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
5060708090100110120130140150160170180190200210220230240250
321.21431.21701.21941.22151.22331.22331.22651.22801.22921.23041.23141.23231.23331.23421.23501.23571.23641.23721.23781.23841.2390
401.20601.20871.21111.21311.21501.21681.21811.21961.22091.22211.22311.22411.22501.22591.22671.22741.22821.22891.22951.23011.2307
501.19571.19841.20081.20281.20471.20651.20791.20931.21061.21171.21281.21371.21471.21561.21641.21711.21781.21861.21921.21981.2204
601.18541.18811.19051.19251.19441.19611.19761.19901.20031.20141.20251.20341.20441.20531.20611.20681.20751.20831.20891.20951.2101
701.17501.17781.18021.18221.18411.18591.18731.18871.19001.19111.19221.19311.19411.19501.19581.19651.19721.19801.19861.19921.1998
801.16491.16751.16991.17201.17381.17561.17701.17851.17971.18091.18191.18281.18381.18471.18551.18631.18691.18771.18831.18891.1895
901.15451.15721.15961.16171.16361.16531.16681.16821.16951.17061.17171.17251.17351.17441.17501.17601.17661.17741.17801.17861.1792
1001.14431.14701.14931.15141.15331.15501.15651.15791.15921.16031.16141.16231.16331.16421.16501.16571.16641.16711.16781.16841.1690
1101.13401.13671.13911.14111.14301.14481.14621.14771.14891.15001.15111.15201.15301.15391.15471.15541.15621.15691.15751.15811.1587
1201.12371.12641.12881.13091.13271.13451.13591.13741.13861.13981.14081.14181.14271.14361.14441.14521.14591.14661.14721.14781.1484
1301.11341.11611.11851.12061.12251.12421.12571.12711.12841.12951.13051.13151.13241.13331.13411.13491.13561.13631.13691.13751.1381
1401.10311.10581.10821.11031.11221.11391.11541.11681.11811.11921.12031.12121.12211.12301.12391.12461.12531.12601.12661.12721.1278
1501.09281.09551.09791.10001.10191.10361.10511.10651.10781.10891.10991.11091.11181.11271.11361.11431.11501.11571.11631.11691.1176
1601.08251.08521.08761.08971.09161.09331.09481.09621.09751.09861.09971.10061.10151.10241.10331.10401.10471.10541.10601.10661.1073
1701.07221.07491.07731.07941.08131.08301.08451.08591.08721.08831.08931.09031.09121.09211.09301.09371.09441.09511.09571.09631.0969
1801.06191.06461.06701.06911.07091.07271.07411.07561.07681.07801.07901.08001.08091.08181.08261.08341.08411.08481.08541.08601.0866
1901.05161.05431.05671.05871.06061.06241.06381.06531.06651.06761.06871.06961.07061.07151.07231.07301.07371.07451.07511.07571.0763
2001.04121.04391.04631.04841.05031.05201.05351.05491.05621.05731.05841.05931.06021.06111.06201.06271.06341.06411.06471.06531.0660
2101.03091.03361.03601.03801.03991.04171.04321.04461.04581.04691.04801.04891.04991.05081.05161.05231.05301.05381.05441.05501.0556

[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 22.181061.01083.20.000678
29 .452 76.6 44.641048.71093.30.001415
28.5 .698 90.1 58.091041.11099.20.002137
28 .944 99.9 67.871035.61103.50.002843
27 1.44 112.5 80.4 1028.61109.00.00421
26 1.93 124.5 92.3 1022.01114.30.00577
25 2.42 132.6100.5 1017.31117.80.00689
24 2.91 140.1108.0 1013.11121.10.00821
22 3.89 151.7119.6 1006.41126.00.01078
20 4.87 161.1128.9 1001.01129.90.01331
18 5.86 168.9136.8 996.41133.20.01581
16 6.84 175.8143.6 992.41136.00.01827
14 7.82 181.8149.7 988.81138.50.02070
12 8.80 187.2155.1 985.61140.70.02312
10 9.79 192.2160.1 982.61142.70.02554
5 12.24 202.9170.8 976.01146.80.03148

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.
14.7212.0180.0970.41150.4
20.0228.0196.1960.01156.2
100.0327.8298.3888.01186.3
300.0417.5392.7811.31204.1

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 0.0062.42 8957.0062.13146113.8661.27203170.9560.05
33 1.0162.42 9058.0062.12147114.8661.25204171.9660.02
34 2.0162.42 9159.0062.11148115.8661.24205172.9660.00
35 3.0262.43 9260.0062.09149116.8661.22206173.9759.98
36 4.0362.43 9360.9962.08150117.8661.20207174.9759.95
37 5.0462.43 9461.9962.07151118.8661.18208175.9859.93
38 6.0462.43 9562.9962.06152119.8661.16209176.9859.90
39 7.0562.43 9663.9862.05153120.8661.14210177.9959.88
40 8.0562.43 9764.9862.04154121.8661.12211178.9959.85
41 9.0562.43 9865.9862.03155122.8661.10212180.0059.83
4210.0662.43 9966.9762.02156123.8661.08213181.0 59.80
4311.0662.4310067.9762.00157124.8661.06214182.0 59.78
4412.0662.4310168.9761.99158125.8661.04215183.0 59.75
4513.0762.4210269.9661.98159126.8661.02216184.0 59.73
4614.0762.4210370.9661.97160127.8661.00217185.0 59.70
4715.0762.4210471.9661.95161128.8660.98218186.1 59.68
4816.0762.4210572.9561.94162129.8660.96219187.1 59.65
4917.0862.4210673.9561.93163130.8660.94220188.1 59.63
5018.0862.4210774.9561.91164131.8660.92221189.1 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
5119.0862.4110875.9561.90165132.8660.90222190.1 59.58
5220.0862.4110976.9461.88166133.8660.88223191.1 59.55
5321.0862.4111077.9461.86167134.8660.86224192.1 59.53
5422.0862.4011178.9461.85168135.8660.84225193.1 59.50
5523.0862.4011279.9361.83169136.8660.82226194.1 59.48
5624.0862.3911380.9361.82170137.8760.80227195.2 59.45
5725.0862.3911481.9361.80171138.8760.78228196.2 59.42
5826.0862.3811582.9261.79172139.8760.76229197.2 59.40
5927.0862.3711683.9261.77173140.8760.73230198.2 59.37
6028.0862.3711784.9261.75174141.8760.71231199.2 59.34
6129.0862.3611885.9261.74175142.8760.69232200.2 59.32
6230.0862.3611986.9161.72176143.8760.67233201.2 59.29
6331.0762.3512087.9161.71177144.8860.65234202.2 59.27
6432.0762.3512188.9161.69178145.8860.62235203.2 59.24
6533.0762.3412289.9161.68179146.8860.60236204.2 59.21
6634.0762.3312390.9061.66180147.8860.58237205.3 59.19
6735.0762.3312491.9061.65181148.8860.56238206.3 59.16
6836.0762.3212592.9061.63182149.8960.53239207.3 59.14
6937.0662.3112693.9061.61183150.8960.51240208.3 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
7038.0662.3012794.8961.59184151.8960.49241209.3 59.08
7139.0662.3012895.8961.58185152.8960.47242210.3 59.05
7240.0562.2912996.8961.56186153.8960.45243211.4 59.03
7341.0562.2813097.8961.55187154.9060.42244212.4 59.00
7442.0562.2713198.8961.53188155.9060.40245213.4 58.97
7542.0562.2613299.8861.52189156.9060.38246214.4 58.94
7644.0462.26133100.8861.50190157.9160.36247215.4 58.91
7745.0462.25134101.8861.49191158.9160.33248216.4 58.89
7846.0462.24135102.8861.47192159.9160.31249217.4 58.86
7947.0462.23136103.8861.45193160.9160.29250218.5 58.83
8048.0362.22137104.8761.43194161.9260.27260228.6 58.55
8149.0362.21138105.8761.41195162.9260.24270238.8 58.26
8250.0362.20139106.8761.40196163.9260.22280249.0 57.96
8351.0262.19140107.8761.38197164.9360.19290259.3 57.65
8452.0262.18141108.8761.36198165.9360.17300269.6 57.33
8553.0262.17142109.8761.34199166.9460.15310279.9 57.00
8654.0162.16143110.8761.33200167.9460.12320290.2 56.66
8755.0162.15144111.8761.31201168.9460.10330300.6 56.30
8856.0162.14145112.8661.29202169.9560.07340311.0 55.94