Title Specific volume and viscosity of ethanol-water mixtures under high pressure Author(s) Tanaka, Yoshiyuki; Yamamoto, Takeshi; Satomi, Yoshimasa; Kubota, Hironobu; Makita, Tadashi Citation The Review of Physical Chemistry of Japan (1977), 47(1): 1224 Issue Date URL 1977-07-20 http://hdl.handle.net/2433/47042 Right Type Textversion Departmental Bulletin Paper publisher Kyoto University The Review of Physical Chemistry of Japan TLC I2E\9EN' OF PHYSICALCHEII1$TRTOFJAPAN,V01.. 47, ~O. I, 12 VOLUME AND VISCOSITY SPECIFIC 1 (1977) Vol. 47 No. 1977 OF ETHANOL-WATER MIXTURES UNDER HIGH PRESSURE 13v YOSHIVL'RI T,a\ARa, HlaoNOau TA6 ESHI ~:fyLt at0T0. S USHIa[.tSA $ATOa[I, I:ceora Ann Taoasxr IVfasaTA The specific volume and the viscosity of enthanol-water mixtures at 23' (29S15K) and 30'C (323.1 SIi) have been measured under pressures up [0 3200 and 800 bar (IOsPa), respectively. The measurements were performed by a modified Adams piezometer and a fallingtylinder viscometer. The maximum uncertainties are estimated to be 0.05°6 for the specific volume and 2q; for the viscosity. The specific volume of the pure components and their mixtures is found to decrease monotonously with increasing pressure. The results obtained are compared with several sets of literature values. The numerical data at each temperature and composition are correlated satisfactorily as a function of pressure by both polynomial and the Tait equations- I[ is also found that a definite minimum appears on /he isothermal compressibility versos composition isobars, arising from the complex interactions between hydrogen-bonded water and alcohol molecules. The viscosity ai pure ethanol and mixturesis found to increase almost linearly with increasing pressure, whereas that of water is nearly independent of pressure in these experimental conditions. The viscosity isotherms can he for• mulcted by a quadratic equation of pressure within the experimental error, As for the composition dependence of the \•iscosity, a distinct maximum appears near 0.3 mole fraction of ethanol on all isobars a[ both experimental temperatures. Introduction The physico-chemical properties of science. The solutions molar volume, compressibility, been yet inadequately pressure excess velocity understood. are important thermodynamic of aqueous solutions often show some anomalies both engineering However properties, especially under high pressure. The present investigation was undertaken ty data under high pressure and 30'C under pressures modified properties viscosity in many fields such as partial and so on. which have in a wide region of temperature designs and in theoretical extensive mi-elutes. Numerical data have been determined Empirical results. of on these P-I'-T and viscosi- and 800 bar for viscosity, viscometer. from the experimental and accurate and investigations have been only a few measurements to provide and afalling-cylinder for both properties (Received /t/ay ?i, 1977) there up to 3200 bar for specific volume Adams piezometer also been presented for ethanol-water of mixtures are of interest physical of sound, sound absorption, Such properties in chemical properties. of alcohols in various correlation at 25' employing a formulas have The Specific Volume and Viscosity Review of Ethanol-R'aler of Physical Mixtures Chemistry u;gh under of Japan Vol. 47 No. Pressure l3 Experimentals P-V-T measurements The specific volume of the ethanol-water mixtures has been measured by a modified Adams piezometer~l similar to that used by \ewitt et al.zt The piezometer is made of Pyrex glass. The schematic diagram is given in Fig. 1 and the typical dimensions are summarized in Table 1. The volumes of the piezometer or mercury. and the capillary The piezometer stem were determined was set in a high pressure dows which enable us to observe and control high pressure vessel u•as immersed was measured by Heise Bourdon pressure measuremenu The mercury is estimated trapped by weighing them filled with distilled precisely i¢ a thermostat vessel equipped the mercury with a pair of optical le\•el in the capillary bath controlled gauges calibrated within --X0.01°C. The pressure against a pressure balance. The uncertainty in to be less than QI o. in the piezometer was gashed with ethanol and weighed alter drying. i~ z G ~~ E z ~r a a ~~ i s .I°I fO~° Schematic diagram of modified Adams piezo• meter win- stem. The A Fib. 1 water Fig. 1 ~, 9 Schematic diagram of falling-cylinder viscometer 1. Pyrex glass tuhe 6. Thermister 2. Falling rylinder 7. Pivot 3. Laser beam 8. O-ring a. Optical window 9. Sample inlet 5. High pressure vessel Q L, H. Adams, 1.:Luer. C/rem. Sar., 53, 3769 (1931) 21 D. T1. :~ewitt and K. E. ~i'eale, !. Chem. Soc., 3092 (1951) 1 (1977) The Y. Tanakn, 14 T. 1'omamoto, Table 1 Review 1'. Satomi, Dimensions of Physical H, Kuhota of Instruments Chemistry of Japan Vol. 47 No. 1 and T. 14akita used Piezometer a[ 25'C Length Outer diameter Inner diameter Total volume Volume of capill sn• 16.7 cm 1.G cm ].4 cm t 8.2215 cms 0.03616 at 29'C V iscome[er Glass tube Length Outer diameter Inner diameter Plummet Length Diameter 11'eight Volume Density cmr 15.5 cm 1.0869 cm 0.80}2 cm 3.570 cm 0.7607 cm 3.5278 g 1.5199 cms 2.321 g•cm-~ The specificvolume of the sample liquid aas calculatedby the followingequation = I'„(l-ke)-I'c(1-ke)-Qf•ea~pxq) (1) 1'~p,. e•here v :specific volume of the liquid at P bar in cm'•g''. P„ :inner volume of the piezometer Pc :inner volume of the capillary trapped at Ibar in cm', at Ibar in cma. lime :weight of mercury in g, pa :density of [he liquid at 16ar in g•cm-", pue ke :density of mercury at P bar in g•cm''. :compression of Pyres g]ass at P bar. The values of kx and pFte mere cfted from the results of ~damsll The densities pycnome[er Viscosity of mixtures and partly mined principally and Grindley were determined et a!_a) respectively. experimentally by a cited from the handhookS% has been measured by a talking-cylinder viscometer. based on the Stokes ]aw on a rigid sphere The details of the theoretical The schematic of a precisely pressure measurements The viscosity fluid. under the atmospheric diagram falling The viscosity n•as deter in an infinite homogeneous basis are described by Swift et af.5 %> of the viscometer bored Pyrex glass tube equipped employed coasially is given in Fig. 2. The apparatus in a high pressure consists vessel and a glass cylind- 3) T. Grindley and J. E. Lind, Jc, J. CSem. Pkys., W, 3983 (1971) 4) R, H. Perry and C. H. Chilton, "Chemical Engineers' Handbook" (5th edJ \IcGrae~-Hill Kogaku• sha, Ltd. (1973) 5) C, lV. Swift, J. A. Chrish• and F. Kurata, :1. L Ch. E. Jmnrml, 5, 98 (1919) G) J. Lohrenz, G. \V. Swift and F. Kurata, ibid., 6, 547 (1960) i) ]. Lohrenz and F. Kurata, iMd.,8, 190 (1962) (1977) The Review of Physical Chemistry of Japan Vol. 47 No. Specific Volumeand Viscosity of Ethanol-R'ater \lixtures under I3ig6 Pressure 15 rical plummet with hemispherical ends. The ins[m ment dimensions are listed in Table I. A sample liquid was introduced into both sides of [he glass tube though a fine flexible pipe made of stainless steel. The plummet is provided with four small projecting lugs at each end of the cylindrical part, which act as a guide to keep the plummet concentric when it falls. The falling time of the plummet was determined within X0.1 ms by an electronic time-interval counter with the aids of a He \e laser beam passed through a pair of optical windows and a phototransister. gas The viscometer could be rotated on a horizontal axis in order to return the. plummet to its starting position. The temperature of the sample e•as maintained constant within x0.05°C by circulating a thermostatic duid through the jacket around the pressure vessel and measured by a thermister device. The pressure was meas- ured by a 6ourdon gauge n•ith the same accuracy asthe case of P-V-T measurements. The falling time ranged from 5 to 20 seconds according to the change of the viscosity of samples and was measured about 20 times at each experimental condition. 'The mean reproducibility of the falling time is within 0:5%. The arithmetic mean values nere taken as the final values. Due to the geometric effect of the plummet and the wall effect of the glass tube, the stokes law is not valid strictly for afalling-body otber than a rigid sphere in an infinite homogeneous fluid. 'therefo re. the calibmtion of the present viscometer is required with fluids of known viscosity. The basic equation at the falling-body viscometer is as follows where r :viscosity of a liquid at P bar irr l0'sPa•s, p :density of a liquid at P bar in g~cm ', pe :density of the plummet a[ P bar in g•cm'a, 7 :falling time in s. The instrument constant ti and its change with both temperature and pressure were determined based on the experimental viscosity values under the atmospheric pressure obtained by an O;twald viscometer and the standard viscosity values of water correlated be the International Association for the Properties of Steam sl The densities of mixttres were calculated from Eq. (3) obtained in the present work. R'hen the resistance iactorsl is plotted against the Reynolds number in logarithmic coordinates. the calibration curve is found to be a straight line with a slope of about - 1. This me.•tns that each measurement was carried out in a laminar flow region with lower Reynolds number than 0.5 throughout the experimental Condition. Materials Extra pure ethanol was obtained from N'ako Pure Chemical Industries, Ltd. The reported purity is more than 99.5% in vrolume. Ethanol and water tsere purified several times by the frac• floral distillation. The mixtures of ethanol and water were prepared by weighing. using an analytical balance wfth a sensitivity of t0.tmg. Therefore their composition, mole fraction of ethanol, should 8) .International Association for the Properties of Steam, "Dynamic Viscosity of water Substance" 'the Eighth International Conference nn the Properties of Steam , Glens, France (t9i;) 1 (1977) The Review of Physical Chemistry of Japan Vol. 47 No. 1 (1977) l6 T. Tanaka, be substantially accurate T. Yamamoto, within 0.01 %. Uncertainty of experimental results Y. Satomi, H. Kubota and T. Makfta The numerical data of the specific volume and the viscosity obtained contain a definite uncertainty resulting from several sources of experimental errors. The main sources and their portions in the final values are estimated as follows (Specific e•olume measurement) Error source Uncertainty emttribnting to Temperature =0.001 % Pressure y--0.01% Composition of mixture =0.01 % Piezometer volume =0.01% (Viscosity iwfeasurement) Error source LSxerfainfy cortlribalirag fo r Temperature Pressure Composition of mixture Falling time Density Instrument constant, li .0.1 % =0.01 % ±0.02% x-0.5% x-0.01 -r1.0% Taking into account the above estimations, the uncertainties probable in the present measurements may be less than 0.05% for the specific volume data and 2.0% for the viscosity data. This fact has been verified satisfactorily by the comparison with the reliable data of pure components by other authors, as partly described below. Results P-V-T and Discussions data Table pressures 2 lists the measured up to 3200 bar. P-C-T relations X is the mole fraction for ethanol-water of ethanol mixtures in the mixtures. at 25' and 50'C under The results are also plotted in Figs. 3 and 4 together with the previously published data for mixtures for comparison. The specific volume decreases monotonously pressure throughout present results [he experimental agree quite conditions at each compwitiop well with the values given of mixtures. pure with water and increasing .4t 25'C, the by Kell ed alsl and Grindley eE als) for pure water up to 3000 bar and those of \foesveldto] for mixtures up to 1500 bar. However, some discrepancies between the present work and the recent report of Y"usa e! al.tt~* are found to be up 9) 10) If) a G. S. Kell and E. 1Vhalley, Phit. Trans. Roy. Soc. London, A258, 565 (1965) A. L. bfoesveld, Z. Pbys. Cke,n., t0.5, 450 (1923) M. Yusa, G. P. Wathur and R. A. Stager, J. Cbem. Eng..Dala, 22, 32 (1971) This report was published recently after the completion of experimental part of this study. The Specific ~bfume Table 2i°C P(bar) 2 and Viscosit} • of Ethano]-1Vater The Specific Volume i0°C of Physical Mixtures oT Ethanol-Water 2~ C 50'C P(bar) v(cm3/B) P(bar) v(cm3/g) n(cm3/g) Review P(har) nr(cm3/g) under Chemistry High l.o 91. 7 172, ] 250. 1 331.9 102.0 675.3 763. 6 899. 9 10322 1313.2 1917. 9 1762. T 2107.4 2452.? 2796.9 3136. 6 1.00293 0.99881 0.99515 0.99193 0.98412 0.98177 0. 9T543 0.97256 0.96770 0.96281 0.95343 0.95008 0.93976 0.9315] 0.92176 0.91390 0.90665 L 0 1. olz l9 1.00621 14],e 1.00286 226.6 310.5 0.99988 0. B98T i 341.2 41].1 0. 99623 0. 99500 4]8.2 0. 99335 488.9 0. 99215 515.8 56;.4 0. 98943 623-1 0.98791 631.8 0,98T50 668.0 0.98579 0.9 B4fi9 692.2 0.98404 ]23.] 0.98049 832,} 931.3 D. s7sss 1039. ] D. 97328 1110.9 0.97010 1242.1 0.96804 123},]0.96604 1345.5D-96369 1348.30. 9G369 1555.8o. 9sits 0.95257 T2}.81 1ifi2.7 0. 95Da3 1soo. s 0: 99720 2IO i.4 0: 991 B4 2245.3 0. 93]d1 3452.20. 93321 2586.fi0.93950 2963.9D. 92211 3138.20.91853 X=0.10 1.0 63.9 1i5. T 223. 5 288, 1 345.9 914. 0 480. B 555.1 625.2 690.5 695. 7 723.1 831. T 903- B 1043.6 I OT3,2 1177.3 1318.0 2073. 0 2245, 3 2421. 2 2590. 1 2796.9 2934.8 1.03812 L. 03513 1.03185 1.02866 1.02609 1.02393 1.0218] L OIB82 1.01619 1.01347 1.01092 1.01110 L OI014 L 00693 1.00483 0.99990 D. 99tl tl3 0.99,529 0.99166 0.98929 9.9661} 0.96069 0.85702 0.95178 0.94871 1.0 207.3 286.} 341.3 122.3 483.0 554.4 622. 8 690.5 940.1 1073.2 1084.1 1210.6 1 ]62. ] IB97.1 2107.4 2}}B, ] 2798.5 3138.2 1.05713 1. 04839 1.0450] ].04200 1,03915 1.03663 1.03366 1.03065 ].02802 1.02052 ]. O16T5 ].01598 1.01262 0. 993flfl 0.99032 0.98619 0.9]125 0.96835 0.95!51 l.o 6;. o m 1.1 xs1.2 339.9 ;21.3 485,J 128.9 762. 8 90>. 5 042. 4 1173.2 1175. 9 1316.9 1917.9 1162.7 1900.6 2073. 0 2295.3 2466. B 2796.9 293;.6 3141.7 1. 07120 06686 06128 05717 05546 05153 04879 03935 03766 03250 02712 oz2zs 02306 01797 01504 00495 00103 9ssso salsa 98669 9T16fi 97440 96914 ~. 1. 1. 1. 1. 1. 1. I. 1. ]. 1. 1. 1. 1. i. 0. 0. 0. 0. a. 0. 1.09616 1.08192 1.0]900 1. Oi971 LDL 20 1. Ofi844 1.06491 1.06274 1.0569] L D5043 1,04701 1. wssT 1.04209 1.04214 1 03784 L D3492 1.02964 1. oz4v ].m fins 1.00962 D. 99831 0.98536 X=0.40 L0 90. 3 196.4 261.9 360.6 ; B6. 8 55;. 1 622.8 69J.i 767.0 901.7 1039.0 1073.2 1177.3 1211.1 1316.9 1762. i 210 T. ; 2436.2 2796.9 3145.1 3J 96.4 t t 1 7 I 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 13699 12981 12631 11744 11278 10546 10114 09737 09333 09108 OBi18 010]8 07669 O7289 Oi124 DG731 OsOfiO 03945 02893 01900 00994 00209 1, 0 199.5 281.9 354.3 416.3 499.0 556.] 624.5 f.9 tl.5 ]99.5 923.9 IOOCS 1211.9 1717.6 1380.0 1562.7 IB9T.1 2G69.i 2686.6 2759:0 2531.1 3103.8 1. ]6660 1.16560 1.19651 1.19113 1.]3708 1.]3219 1.12]55 1.12264 1.11836 1.11195 1.10532 L10148 1.09286 t-088]3 1.08566 1.01949 1.06623 L O6i57 1,09286 1.03590 1.03225 1.02641 t, o 75.7 146.; 205.9 286. 6 380.6 486.1 624. 5 700.5 902.4 1037.2 1073.2 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1893: 18262 17593 I TI07 16453 15782 14988 14012 13668 12667 13(127 11851 1.11178 1.10564 f 762.7 1931. 6 2307.4 2590.1 2796. 2939:8 3191.7 9 I. D 193.0 212.8 278.4 750.6 515.1 988.4 54x.1 628.3 x29.3 868.2 1110.4 1.22263 1. 210fi2 ].20436 1.19923 1.19298 1,18818 1.18280 1.11634 1.17079 2.15128 1.14709 1.13813 li 1.10045 1.08713 1. D7992 1.07573 ].05954 1.05212 1.04668 1.04173 1247.2 3320.7 1380. 0 1552.4 189].1 2069.5 22{1.9 1.13121 1.12]41 1. lzzze 1.11543 1. wssl 1.09238 2414,3 1. OB6i8 1,08144 2566..6 2759. 0 1.0"440 1. 0702 2931.4 3]03.9 1;06175 1.0 210.7 279.5 348.5 a]s.e aei.s 557.2 626.9 699.5 793.6 921.8 968.2 1062.5 110],6 1236.4 1337.3 IT24.B 189 i.i 2241.3 2414.3 2566.6 2759.0 2931.4 3]03.8 t. 27115 1.05931 r-o.6a ]. a 75. 0 t 53,0 213.9 274.6 41 s.e 9 ]9.i sl e.z fi00.3 762.5 906.9 1037.2 1073.2 1176.0 1313, 8 ]417.9 1621.3 18921 2241.9 2452.2 2655.6 2796, 9 2934.0 3191.7 3486.4 1.23352 1.22518 1.21645 1.21105 1.zoa7T 1.1 szD5 1.166]5 ].18407 1.17811 1. 16775 1.15864 1.15069 1.14846 1.14274 1.13548 !. !3025 1.12114 1. ID BD4 1.09553 L. 08841 L 08158 L 07764 1.07325 1.06874 1.05685 1.24579 1. 23797 1.23114 ]. zzv7 l.vm 1.21196 1.20{65 1. 19987 1.192]4 L 16502 1.17942 L IT379 1.172]2 1.16505 1.15908 L 13888 1.13709 ].11583 1.10959 1.102]5 1.09635 1.09006 1.08704 X=1.00 1.D 1.27353 7D. 1 1.26193 139. 5 208.7 352.6 1.25663 1.24833 a 85,1 821. i 761.1 Lzls3e 1.20631 632.0 1.19235 1.18818 899.3 t 038.6 .C=0.60 Pressure 25'C 50`C P(har) v(cm3/gJ P(bar) (cm3/g) 1314.7 1417.9 1,0 277.7 319.0 413.0 994.7 661.3 636,9 696.4 831.0 9]1.0 1073.2 19fi6.1 1207.6 1216.9 1329.4 1380.0 1552.4 11sz.1 t9s7.1 2241.9 2586.6 313 fl:2 Vol. 47 No. Mixtures ]181.9 .Y=0.20 X-0.00 of Japan 1.23711 1.19750 1176.2 1.17es7 1.16965 1313.8 1317.9 1.16192 1.15518 1621.3 1762.] 1762.] L 13523 L 13943 193 L 6 2107.4 2102 4 2276.9 2314, 3 2655.6 1.13961 L 13212 1.1273} 1.12}38 L 11Ta9 L l 1268 1.10236 1. 0 141. 9 211.1 263. 6 397. B 421.3 983.3 551. 0 625.2 694.3 762, 5 ]039.0 !175.9 1317.6 1552.4 1897.1 2069.5 2247.9 2414.3 2588.8 2759.0 2931.9 3103.6 1.31207 1.29134 1.28152 1.21198 1.26767 1.25453 1.24948 1.24297 1.2365fi ].22947 1.22392 L 20357 1.]9502 1.18682 1.17106 1.15339 i. 14330 1.137]5 1.13239 1.12246 1.11828 1.10914 L 10530 1 (1977) The 18 1'. Tanaka, T. I'amamato, Review S, 5atomi, of Physical H. Iiubota Chemistry and T. btak of Japan 47 No. 1 (1977) Vol. ita 1.30 ° o, d'Q' 0° ~ O °b c e0 P° °~ ~. oQ a ~, ° 0 o ° Q a ,~ 1.10 oa °o ° ° o 4~ p~b b° °E ° ° oOo 4 ° ° o 1.00 •o~ i.2 - 0 Ev E 0 a °° ^° ~~6 a~ °° o~ ° ~e O~ o° ° o, °^ °° oPo ° o° °° ° o° °~ ° ~ m t.1a x EIOll o~ , o ° . ° P ° o 0 4 • o° 0.8 o 40 .o~ ~ 0.2 ° 0.1 o • 2000 ° O.fi 0 0 0.4 ° o a 1000 °° ° 0 Eu E 0 ~e .V .0 °• 0 0 l 1.I0 an 1.00 °p to 0.4% ° .0 ° °° ° ° O° ° 06°O.g° ° 0.4° o ° o 0 ° ° 0 .2 ~ °° 0,1 = ° a° o 0°°+Oa 0.90 3000 0 IOOD •a° 1000 3000 Pressure/bar Fig. Pressure dependence of the specific .•olume of ethauof-water mixtures at i0'C C1; This work. *: 3), ~: 9) 4 Coefficients of the Specific 5~ Volume Isotherms (Pin harj r'=A~ tA2Pt.faP~+A~P3 i'=At t. so ° 1 ° ° ° volume of ethanol-water mixtures at 2i C C: This work, *: 3), ~: 9), x:10), /:I1) 25 £tnx ° o Wdt ef °<,e~ ' ° Pig. 33 Pressure dependence of the specific Temp. (°C) x °D °OpOp o o°a °° ~° ° Pressure/har Table 3 50'C o 50 •op [Va~ O er ~ . 0.90 ° o oo ~ 1.30 zs•c 00 t asP+ ~'IFX IQI6 Afas. llev, ~~o~ :12k 10~ :12 % 10a 0 1002799 - 0 .87462 0.8722b 0.023 0.084 1.03802fi 0.89155 - 2 .45fi6i 3.2101 0.022 0.079 o.zo 1.071118 -0 .443342 -0 .436395 -0 .497623 0.62fi552 o.~o 0.856201 - 0 .95734 0.024 0.071 o.ao 1.136153 2.320940 - 6 .04088 6.701070 0.025 0.07A 0.60 1.13933( -0 .144170 -0.943990 3.22?030 - 7.910364 7.73$71 0.031 0.114 0.80 1.232849 -1.103108 3.181940 - 9 .09383 9.1 / 881 0.043 0.124 1.00 1.273663 -1 .303024 4.16.938 0.028 O.OHi 0 0.10 0.20 0.40 0.60 0.60 L00 1.012369 0.54"835 - 0.031 O.Oi 1 0.836348 - O.SSi i2 1 .20089 1.26276 1.057173 -0 .4252248 -0 .460342 O.OiI 0.143 1096419 -0 .558459 1.121898 - 1.10525 1.91894 0.038 0.099 1.167762 ?.400286 - 3 .64916 0.092 0.279 1.213160 0.553410 -0.903382 1.101615 2,52140 0.052 0.203 1.271486 -1.343178 5.624636 20.78308 0.039 O.1I0 1.311651 -1571652 6.942738 -16 .81337 -20 .77829 25.21906 0.069 0.224 at high ethanol water are exists no data on mixtures in good mole agreement fractions leith available and high the values in literature :Il X (012 Ave. Dev, ~~~ ~~ 11.0980 pressures. of Kell As for 60`C, et aJS> and for direct -7.12415 the present Grindley comparison results et al.31 However with the present worl. for pure [here The Specific Volume and Viscosity Table 4 i0 For each pressure temperature of Elhanol•Nater Coefficients Mixtures under Chemistry High 0.00 2751 0.2911 o.w 0.07 0.10 3121 0.2989 o.oa o.lo 0.20 2283 0.2511 o.os o.lo 0.40 1552 0.2308 O.Oa 0.18 0.60 I l3i 0.2f79 0.07 0.19 0.80 nR9 0.21 i9 0.03 O.OR 1.00 7iR 01061 0.06 0.13 0.00 3311 0.3241 O.Oa 0.08 0.10 1952 0.2881 0.03 0.11 0.20 2401 0.2792 O.Oa O.li 0.40 1331 0.2504 0.09 0.11 0.60 I ilO 0.2686 0.07 0.19 0.80 92l 0.2282 0.05 O.li 1.00 i90 0.2279 0.03 0.1 i quartic Vol. 47 No. t9 of the Tait Equation Ave. Dec. (4i) the of Japan Pressure C(-J and composition by the following of Physical R (bar) Temp. (•C) 25 Review specific \fax. Dec. (,.°o) daL3 data are correlated n volume as a function of equation (3) and the Tait equation Clogl8}t ~ where ~o is the specific volume coefficients were the average and the maximum determined polynomial equation gives at the atmospheric is pressure 6y the least deviations a better squareses method of the fit to the and P the as given experimental data ~ in in general, general, (4) data the the press pressure in Tables Tab in bar. 3 and The 4 together from the th formulas. isothermal isothermal liT=-vv ~ ~0o ~T ~T empirical although with the compressibility (~) is calculated by the Tait equation because the polynomial polynomial equation equation som sometimes gives unexpected behaviors by the diiieren[iation. The functional1 dependences of the isothermal isoth compressibility nn composition are shown in Figs. 5 and 6 at 25° and i0`C, 50`C, respectively. It is found [hat a detinite minimum exists near x=O.l on the lower pressure re isobars than 2000 har. tzar. As ~1 well known in the case of pure water. the isothermal compressibility has as a minimum near 50'C on / the isobars lower than age o; low ethanol composition, and disappears a~i[h 2000 bar. This anomaly could be seen in the range composi increasing composition near x=0.1, where the isothermal othermal compressihility compressibility is independent of temperatore under each pressure. Furthermore, it seemss that another inflection might mi occur at higher mole fraction of ethanol near x=0.7 on the low pressure sre isobars. (Concerning this th. second inflection, more detailed experimental results will be reported in the near future.) Yusa e! et a/!» al, have found the similar 1 (1977) J The ?a 1'. Tanaka, T. Famamoto. Review Y. Satomi, of Physical H, Kubota Chemistry and T. Makita i Composition of Japan Vol. 47 No. 1 , ~r bac 25°C I0.0 0T a d n 5.0 Ea n E s 0 bOpbar ~ 1000 atbatb ~I f•~ Fig, or 201N1 bar o3000 b dependence of [he isothermal rompressibilit}• of ethanol•n~atermistures a[ 2i`C under high pressure ar 0 0 0.7 o.a Mole 0.6 fraction 0.8 t.a of ethanol bar a 0 T 50'C 10.0 L v6 s 0 Ae 600 bar o' 5.0 11 .~~ °J~~o 1000 2000 o-~c 0 3000 Fi¢. Composition dependence of the isothermal compressibility of ethanol-water mis[ures at 50°C fi ab l bar under high pressure har v 0 A O " 0 phenomenon attributed 0.2 0.4 0.6 0.8 Bole fraction of ethanol in his isothermal compression to complex interactions 1.0 versus composition between the hydrogen-bonded isobars. n•ater anomaly would be and the bifunctiohal These nature of alcohol molecules.12~131 Viscosity The viscosity of ethanol-water mixtures raw data are tabulated in Table compared of composition l2) l3) l4) 15) 16) l7) IS) l9) 20) 21) 22) as a function has been measured 5. Values of the tdscosity at 25` and 50`C up to 800 bar. The obtained to other data available at the atmospheric in literaturel+`~7 pressure are in Pig. 7. The cis- F. Franks and D. J. G. Ives, Oxarl. Rev., 3Q I (19fi6) G. Ne'methy and H. R. Scheraga, 7. Chern. Phys., 36, 3382 (1962); ihui., 36, 3401 (1962) J. Tranbe, sar., i9, sn (lass) .a. E. Dunstan. Z. Plrys. Cheru., 49, 590 (1904) E. C. Bingham. G. F. White. A. Thomas and J. L. Cadwell, Z. Plrys. Chem., 83, 641 (1913) V4'.Herz and E. illartin, Z. anorg, allgem. Chem., 132, 41 (1924) 5. W. Sabnis, W. V. Bbagwat and R B. tanugo, J. Indian Chere. Soc., 25, SiS (1948) 31. Kikuchi and E. Oikawa, Nippon ICagahaZarshi, 88, 7259 (1961) R. L. ICay, J. Solafim+Chenr., 5, Si (1976) E. L, Lederer, (Coll. Reih., 34, 270 (1932) :1. 9basaade, V. A. Agaev and A. DI. Cierimov, Rxtt. J. Plryt. Gram., 45, 1517 (19i 1) (1977) 7 The Specific Table 1` Temp. ('CJ F (bar) and Viscosity of E[hanol-Naler \`nlume Review of Physical Chemistry Vol. 47 No. of Japan Dfixlures under High Pressure 21 The Viscosity of Ethanol-1Va[er '.Mixtures (10-sPa~s=cP) i 0.00 0.20 0.30 0.40 _>i 50 25 50 15 50 25 50 1 0.8911 O.i468 2.331 1.060 2.314 1.108 1.148 1,072 98 0.8891 0.3456 1.400 1.134 2.407 1.155 2.249 1.146 196 0.8882 0.5104 2.461 1.136 2.481 1.1 h8 2:352 1.166 29a 0.3872 O.ii22 2.SOG 1.17 i 2,159 1.211 z.as9 1x14 392 0.8866 O.iial IS6i LIST 2.638 1.249 2.527 L26a 490 0.8864 OSi6l 1.601 L200 2.703 1.275 2.611 L 293 589 0.8866 O.ii83 2.666 1.131 2.171 1.341 2.102 1.333 686 0.3322 2.701 2.845 2.779 iS5 0.8881 2.771 2.939 2.88a .Y Temp, (°C) P (bar) 25 O.GO i0 0.78 25 osa so ,.~ 25 i!) 1 1.740 0.9405 1.423 O.SIOI 1.081 0.6881 93 1,843 1.029 1.513 O.Siii 1.110 O.i 473 196 ].9+t 1-039 1.614 0.8339 1?46 0.7758 291 2.031 L113 1.703 0.9397 1.326 0.3379 392 2.131 1.166 1.300 0.9969 1.397 O.R800 190 2.220 LIS2 l.ais L.D13 L4ii 0.9261 189 2.330 1.231 1966 1.051 L517 0.9682 686 2.389 2.052 1.6t3 755 2.131 2.IOi 1.691 3.0 e 9 ~ r :.a a e T .e 50'C ~o g ~.~ 2SC ~o ~w Fig- Q ,~ ~~ 7 Composition dependence of the viscosity o[ ethanol-water mixtures at 2i' aad 50'C at the atmospheric pressure ~: This work, ~: ll), ~: Id), ~ a~ ~ : 19). O : 20).0: 20. O: 22) a 0 cosity data temperature. display 0.2 dole 0.4 fraction a maximum Agreement 0.6 0.8 of ethanol at a composition of the. data among L0 from researchers 0.2 to 0.3 mole is comparati.~ely fraction of ethanol at each good at 25°C, except the 1 (1977) r The 22 l'. Tanaka, 2SC T. S'amamota, x 1' . Satomi, X0.3 --_ -__ ~ N W of Physical H. Kubota Chemistry 0.4 0. 1 (1977) and T. \fakita S ~ . ,r p.8 __~_" FiR, b "-__ z.a ,r'__ Vol. 47 No. ~~ U1 - _- _ TO of Japan --"`~` __-' 3.0 O Review _~_.~I.U Pressure dependence o1 Che xiscosit.• of ethanol-water mixtures at 25°C Ethanol ~: 7 11), ~: 23) i.o a soa isoa iooa Pressure/bar so•c 1.5 "o•y-'~ 0.2~6.~ ;e~ 0.2 _-~a A 0. Fig. 9 0 T O ~- 1.0 _- Pressure dependence of the viscosity of ethanol-water mixtures at i0°C ;~: This work, ~: S), • : 22). ~ : 23) ~~ 7 0 Water 0.5 0 results 500 Pressure/bar reported Inconsistency 1000 be Yusa et al.,~~~ whose data are about -4~ higher than others near the maximum. of the data is found to increase at 50'C, where the largest deviation between the data of Sabnists~ and those of Traubet+> is about 13% near x=0.z. The viscosity data obtained at high pressures are also compared with those in literatures. The pressure effects on the viscosity are shown in Figs. 3 and 9 together with the results of ~baszade et alsz7 and Yusa et al.tty for mixtures and those of Golubev e! aL~~ for pure ethanol. Figs. S and 9 include partly interpolated data to the same compositions by a graphical method, because the previous data under pressures available for a direct comparison are limitted. It is found that agreement among the four sets of data is rather good at low pressure;. pressure.: serious inconsistency but that the discrepancy is found in the results for pure ethanol 23) I. F. Golubev and V. A. Petrov, Trudy GL1P, \o. ?, 5 p9i3) increases withincreasing In the results of Yusa eE The Specific Volume and Viscosity Review of Ethanol-Water of Physical Mixtures under Chemistry High of Japan Vol. 47 No. Pressure ?3 af.,tt} thepressure coefficient ofviscosity, ~P ~.,forethanol israther small at25°C, while the data of Golubev et af.'af and the present work give an obvious positive pressure dependeaces. The viscosity of the mixtures increases abnost linearly with pressure; whereas that of water is almost independent of pressure in this pressure range. The viscosity isotherms in this arork cna be represented by a quadratic equation of pressure. B=Br + BeP} BaPr where ~ is the viscosity in 10-'Ya•s (=cP) (G) and P the pressure in bar. The coefffcien[s for each mixture are determined by the least squares method and listed in Table G with theaverage and the maximum deviations. The composition dependence of [he viscosity under high pressures is shown in Fig. 10. Each isobar also exhibits a maximum near the composition z=0.3. The maximum shii[sslightly ethanol fraction with increasing pressure or temperature. to higher Conclusion This paper represents the raw experimental data on the specific volume and the eiscosicy of ethanol-water miz[ures as functions of temperature. pressure and composition. This basic information would be necessary to solve the complicated behavior of ageous solutions of hydroxycompounds, which are yeCinadequately wtderstood.However, the temperature range is narron- in the present measurements,.and more detailed measurements is thought to be needed fully near the composition where the anomaly appears. Furthermore; the relationship between the equilibrium (thermodynamic)properties aad the non-equilibrium(transport) properties should be derived, especially as for the appearance of anomalies, as well as in the case of aqueous solutions of other alcohols. Table6 Coefficients of the ViscosityIsotherms:n=B,+BzP+N3PrtP in bar) Temp. ('C) l" 0.20 25 50 B, 2.34083 Liz x 10+ BB x 108 Ave. Dev, (,.°o) Alac. Dev. (.°o) 5.83501 - 6 .0312 0.25 o.4i 1 .31 i 0.25 o_4i 0.3i 0.30 2.32078 8.15612 - 0.40 2.li289 9.86471 - 3 .620 0,24 0.60 1.74644 10.0016 - 3.1239 0.41 1.ZI 0.78 1.41928 10.3408 0.24 0.>3 1.00 1.08861 8.16148 -18 ,7226 - 6 .331 0.16 0.3fi 0.20 1.08858 3.1009 -13.262 0.74 1.49 0.30 1.11481 1:644G8 0.60 1.13 0.40 1.Oi 846 1.2 t 148 18.153 -15 .191 0.53 ].Si 0.60 0.94929 6.1578 -31 .312 O.Si 1.i9 0.80 0.80963 4.11241 0.6G 1.3fi 1.00 0.690264 5.07855 6.664 5 .883 0.44 1.12 - 1 (1977) 3 The 2-0 T. 1'amamMO, 1'. Tanaka Review Y. Satomi, of Physical H, Rubola Chemistry of Japan Vol. 47 No. and T. ~lakila 3.0 ` 9 ~~ R \ 8 ~\ 8J.~a ~ 6 ?>'C z\o \ '6~~\~ 2.0 A 0 .e Fig. Composition dependence of the viscosiq~ of ethanol-eater mixtures at 25' and >0'C under high pressure I: 1 bar, 2: 98 bar, 3: 196 bar, ~: 294 bar, 5: 392 bar, 6: i90 bar, i0'C is 389 bar, >` i 8: 686 bar, 9: 785 bar Pa _ 8 ~ b~9 ar 5~ 3 a 0.2 1.0 10 1 Pb~a 0 0.2 \lole O.i fraction 0.6 0.8 1.0 of ethanol Acknowledgment The authors wish to thank D4r. Akihikb Ogiho (Bridgestone Tire Co., Ltd.) and Dlr. Sadao Yabu (Dlatsushita Electric 1Corks, Ltd.) for their careful experimental nrorks, and are also indebted [o Miss I:aori Pujishi[a w•ho performed helpful work in the preparation of [his paper. Depurh+rentof C4emical Engirreerireg Fatally of Engineering Psabei'uiaersity %be 657, Japan 1 (1977)
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