 DuPont Fluorochemicals Technical Information T-MP66- SI Technical Information Technical Information Thermodynamic Properties of SUVA MP66 Refrigerant (R-401B)

2 Thermodynamic Properties of Suva MP66 Refrigerant SI units New tables of the thermodynamic properties of Suva MP66 refrigerant [ASHRAE designation: R-401 B], a near azeotropic blend of HCFC-22/HFC-152a/HCFC-124 ( 61/11/28 mass%) have been developed and are presented here. These tables are based on extensive experimental measurements. Equations have been developed, based on the Peng-Robinson-Stryjek- Vera (PRSV) equation of state, which represent the data with accuracy and consistency throughout the entire range of temperature, pressure and density presented in these tables. Physical Properties Chemical Formula CHCIF2/CH3CHF2/CHCIFCF3 (61/11/28% by weight) Molecular Weight Boiling Point at One Atmosphere ( F) Critical erature Tc ( F) K ( R) Critical Pressure, Pc kPa (abs) (679.0 psia) Critical Density, Dc kg/m 3 (32.01 lb/ft 3 ) Critical Volume, Vc m 3 /kg ( ft 3 /lb) Units and Factors t = temperature in T = temperature in K = Pf = pressure of saturated liquid (bubble point in kpa (abs) Pg = pressure of saturated vapor (due point) in kpa (abs) vf = volume of saturated liquid in m 3 /kg vg = volume of saturated liquid in m 3 /kg V = volume of superheated vapor in m 3 /kg df = 1/vf = density of saturated liquid in kg/m 3 dg = 1/vg = density of saturated vapor in kg/m 3 hf = enthalpy of saturated liquid in kj/kg hfg = enthalpy of vaporization in kj/kg hg = enthalpy of saturated vapor in kj/kg H = enthalpy of superheated vapor in kj/kg sf = entropy of saturated liquid in kj/(kg) (K) sg = entropy of saturated vapor in kj/(kg) (K) S = entropy of superheated vapor in kj/(kg) (K) Cp = heat capacity at constant pressure in kj/(kg) (K) = heat capacity at constant volume in kj/(kg) (K) Cv The gas constant, R = J(mole) (K) For Suva MP66, R = kj/(kg) (K) One atmosphere = kpa Reference point for enthalpy and entropy: hf = 200 kj/kg at 0 sf = 1 kj/kg K at 0 Equations The Pen-Robinson-Stryjek-Vera (PRSV) equation of state was used to calculate the tables of thermodynamic properties. It was chosen as the preferred equation of state because it provided an accurate fit of the thermodynamic data over the entire range of temperatures and pressures presented in these tables. The constants for the PRSV equation of state were calculated in SI units. For conversion of thermodynamic properties to Engineering (I/P) units, conversion factors are provided for each property derived from the PRSV equation of state. 1. Equation of State (PRSV) P = RT/(V-b) a/(v 2 + 2bV b 2 ) Where P is in kpa, T is in K, V is in m 3 /mole, and R = J/(mole) (K). The constants a and b are calculated as follows: a = Σ Σ xi xj aij b = Σ xi bi i=l j=l i=l where aij = (ai aj)0.5 (1 kij) bi= RTci/Pci xi = mole fraction of component i xj = mole fraction of component j ai = ( R 2 Tci 2 /Pci)αj aj = ( R 2 Tcj 2 /Pcj) αj kij = binary interaction parameter for components i and j αi = [1 + ºI (1 Tri 0.5 )] 2 ºi = º0i + ºli [(1 + Tri 0.5 ) (0.7 Tri)] (Note: ºi = º0i for Tr>0.7) º0i = i i i 3 ºli = adjustable parameter for component i = Ti/Tci for component i Tri 1

3 Values for R, Tci, Pci, i, ºli, xj and Kij are needed to calculate constants a and b. R = J/(mole) (K). The remaining constants for Suva MP66 are summarized below: Component Tci Pci ωi Kli XI HCFC-22 (i=1) HFC-152a (i=2) HCFC-124 (i=3) The binary interaction parameters, kij, for Suva MP66 are: K11 = K12 = K13 = K21 = K22 = K23 = K31 = K32 = K33 = Ideal Gas Heat Capacity Equation (at constant pressure): 3 C 0 p (mixture) = xi C 0 pi i=l C o pi = (Ai +Bi T + Ci T 2 + Di T 3 + Ei T 4 + Fi T 5 Where C o p and C o p are in J/(mole) (K) and T is in K. xi is the mole fraction of component i in the mixture (use same values listed in PRSV constants for Suva MP66). Ai, Bi, Ci, Di, Ei, and Fi are constants Al = E+00 Bl = E-01 A2 = E+00 B2 = E-01 A3 = E+01 B3 = E+00 Cl = E-04 Dl = E-06 C2 = E-04 D2 = E-08 C3 = E-02 D3 = E-05 El = E-09 Fl = E-13 E2 = E+00 F2 = E+00 E3 = E-08 F3 = E-11 Properties calculated in SI units from the equations and constants listed above can be converted to I/P units using the conversion factors shown below. Please note that in converting enthalpy and entropy from SI to I/P units, a change in reference states must be included (from H = 200 and S = 1 at 0 for SI units to H = 0 and S = 0 at 40 F for I/P units). In the conversion equations below, H (ref) and S (ref) are the saturated liquid enthalpy and entropy at 40. For Suva MP66: H(ref) = kj/kg and S (ref) = kj/kg K. Conversion Factors (SI units to I/P units): P (psia) = P (kpa) T ( F) = (T[] 1.8) + 32 D (lb/ft 3 ) = D (kg/m 3 ) V (ft 3 /lb) = V (m 3 /kg) H (Btu/lb) = [H (kj/kg) H (ref)] S (Btu/lb R) = [S (kj/kg K)-S (ref)] Cp (Btu/lb F) = Cp (kj/kg K) Cv (Btu/lb F) = Cv (kj/kg K) Vapor Pressure logn P = A + B/T + C logn T + D T 2 For SI units T is in K and P is in kpa (abs) A, B C and D are constants Constants for vapor pressure of saturated liquid (bubble point), pf: A = E+01 C = E+00 B = E+03 D = E-05 Constants for vapor pressure of saturated vapor (due point), pg: A = E+01 B = E+03 C = E+00 D = E-05 For I/P units T is in R and P is in psia A, B, C and D are constants Constants for vapor pressure of saturated liquid (bubble point), pf: A = E+01 C = E+00 B = E+03 D = E-05 Constants for vapor pressure of saturated vapor (due point), pg: A = E+01 B = E+03 C = E+01 C = E-05 2

4 3. Density of the Saturated Liquid df/dc = a0 + al z + a 2 z 2 + a3 z 3 + a4 z 4 where z = (1 T/Tc) 1/3 t0 Because both density and temperature appear in the reduced form in the equation, the same constants can be used for either SI or I/P units. df and Dc are in kg/m 3 in SI units and lb/ft 3 in I/P units; T and Tc are in K in SI units and R in I/P units; a0, al, a2, a3, a4, and t0 are constants: a0 = a3 = al = a4 = a2 = t0 =

5 TABLE 1 SUVA MP66 (R-401B) Saturation Properties - erature Table Pressure Volume Density Enthalpy Entropy [kpa] [m 3 /kg] [kg/m 3 ] [kj/kg] [kj/k-kg] Liquid Vapour Liquid Vapour Liquid Vapour Liquid Latent Vapour Liquid Vapour v f v g d f d g H f H fg H g S f S g

6 TABLE 1 (continued) SUVA MP66 (R-401B) Saturation Properties - erature Table Pressure Volume Density Enthalpy Entropy [kpa] [m 3 /kg] [kg/m 3 ] [kj/kg] [kj/k-kg] Liquid Vapour Liquid Vapour Liquid Vapour Liquid Latent Vapour Liquid Vapour v f v g d f d g H f H fg H g S f S g

7 TABLE 1 (continued) SUVA MP66 (R-401B) Saturation Properties - erature Table Pressure Volume Density Enthalpy Entropy [kpa] [m 3 /kg] [kg/m 3 ] [kj/kg] [kj/k-kg] Liquid Vapour Liquid Vapour Liquid Vapour Liquid Latent Vapour Liquid Vapour v f v g d f d g H f H fg H g S f S g

8 TABLE 1 (continued) SUVA MP66 (R-401B) Saturation Properties - erature Table Pressure Volume Density Enthalpy Entropy [kpa] [m 3 /kg] [kg/m 3 ] [kj/kg] [kj/k-kg] Liquid Vapour Liquid Vapour Liquid Vapour Liquid Latent Vapour Liquid Vapour v f v g d f d g H f H fg H g S f S g

9 TABLE (-69.48) (-65.35) (-52.29) (-47.19) (1.8156) (369.9) (1.9119) ( ) (375.5) (1.8773) (0.6519) (379.2) (1.8583) (0.4987) (382.1) (1.8455) (-43.04) (-39.52) (-36.44) (-33.69) (0.4051) (384.4) (1.8359) (0.3419) (386.3) (1.8284) (0.2961) (388.0) (1.8221) (0.2615) (389.6)

10 TABLE 2 (continued) (-31.2) (-28.92) (-28.64) (-26.82_ (0.2343) (390.9) (1.8123) (0.2123) (392.2) (1.8083) (0.2097) (392.4) (0.1942) (393.4) (1.8048) (-24.86) (-23.03) (-21.30) (-19.67) (0.1790) (394.4) (1.8016) (0.1661) (395.5) (1.7988) (0.1550) (396.4) (1.7962) ( ) (397.3) (1.7938)

11 TABLE 2 (continued) (-18.12) (-16.65) (-15.24) (-13.89) (0.1367) (398.1) (1.7916) (0.1291) (398.9) (1.7895) (0.1224) (399.7) (1.7876) (0.1163) (400.5) (1.7858) (-12.59) (-11.35) (-10.14) (-8.98) (0.1108) (401.2) (1.7842) (0.1058) (401.8) (1.7826) (0.1013) (402.5) (1.7811) (0.0971) (403.1) (1.7797)

12 TABLE 2 (continued) (-7.86) (-6.77) (-5.72) (-4.7) (0.0933) (403.7) (1.7784) (0.0898) (404.3) (1.7771) (0.0865) (404.8) (1.7759) (0.0834) (405.4) (1.7748) (-3.7) (-2.74) (-1.8) (-0.88) (0.0806) (405.9) (1.7737) (0.0780) (406.4) (1.7726) (0.0755) (406.9) (1.7716) (0.0732) (407.4) (1.7706)

13 TABLE 2 (continued) (+0.01) (+0.89) (+1.74) (+2.57) (0.0710) (407.8) (1.7697) (0.0689) (408.3) (1.7687) (0.0670) (408.7) (1.7679) (0.0651) (409.2) (1.767) (3.39) (4.19) (4.97) (5.74) (0.0634) (409.6) (1.7662) (0.0618) (410.0) (1.7655) (0.0602) (410.4) (1.7647) (0.0587) (410.8) (1.7640)

14 TABLE 2 (continued) (6.50) (8.32) (10.06) (11.74) (0.0573) (411.2) (1.7632) (0.0540) (4121) (1.7616) (0.0511) (412.9) (1.7600) (0.0485) (413.8) (1.7585) (13.34) (14.89) (16.38) (17.82) (0.0462) (414.5) (1.7571) (0.0440) (415.3) (1.7557) (0.0421) (416.0) (1.7545) (0.0403) (416.7) (1.7533)

15 TABLE 2 (continued) (19.21) (20.56) (21.86) (23.14) (0.0386) (417.3) (1.7521) (0.0371) (418.0) (1.7510) (0.0357) (418.6) (1.7500) (0.0344) (419.1) (1.749) (24.37) (25.57) (26.74) (27.89) (0.0332) (419.7) (1.7480) (0.0320) (420.2) (1.7470) (0.0309) (420.7) (1.7461) (0.0299) (421.2) (1.7452)

16 TABLE 2 (continued) (29.00) (31.15) (33.21) (35.19) (0.0290) (421.7) (1.7444) (0.0273) (422.6) (1.7427) (0.0257) (423.4) (1.7412) (0.0244) (424.2) (1.7396) (37.08) (40.67) (44.02) (47.16) (0.0231) (425.0) (1.7382) (0.0209) (426.3) (1.7355) (0.0191) (427.5) (1.7329) (0.0175) (428.5) (1.7304)

17 TABLE 2 (continued) (50.13) (52.94) (55.61) (58.16) (0.0162) (429.4) (1.7280) (0.0150) (430.2) (1.7257) (0.0140) (430.9) (1.7234) (0.0131) (431.5) (1.7211) (60.60) (62.94) (65.18) (67.35) (0.0122) (432.1) (1.7189) (0.0115) (432.5) (1.7166) (0.0108) (432.8) (1.7144) (433.1) (1.7121)

18 TABLE 2 (continued) (69.43) (71.44) (73.39) (75.28) (0.0097) (433.3) (1.7098) (0.0091) (433.5) (1.7075) (0.0087) (433.5) (1.7051) (0.0082) (433.5) (1.7027) (77.11) (78.89) (80.61) (82.29) (0.0078) (433.5) (1.7002) (0.0074) (433.3) (1.6976) (0.0071) (433.1) (1.6950) (0.0067) (432.9) (1.6923)

19 TABLE 2 (continued) (83.92) (85.52) (87.07) (88.58) (0.0064) (432.5) (1.6895) (0.0061) (432.1) (1.6866) (0.0058) (431.6) (1.6836) (0.0056) (431.0) (1.6804) (90.06) (91.5) (92.91) (94.29) (0.0053) (430.4) (1.6772) (0.0051) (429.6) (1.6737) (0.0048) (428.8) (1.6700) (0.0046) (427.8)

20 TABLE 2 (continued) (95.63) (96.95) (98.23) ( ) (0.0044) (426.7) (1.6620) (0.0042) (425.5) (1.6576) (0.0040) (424.1) (1.6527) ( ) ( ) ( )

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