PHYSICAL CHEMISTRY
Unknown
Submitted 1963-01-01 | RussiaRxiv: ru-196301.22916 | Translated from Russian

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PHYSICAL CHEMISTRY

N. A. AGAEV, I. F. GOLUBEV

VISCOSITY OF n-HEXANE IN THE LIQUID AND GASEOUS STATES AT HIGH PRESSURES AND VARIOUS TEMPERATURES

(Presented by Academician V. A. Kirillin on 20 III 1963)

In the previous article (¹) the layout of the apparatus, the construction of the instrument—the viscosimeter—and the experimental procedure were described. The results of measurements of the viscosity of n-pentane at high pressures and various temperatures were also given there.

In the present article we give the results of measurements of the viscosity of n-hexane over the temperature range from 15 to 275° and pressures from 1 to 500 atm, which were carried out on the same apparatus; however, the glass viscosimeter had somewhat different geometrical dimensions, namely: capillary radius 0.005312 cm; volume of the measuring bulb 0.5775 cm³; volume of the preliminary bulb 0.6711 cm³; capillary length 5.44 cm; difference of mercury levels at the beginning of outflow 7.48 cm, at the end of outflow 5.09 cm; mean height of the mercury column in the viscosimeter during outflow 10.31 cm.

Fig. 1. Viscosity of liquid (a) and gaseous (b) n-hexane at atmospheric pressure and various temperatures according to data of various investigators. The numbers in the figure correspond to the numbers of the cited literature. 1 — authors’ data

Fig. 1. Viscosity of liquid (a) and gaseous (b) n-hexane at atmospheric pressure and various temperatures according to data of various investigators. The numbers in the figure correspond to the numbers of the cited literature. 1 — data of the authors

There is a very limited number of works in the literature on the viscosity of n-hexane, both for the liquid and for the gaseous state, especially at high pressures. The viscosity of gaseous n-hexane at atmospheric pressure was determined by the capillary method by Titani (²) over the temperature range from 120.7 to 306.6° and by Graven and Lambert (³) by the oscillating-pendulum method over the temperature range 35–77.8°.

The viscosity of liquid n-hexane at atmospheric pressure was measured by the capillary method by Shepard, Henne, and Midgley (⁴) at 25°, by Gartenmeister (⁵) at 20°, by Geist and Cannon (⁶) at 0, 20, and 40°, and by Gillam and Drickamer (⁷) over the range from −98.5 to +20°. It may also be noted

and the earlier work of Thorpe and Rodger ($^8$), carried out by the capillary method in the range from 0.8 to 63.6°.

A comparison of the data on the viscosity of $n$-hexane by the investigators listed with the data obtained in the present work is presented in Fig. 1, from which good agreement is seen for the liquid and gaseous states. At high pressures the viscosity of $n$-hexane was measured by Bridgman ($^9$) by the falling-weight method at 30 and 75° and pressures from 1 to 12,000 kg/cm². Khalilov ($^{10}$), using the capillary method, measured the viscosity of $n$-hexane on the saturation line from 20 to 220°.

For our investigation we used $n$-hexane from the Novocherkassk Synthetic Products Plant, which had the following characteristics: specific gravity $d^{20} = 0.6595$ g/cm³, refractive index $n_D^{20} = 1.3752$, and boiling temperature $t_{760} = 69.00$. This technical $n$-hexane was subjected to additional purification. First it was treated with sulfuric acid to remove impurities of unsaturated hydrocarbons, a small content of which was detected by chromatographic analysis.

Further, the $n$-hexane was distilled on a rectification column, with the middle fraction being collected. After purification the $n$-hexane had the following characteristics: specific gravity $d^{20} = 0.6592$ g/cm³, refractive index $n_D^{20} = 1.3749$, and boiling temperature $t_{760} = 68.88^\circ$. According to the most reliable literature data ($^{11,12}$), for pure $n$-hexane $d^{20} = 0.66937$ g/cm³, $n_D^{20} = 1.37486$, $t_{760} = 68.7^\circ$. As can be seen, there is good agreement. Chromatographic analysis of the product showed a content of $n$-hexane of 99.8% by weight.

Fig. 2. Viscosity of n-hexane as a function of temperature at constant pressures

Fig. 2. Viscosity of $n$-hexane as a function of temperature at constant pressures

The results of our measurements of the viscosity of $n$-hexane are collected in Table 1. The experimental data were graphically smoothed, as a result of which Table 2 was compiled for the coefficients of dynamic viscosity at constant values of temperature and pressure, and also Table 3 for values on the saturation line. For greater clarity, the general picture of the dependence of viscosity

Table 2

Viscosity \((10^{-7}\ \mathrm{g}\cdot\mathrm{cm}^{-1}\cdot\mathrm{s}^{-1})\) of \(n\)-hexane (smoothed values)

\(p,\) atm 25° 50° 75° 100° 125° 150° 175° 200° 225° 234.8° 250° 275°
1 24300 23300 735 796 850 907 965 1014 1072 1090 1124 1177
5 29410 23440 19400 15980 13100 931 983 1038 1105 1111 1144 1198
10 29600 23600 19520 16050 13230 10840 1065 1096 1150 1157 1186 1235
15 29760 23730 19670 16190 13360 10940 8610 1211 1230 1240 1253 1285
20 29920 23880 19820 16300 13480 11110 8770 6655 1281 1360 1354 1355
25 30100 24040 19980 16430 13600 11240 8920 6875 1647 1550 1470 1452
28 30200 24130 20000 16500 13700 11280 9010 7008 4800 1755 1610 1570
29.62 30250 24190 20070 16560 13700 11330 9050 7111 5075 2720 1730 1600
36 30430 24330 20200 16680 13830 11460 9220 7299 5480 4600 2590 1900
40 30600 24500 20330 16800 13950 11600 9360 74800 5780 5052 3480 2380
50 30910 24770 20580 17040 14200 11830 9600 7750 6220 5638 4480 3200
60 31250 25070 20340 17300 14420 12400 9880 8091 6580 6043 5070 3840
80 31960 25700 21340 17840 14910 12580 10380 8651 7170 6687 5830 4860
100 32640 26310 21850 18320 15330 12920 10840 9180 7680 7216 6430 5250
150 34320 27750 23080 19470 16470 14030 11980 10260 8816 8349 7584 6506
200 35980 29180 24350 20610 17600 15100 12960 11240 9758 9245 8520 7465
250 37610 30650 25560 21730 18680 16170 13950 12180 10670 10200 9472 8350
300 39350 32100 26800 22890 19780 17240 14950 13070 11500 11050 10290 9232
400 42700 35080 29860 25140 21900 19250 16840 14780 13130 12590 11810 10680
500 46130 38140 31990 27440 24000 21200 18640 16400 14630 14040 13190 11950

Graph of \((\eta_{pT}-\eta_T)\) versus density for \(n\)-hexane. The ordinate is labeled \((\eta_{p,T}-\eta_T)\) in \(10^{-7}\ \mathrm{g}/(\mathrm{cm}\cdot\mathrm{s})\), and the abscissa is density \(\rho\) in \(\mathrm{g}/\mathrm{cm}^3\). The legend identifies temperatures 25°C, 50, 75, 100, 125, 150, 175, 200, 225, 234.8, 250, 275, and “Schinnos.”

Fig. 3. Dependence of \((\eta_{pT}-\eta_T)\) on density for \(n\)-hexane.

Table 3

Viscosity of n-hexane on the saturation line \((10^{-7}\ \mathrm{g\cdot cm^{-1}\cdot sec^{-1}})\)

\(t_s,\ ^\circ\mathrm{C}\) 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 225 230 233 234.8
\(p_s,\) atm 1.03 1.40 1.85 2.42 3.10 3.98 4.89 6.06 7.38 8.94 10.09 12.67 14.97 17.56 20.49 23.81 26.00 27.57 28.80 29.52
\(\eta_s\) (liquid) 20,010 18,350 17,030 15,870 14,790 13,580 12,510 11,530 10,590 9,720 8,880 8,410 7,310 6,550 5,890 5,120 4,860 4,230 3,770 2,720
\(\eta_s\) (vapor) 730 754 778 802 830 861 895 932 974 1,022 1,077 1,138 1,213 1,306 1,423 1,586 1,728 1,885 2,100 2,720

The dependence of the viscosity of n-hexane on temperature at constant pressures is shown in Fig. 2.

The error of the experimental data, determined by us on the basis of the general theory of errors, is estimated as \(\pm 1.0\%\) for the liquid state, \(\pm 2.0\%\) for the gaseous state, and \(\pm 3.0\%\) near the critical point.

Figure 3 presents the dependence of the viscosity of n-hexane on density in the coordinates \((\eta_{p,T}-\eta_T)\)—\(\rho\), where \(\eta_{p,T}\) is the viscosity at the given pressure and temperature, and \(\eta_T\) is the viscosity at the same temperature and atmospheric pressure.

The density values were taken from works \(^{(13-16)}\). As is seen from Fig. 3, all the experimental data on the viscosity of n-hexane as a function of density for the temperature range from 25 to 275° and pressures from 1 to 500 atm are well arranged on a single common curve.

Khalilov’s data over the entire temperature interval investigated by him agree satisfactorily with our data; the maximum discrepancy at \(t = 170^\circ\) is 3%. Bridgman’s data agree well with ours at temperatures of 30 and 75° and pressures up to 500 kg/cm². The discrepancy between these data does not exceed 1%.

By the capillary method, the viscosity of n-hexane was measured in the liquid and gaseous states at temperatures from 15 to 275° and pressures from 1 to 500 atm. Values of the experimental and smoothed coefficients of dynamic viscosity are given, as well as graphs of the dependence of viscosity on temperature, pressure, and density.

State Scientific-Research
and Design Institute of the Nitrogen Industry
and Products of Organic Synthesis

Received
19 III 1963

Institute of Power Engineering
Academy of Sciences of the Azerbaijan SSR

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PHYSICAL CHEMISTRY