Vacuum gauges indicate the difference, expressed in inches of mercury, between atmospheric pressure and the pressure within the vessel to which the gauge is attached. For approximate purposes, 2.04 inches height of mercury may be considered equal to a pressure of one pound per square inch at the ordinary temperatures at which mercury gauges are used. Hence for any reading of the vacuum gauge in inches, G, the absolute pressure for any barometer reading in inches, B, will be (B - G) ÷ 2.04. If the barometer is 30 inches measured at ordinary temperatures and not corrected to 32 degrees Fahrenheit and the vacuum gauge 24 inches, the absolute pressure will be (30 - 24) ÷ 2.04 = 2.9 pounds per square inch.
[Pg 118]
[TABLE 19] FACTORS OF EVAPORATION CALCULATED FROM MARKS AND DAVIS TABLES Feed Temp- erature Degrees Fahren- heit | Steam Pressure by Gauge |
|---|
| 50 | 60 | 70 | 80 | 90 | 100 | 110 | 120 | 130 | 140 | 150 | 160 | 170 | 180 | 190 | 200 | 210 | 220 | 230 | 240 | 250 |
|---|
| 32 | 1.2143 | 1.2170 | 1.2194 | 1.2215 | 1.2233 | 1.2233 | 1.2265 | 1.2280 | 1.2292 | 1.2304 | 1.2314 | 1.2323 | 1.2333 | 1.2342 | 1.2350 | 1.2357 | 1.2364 | 1.2372 | 1.2378 | 1.2384 | 1.2390 | | 40 | 1.2060 | 1.2087 | 1.2111 | 1.2131 | 1.2150 | 1.2168 | 1.2181 | 1.2196 | 1.2209 | 1.2221 | 1.2231 | 1.2241 | 1.2250 | 1.2259 | 1.2267 | 1.2274 | 1.2282 | 1.2289 | 1.2295 | 1.2301 | 1.2307 | | 50 | 1.1957 | 1.1984 | 1.2008 | 1.2028 | 1.2047 | 1.2065 | 1.2079 | 1.2093 | 1.2106 | 1.2117 | 1.2128 | 1.2137 | 1.2147 | 1.2156 | 1.2164 | 1.2171 | 1.2178 | 1.2186 | 1.2192 | 1.2198 | 1.2204 | | 60 | 1.1854 | 1.1881 | 1.1905 | 1.1925 | 1.1944 | 1.1961 | 1.1976 | 1.1990 | 1.2003 | 1.2014 | 1.2025 | 1.2034 | 1.2044 | 1.2053 | 1.2061 | 1.2068 | 1.2075 | 1.2083 | 1.2089 | 1.2095 | 1.2101 | | 70 | 1.1750 | 1.1778 | 1.1802 | 1.1822 | 1.1841 | 1.1859 | 1.1873 | 1.1887 | 1.1900 | 1.1911 | 1.1922 | 1.1931 | 1.1941 | 1.1950 | 1.1958 | 1.1965 | 1.1972 | 1.1980 | 1.1986 | 1.1992 | 1.1998 | | 80 | 1.1649 | 1.1675 | 1.1699 | 1.1720 | 1.1738 | 1.1756 | 1.1770 | 1.1785 | 1.1797 | 1.1809 | 1.1819 | 1.1828 | 1.1838 | 1.1847 | 1.1855 | 1.1863 | 1.1869 | 1.1877 | 1.1883 | 1.1889 | 1.1895 | | 90 | 1.1545 | 1.1572 | 1.1596 | 1.1617 | 1.1636 | 1.1653 | 1.1668 | 1.1682 | 1.1695 | 1.1706 | 1.1717 | 1.1725 | 1.1735 | 1.1744 | 1.1750 | 1.1760 | 1.1766 | 1.1774 | 1.1780 | 1.1786 | 1.1792 | | 100 | 1.1443 | 1.1470 | 1.1493 | 1.1514 | 1.1533 | 1.1550 | 1.1565 | 1.1579 | 1.1592 | 1.1603 | 1.1614 | 1.1623 | 1.1633 | 1.1642 | 1.1650 | 1.1657 | 1.1664 | 1.1671 | 1.1678 | 1.1684 | 1.1690 | | 110 | 1.1340 | 1.1367 | 1.1391 | 1.1411 | 1.1430 | 1.1448 | 1.1462 | 1.1477 | 1.1489 | 1.1500 | 1.1511 | 1.1520 | 1.1530 | 1.1539 | 1.1547 | 1.1554 | 1.1562 | 1.1569 | 1.1575 | 1.1581 | 1.1587 | | 120 | 1.1237 | 1.1264 | 1.1288 | 1.1309 | 1.1327 | 1.1345 | 1.1359 | 1.1374 | 1.1386 | 1.1398 | 1.1408 | 1.1418 | 1.1427 | 1.1436 | 1.1444 | 1.1452 | 1.1459 | 1.1466 | 1.1472 | 1.1478 | 1.1484 | | 130 | 1.1134 | 1.1161 | 1.1185 | 1.1206 | 1.1225 | 1.1242 | 1.1257 | 1.1271 | 1.1284 | 1.1295 | 1.1305 | 1.1315 | 1.1324 | 1.1333 | 1.1341 | 1.1349 | 1.1356 | 1.1363 | 1.1369 | 1.1375 | 1.1381 | | 140 | 1.1031 | 1.1058 | 1.1082 | 1.1103 | 1.1122 | 1.1139 | 1.1154 | 1.1168 | 1.1181 | 1.1192 | 1.1203 | 1.1212 | 1.1221 | 1.1230 | 1.1239 | 1.1246 | 1.1253 | 1.1260 | 1.1266 | 1.1272 | 1.1278 | | 150 | 1.0928 | 1.0955 | 1.0979 | 1.1000 | 1.1019 | 1.1036 | 1.1051 | 1.1065 | 1.1078 | 1.1089 | 1.1099 | 1.1109 | 1.1118 | 1.1127 | 1.1136 | 1.1143 | 1.1150 | 1.1157 | 1.1163 | 1.1169 | 1.1176 | | 160 | 1.0825 | 1.0852 | 1.0876 | 1.0897 | 1.0916 | 1.0933 | 1.0948 | 1.0962 | 1.0975 | 1.0986 | 1.0997 | 1.1006 | 1.1015 | 1.1024 | 1.1033 | 1.1040 | 1.1047 | 1.1054 | 1.1060 | 1.1066 | 1.1073 | | 170 | 1.0722 | 1.0749 | 1.0773 | 1.0794 | 1.0813 | 1.0830 | 1.0845 | 1.0859 | 1.0872 | 1.0883 | 1.0893 | 1.0903 | 1.0912 | 1.0921 | 1.0930 | 1.0937 | 1.0944 | 1.0951 | 1.0957 | 1.0963 | 1.0969 | | 180 | 1.0619 | 1.0646 | 1.0670 | 1.0691 | 1.0709 | 1.0727 | 1.0741 | 1.0756 | 1.0768 | 1.0780 | 1.0790 | 1.0800 | 1.0809 | 1.0818 | 1.0826 | 1.0834 | 1.0841 | 1.0848 | 1.0854 | 1.0860 | 1.0866 | | 190 | 1.0516 | 1.0543 | 1.0567 | 1.0587 | 1.0606 | 1.0624 | 1.0638 | 1.0653 | 1.0665 | 1.0676 | 1.0687 | 1.0696 | 1.0706 | 1.0715 | 1.0723 | 1.0730 | 1.0737 | 1.0745 | 1.0751 | 1.0757 | 1.0763 | | 200 | 1.0412 | 1.0439 | 1.0463 | 1.0484 | 1.0503 | 1.0520 | 1.0535 | 1.0549 | 1.0562 | 1.0573 | 1.0584 | 1.0593 | 1.0602 | 1.0611 | 1.0620 | 1.0627 | 1.0634 | 1.0641 | 1.0647 | 1.0653 | 1.0660 | | 210 | 1.0309 | 1.0336 | 1.0360 | 1.0380 | 1.0399 | 1.0417 | 1.0432 | 1.0446 | 1.0458 | 1.0469 | 1.0480 | 1.0489 | 1.0499 | 1.0508 | 1.0516 | 1.0523 | 1.0530 | 1.0538 | 1.0544 | 1.0550 | 1.0556 | |
[Pg 119]
The temperature, pressure and other properties of steam for varying amounts of vacuum and the pressure above vacuum corresponding to each inch of reading of the vacuum gauge are given in [Table 20] .
[TABLE 20] PROPERTIES OF SATURATED STEAM FOR VARYING AMOUNTS OF VACUUM CALCULATED FROM MARKS AND DAVIS TABLE Vacuum Ins. Hg. | Absolute Pressure Pounds | Temperature Degrees Fahrenheit | Heat of the Liquid Above 32 Degrees B. t. u. | Latent Heat Above 32 Degrees B. t. u. | Total Heat Above 32 Degrees B. t. u. | Density or Weight per Cubic Foot Pounds |
|---|
| 29.5 | .207 | 54.1 | 22.18 | 1061.0 | 1083.2 | 0.000678 | | 29 | .452 | 76.6 | 44.64 | 1048.7 | 1093.3 | 0.001415 | | 28.5 | .698 | 90.1 | 58.09 | 1041.1 | 1099.2 | 0.002137 | | 28 | .944 | 99.9 | 67.87 | 1035.6 | 1103.5 | 0.002843 | | 27 | 1.44 | 112.5 | 80.4 | 1028.6 | 1109.0 | 0.00421 | | 26 | 1.93 | 124.5 | 92.3 | 1022.0 | 1114.3 | 0.00577 | | 25 | 2.42 | 132.6 | 100.5 | 1017.3 | 1117.8 | 0.00689 | | 24 | 2.91 | 140.1 | 108.0 | 1013.1 | 1121.1 | 0.00821 | | 22 | 3.89 | 151.7 | 119.6 | 1006.4 | 1126.0 | 0.01078 | | 20 | 4.87 | 161.1 | 128.9 | 1001.0 | 1129.9 | 0.01331 | | 18 | 5.86 | 168.9 | 136.8 | 996.4 | 1133.2 | 0.01581 | | 16 | 6.84 | 175.8 | 143.6 | 992.4 | 1136.0 | 0.01827 | | 14 | 7.82 | 181.8 | 149.7 | 988.8 | 1138.5 | 0.02070 | | 12 | 8.80 | 187.2 | 155.1 | 985.6 | 1140.7 | 0.02312 | | 10 | 9.79 | 192.2 | 160.1 | 982.6 | 1142.7 | 0.02554 | | 5 | 12.24 | 202.9 | 170.8 | 976.0 | 1146.8 | 0.03148 | |
From the [steam tables] , the condensed [Table 21] of the properties of steam at different pressures may be constructed. From such a table there may be drawn the following conclusions.
[TABLE 21] VARIATION IN PROPERTIES OF SATURATED STEAM WITH PRESSURE Pressure Pounds Absolute | Temperature Degrees Fahrenheit | Heat of Liquid B. t. u. | Latent Heat B. t. u. | Total Heat B. t. u. |
|---|
| 14.7 | 212.0 | 180.0 | 970.4 | 1150.4 | | 20.0 | 228.0 | 196.1 | 960.0 | 1156.2 | | 100.0 | 327.8 | 298.3 | 888.0 | 1186.3 | | 300.0 | 417.5 | 392.7 | 811.3 | 1204.1 | |
As the pressure and temperature increase, the latent heat decreases. This decrease, however, is less rapid than the corresponding increase in the heat of the liquid and hence the total heat increases with an increase in the pressure and temperature. The percentage increase in the total heat is small, being 0.5, 3.1, and 4.7 per cent for 20, 100, and 300 pounds absolute pressure respectively above the total heat in one pound of steam at 14.7 pounds absolute. The temperatures, on the other hand, increase at the rates of 7.5, 54.6, and 96.9 per cent. The efficiency of a perfect steam engine is proportional to the expression ( t - t 1 )/ t in which t and t 1 are the absolute temperatures of the saturated steam at admission and exhaust respectively. While actual engines only approximate the ideal engine in efficiency, yet they follow the same general law. Since the exhaust temperature cannot be lowered beyond present practice, it follows that the only available method of increasing the efficiency is by an increase in the temperature of the steam at admission. How this may be [Pg 120] accomplished by an increase of pressure is clearly shown, for the increase of fuel necessary to increase the pressure is negligible, as shown by the total heat, while the increase in economy, due to the higher pressure, will result directly from the rapid increase of the corresponding temperature.
[TABLE 22] HEAT UNITS PER POUND AND WEIGHT PER CUBIC FOOT OF WATER BETWEEN 32 DEGREES FAHRENHEIT AND 340 DEGREES FAHRENHEIT Temp- erature Degrees Fahren- heit | Heat Units per Pound | Weight per Cubic Foot | Temp- erature Degrees Fahren- heit | Heat Units per Pound | Weight per Cubic Foot | Temp- erature Degrees Fahren- heit | Heat Units per Pound | Weight per Cubic Foot | Temp- erature Degrees Fahren- heit | Heat Units per Pound | Weight per Cubic Foot |
|---|
| 32 | 0.00 | 62.42 | 89 | 57.00 | 62.13 | 146 | 113.86 | 61.27 | 203 | 170.95 | 60.05 | | 33 | 1.01 | 62.42 | 90 | 58.00 | 62.12 | 147 | 114.86 | 61.25 | 204 | 171.96 | 60.02 | | 34 | 2.01 | 62.42 | 91 | 59.00 | 62.11 | 148 | 115.86 | 61.24 | 205 | 172.96 | 60.00 | | 35 | 3.02 | 62.43 | 92 | 60.00 | 62.09 | 149 | 116.86 | 61.22 | 206 | 173.97 | 59.98 | | 36 | 4.03 | 62.43 | 93 | 60.99 | 62.08 | 150 | 117.86 | 61.20 | 207 | 174.97 | 59.95 | | 37 | 5.04 | 62.43 | 94 | 61.99 | 62.07 | 151 | 118.86 | 61.18 | 208 | 175.98 | 59.93 | | 38 | 6.04 | 62.43 | 95 | 62.99 | 62.06 | 152 | 119.86 | 61.16 | 209 | 176.98 | 59.90 | | 39 | 7.05 | 62.43 | 96 | 63.98 | 62.05 | 153 | 120.86 | 61.14 | 210 | 177.99 | 59.88 | | 40 | 8.05 | 62.43 | 97 | 64.98 | 62.04 | 154 | 121.86 | 61.12 | 211 | 178.99 | 59.85 | | 41 | 9.05 | 62.43 | 98 | 65.98 | 62.03 | 155 | 122.86 | 61.10 | 212 | 180.00 | 59.83 | | 42 | 10.06 | 62.43 | 99 | 66.97 | 62.02 | 156 | 123.86 | 61.08 | 213 | 181.0 | 59.80 | | 43 | 11.06 | 62.43 | 100 | 67.97 | 62.00 | 157 | 124.86 | 61.06 | 214 | 182.0 | 59.78 | | 44 | 12.06 | 62.43 | 101 | 68.97 | 61.99 | 158 | 125.86 | 61.04 | 215 | 183.0 | 59.75 | | 45 | 13.07 | 62.42 | 102 | 69.96 | 61.98 | 159 | 126.86 | 61.02 | 216 | 184.0 | 59.73 | | 46 | 14.07 | 62.42 | 103 | 70.96 | 61.97 | 160 | 127.86 | 61.00 | 217 | 185.0 | 59.70 | | 47 | 15.07 | 62.42 | 104 | 71.96 | 61.95 | 161 | 128.86 | 60.98 | 218 | 186.1 | 59.68 | | 48 | 16.07 | 62.42 | 105 | 72.95 | 61.94 | 162 | 129.86 | 60.96 | 219 | 187.1 | 59.65 | | 49 | 17.08 | 62.42 | 106 | 73.95 | 61.93 | 163 | 130.86 | 60.94 | 220 | 188.1 | 59.63 | | 50 | 18.08 | 62.42 | 107 | 74.95 | 61.91 | 164 | 131.86 | 60.92 | 221 | 189.1 | 59.60 | Temp- erature Degrees Fahren- heit | Heat Units per Pound | Weight per Cubic Foot | Temp- erature Degrees Fahren- heit | Heat Units per Pound | Weight per Cubic Foot | Temp- erature Degrees Fahren- heit | Heat Units per Pound | Weight per Cubic Foot | Temp- erature Degrees Fahren- heit | Heat Units per Pound | Weight per Cubic Foot |
|---|
| 51 | 19.08 | 62.41 | 108 | 75.95 | 61.90 | 165 | 132.86 | 60.90 | 222 | 190.1 | 59.58 | | 52 | 20.08 | 62.41 | 109 | 76.94 | 61.88 | 166 | 133.86 | 60.88 | 223 | 191.1 | 59.55 | | 53 | 21.08 | 62.41 | 110 | 77.94 | 61.86 | 167 | 134.86 | 60.86 | 224 | 192.1 | 59.53 | | 54 | 22.08 | 62.40 | 111 | 78.94 | 61.85 | 168 | 135.86 | 60.84 | 225 | 193.1 | 59.50 | | 55 | 23.08 | 62.40 | 112 | 79.93 | 61.83 | 169 | 136.86 | 60.82 | 226 | 194.1 | 59.48 | | 56 | 24.08 | 62.39 | 113 | 80.93 | 61.82 | 170 | 137.87 | 60.80 | 227 | 195.2 | 59.45 | | 57 | 25.08 | 62.39 | 114 | 81.93 | 61.80 | 171 | 138.87 | 60.78 | 228 | 196.2 | 59.42 | | 58 | 26.08 | 62.38 | 115 | 82.92 | 61.79 | 172 | 139.87 | 60.76 | 229 | 197.2 | 59.40 | | 59 | 27.08 | 62.37 | 116 | 83.92 | 61.77 | 173 | 140.87 | 60.73 | 230 | 198.2 | 59.37 | | 60 | 28.08 | 62.37 | 117 | 84.92 | 61.75 | 174 | 141.87 | 60.71 | 231 | 199.2 | 59.34 | | 61 | 29.08 | 62.36 | 118 | 85.92 | 61.74 | 175 | 142.87 | 60.69 | 232 | 200.2 | 59.32 | | 62 | 30.08 | 62.36 | 119 | 86.91 | 61.72 | 176 | 143.87 | 60.67 | 233 | 201.2 | 59.29 | | 63 | 31.07 | 62.35 | 120 | 87.91 | 61.71 | 177 | 144.88 | 60.65 | 234 | 202.2 | 59.27 | | 64 | 32.07 | 62.35 | 121 | 88.91 | 61.69 | 178 | 145.88 | 60.62 | 235 | 203.2 | 59.24 | | 65 | 33.07 | 62.34 | 122 | 89.91 | 61.68 | 179 | 146.88 | 60.60 | 236 | 204.2 | 59.21 | | 66 | 34.07 | 62.33 | 123 | 90.90 | 61.66 | 180 | 147.88 | 60.58 | 237 | 205.3 | 59.19 | | 67 | 35.07 | 62.33 | 124 | 91.90 | 61.65 | 181 | 148.88 | 60.56 | 238 | 206.3 | 59.16 | | 68 | 36.07 | 62.32 | 125 | 92.90 | 61.63 | 182 | 149.89 | 60.53 | 239 | 207.3 | 59.14 | | 69 | 37.06 | 62.31 | 126 | 93.90 | 61.61 | 183 | 150.89 | 60.51 | 240 | 208.3 | 59.11 | Temp- erature Degrees Fahren- heit | Heat Units per Pound | Weight per Cubic Foot | Temp- erature Degrees Fahren- heit | Heat Units per Pound | Weight per Cubic Foot | Temp- erature Degrees Fahren- heit | Heat Units per Pound | Weight per Cubic Foot | Temp- erature Degrees Fahren- heit | Heat Units per Pound | Weight per Cubic Foot |
|---|
| 70 | 38.06 | 62.30 | 127 | 94.89 | 61.59 | 184 | 151.89 | 60.49 | 241 | 209.3 | 59.08 | | 71 | 39.06 | 62.30 | 128 | 95.89 | 61.58 | 185 | 152.89 | 60.47 | 242 | 210.3 | 59.05 | | 72 | 40.05 | 62.29 | 129 | 96.89 | 61.56 | 186 | 153.89 | 60.45 | 243 | 211.4 | 59.03 | | 73 | 41.05 | 62.28 | 130 | 97.89 | 61.55 | 187 | 154.90 | 60.42 | 244 | 212.4 | 59.00 | | 74 | 42.05 | 62.27 | 131 | 98.89 | 61.53 | 188 | 155.90 | 60.40 | 245 | 213.4 | 58.97 | | 75 | 42.05 | 62.26 | 132 | 99.88 | 61.52 | 189 | 156.90 | 60.38 | 246 | 214.4 | 58.94 | | 76 | 44.04 | 62.26 | 133 | 100.88 | 61.50 | 190 | 157.91 | 60.36 | 247 | 215.4 | 58.91 | | 77 | 45.04 | 62.25 | 134 | 101.88 | 61.49 | 191 | 158.91 | 60.33 | 248 | 216.4 | 58.89 | | 78 | 46.04 | 62.24 | 135 | 102.88 | 61.47 | 192 | 159.91 | 60.31 | 249 | 217.4 | 58.86 | | 79 | 47.04 | 62.23 | 136 | 103.88 | 61.45 | 193 | 160.91 | 60.29 | 250 | 218.5 | 58.83 | | 80 | 48.03 | 62.22 | 137 | 104.87 | 61.43 | 194 | 161.92 | 60.27 | 260 | 228.6 | 58.55 | | 81 | 49.03 | 62.21 | 138 | 105.87 | 61.41 | 195 | 162.92 | 60.24 | 270 | 238.8 | 58.26 | | 82 | 50.03 | 62.20 | 139 | 106.87 | 61.40 | 196 | 163.92 | 60.22 | 280 | 249.0 | 57.96 | | 83 | 51.02 | 62.19 | 140 | 107.87 | 61.38 | 197 | 164.93 | 60.19 | 290 | 259.3 | 57.65 | | 84 | 52.02 | 62.18 | 141 | 108.87 | 61.36 | 198 | 165.93 | 60.17 | 300 | 269.6 | 57.33 | | 85 | 53.02 | 62.17 | 142 | 109.87 | 61.34 | 199 | 166.94 | 60.15 | 310 | 279.9 | 57.00 | | 86 | 54.01 | 62.16 | 143 | 110.87 | 61.33 | 200 | 167.94 | 60.12 | 320 | 290.2 | 56.66 | | 87 | 55.01 | 62.15 | 144 | 111.87 | 61.31 | 201 | 168.94 | 60.10 | 330 | 300.6 | 56.30 | | 88 | 56.01 | 62.14 | 145 | 112.86 | 61.29 | 202 | 169.95 | 60.07 | 340 | 311.0 | 55.94 | |