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The Working of Steel / Annealing, Heat Treating and Hardening of Carbon and Alloy Steel

Chapter 133: AN AUTOMATIC TEMPERATURE CONTROL PYROMETER
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About This Book

A practical technical manual describes steel production methods, the influence of composition and alloying on properties, and metallographic and physical testing techniques. It surveys forging and heat-treatment practices—annealing, case carburizing, quenching, tempering—and procedures for hardening tool and high-speed steels, with guidance on furnaces and pyrometry. Chapters discuss alloy effects, application examples, and inspection tests to predict performance, combining process descriptions, treatment schedules, and instrumental measurement to guide selection and working of carbon and alloy steels.

FIG. 110.—Simple potentiometer.

A current from the dry cell Ba is constantly flowing through the main, or so-called potentiometer circuit, ABCDGEF. The section DGE of this circuit is a slide wire, uniform in resistance throughout its length. The scale is fixed on this slide wire. The current from the cell Ba as it flows through DGE, undergoes a fall in potential, setting up a difference in voltage, that is, an electromotive force, between D and E. There will also be electromotive force between D and all other points on the slide wire. The polarity of this is in opposition to the polarity of the thermo-couple which connects into the potentiometer at D and at G. By moving G along the slide wire a point is found where the voltage between D and G in the slide wire is just equal to the voltage between D and G generated by the thermo-couple. A galvanometer in the thermo-couple circuit indicates when the balance point is reached, since at this point the galvanometer needle will stand motionless when its circuit is opened and closed.

FIG. 111.—Standard cell potentiometer.

The voltage in the slide wire will vary with the current flowing through it from the cell Ba and a means of standardizing this is provided. SC, Fig. 111, is a cadmium cell whose voltage is constant. It is connected at two points C and D to the potentiometer circuit whenever the potentiometer current is to be standardized. At this time the galvanometer is thrown in series with SC. The variable rheostat R is then adjusted until the current flowing is such that as it flows through the standard resistance CD, the fall in potential between C and D is just equal to the voltage of the standard cell SC. At this time the galvanometer will indicate a balance in the same way as when it was used with a thermo-couple. By this operation the current in the slide wire DGE has been standardized.

FIG. 112.—Hand adjusted cold-end compensator.

Development of the Wiring Scheme of the Cold-end Compensator.—The net voltage generated by a thermo-couple depends upon the temperature of the hot end and the temperature of the cold end. Therefore, any method adopted for reading temperature by means of thermo-couples must in some way provide a means of correcting for the temperature of the cold end. The potentiometer may have either of two very simple devices for this purpose. In one form the operator is required to set a small index to a point on a scale corresponding to the known cold junction temperature. In the other form an even more simple automatic compensator is employed. The principle of each is described in the succeeding paragraphs, in which the assumption is made that the reader already understands the potentiometer principle as described above.

As previously explained the voltage of the thermo-couple is measured by balancing it against the voltage drop DG in the potentiometer.

As shown in Fig. 111, the magnitude of the balancing voltage is controlled by the position of G. Make D movable as shown in Fig. 112 and the magnitude of the voltage DG may be varied either from the point D or the point G. This gives a means of compensating for cold end changes by setting the slider D. As the cold end temperature rises the net voltage generated by the couple decreases, assuming the hot end temperature to be constant. To balance this decreased voltage the slider D is moved along its scale to a new point nearer G. In other words, the slider D is moved along its scale until it corresponds to the known temperature of the cold end and then the potentiometer is balanced by moving the slider G. The readings of G will then be direct.

FIG. 113.—Another type of compensator.

The same results will be obtained if a slide wire upon which D bears is in parallel with the slide wire of G, as shown in Fig. 113.

Automatic Compensator.—It should be noted that the effect of moving the contact D, Fig. 113, is to vary the ratio of the resistances on the two sides of the point D in the secondary slide wire. In the recording pyrometers, an automatic compensator is employed. This automatic compensator varies the ratio on the two sides of the point D in the following manner:

The point D, Fig. 114, is mechanically fixed; on one side of D is the constant resistance coil M, on the other the nickel coil N. N is placed at or near the cold end of the thermo-couple (or couples). Nickel has a high temperature coefficient and the electrical proportions of M and N are such that the resistance change of N, as it varies with the temperature of the cold end, has the same effect upon the balancing voltage between D and G that the movement of the point D, Fig. 114, has in the hand-operated compensator.

Instruments embodying these principles are shown in Figs. 115 to 117. The captions making their uses clear.

FIG. 114.—Automatic cold-end compensator.

PLACING THE THERMO-COUPLES

FIG. 115.—Potentiometer ready for use.

The following illustrations from the Taylor Instrument Company show different applications of the thermo-couples to furnaces of various kinds. Figure 118 shows an oil-fired furnace with a simple vertical installation. Figure 119 shows a method of imbedding the thermo-couple in the floor of a furnace so as to require no space in the heating chamber.

Various methods of applying a pyrometer to common heat-treatment furnaces are shown in Figs. 120 to 122.

FIG. 116.—Eight-point recording pyrometer-Carpenter Steel Co.

LEEDS AND NORTHRUP OPTICAL PYROMETER

The principles of this very popular method of measuring temperature are sketched in Fig. 123.

FIG. 117.—Multiple-point thermocouple recorder—Bethlehem Steel Co.
FIG. 118.—Tycos pyrometer in oil-fired furnace.

The instrument is light and portable, and can be sighted as easily as an opera glass. The telescope, which is held in the hand, weighs only 25 oz.; and the case containing the battery, rheostat and milliammeter, which is slung from the shoulder, only 10 lb.

FIG. 119.—Thermocouple in floor of furnace.
FIG. 120.—Pyrometer in gas furnace.

A large surface to sight at is not required. So long as the image formed by the objective is broader than the lamp filament, the temperature can be measured accurately.

FIG. 121.—Tycos multiple indicating pyrometer and recorder.
FIG. 122.—Pyrometer in galvanizing tank.

Distance does not matter, as the brightness of the image formed by the lens is practically constant, regardless of the distance of the instrument from the hot object.

FIG. 123.—Leeds & Northrup optical pyrometer.

The manipulation is simple and rapid, consisting merely in the turning of a knurled knob. The setting is made with great precision, due to the rapid change in light intensity with change in temperature and to the sensitiveness of the eye to differences of light intensity. In the region of temperatures used for hardening steel, for example, different observers using the instrument will agree within 3°C.

Only brightness, not color, of light is matched, as light of only one color reaches the eye. Color blindness, therefore, is no hindrance to the use of this method. The use of the instrument is shown in Fig. 127.

Optical System and Electrical Circuit of the Leeds & Northrup Optical Pyrometer.—For extremely high temperature, the optical pyrometer is largely used. This is a comparative method. By means of the rheostat the current through the lamp is adjusted until the brightness of the filament is just equal to the brightness of the image produced by the lens L, Fig. 123, whereupon the filament blends with or becomes indistinguishable in the background formed by the image of the hot object. This adjustment can be made with great accuracy and certainty, as the effect of radiation upon the eye varies some twenty times faster than does the temperature at 1,600°F., and some fourteen times faster at 3,400°F. When a balance has been obtained, the observer notes the reading of the milliammeter. The temperature corresponding to the current is then read from a calibration curve supplied with the instrument.

FIG. 127.—Using the optical pyrometer.

As the intensity of the light emitted at the higher temperatures becomes dazzling, it is found desirable to introduce a piece of red glass in the eye piece at R. This also eliminates any question of matching colors, or of the observer's ability to distinguish colors. It is further of value in dealing with bodies which do not radiate light of the same composition as that emitted by a black body, since nevertheless the intensity of radiation of any one color from such bodies increases progressively in a definite manner as the temperature rises. The intensity of this one color can therefore be used as a measure of temperature for the body in question. Figures 124 to 126 show the way it is read.

CORRECTION FOR COLD-JUNCTION ERRORS

The voltage generated by a thermo-couple of an electric pyrometer is dependent on the difference in temperature between its hot junction, inside the furnace, and the cold junction, or opposite end of the thermo-couple to which the copper wires are connected. If the temperature or this cold junction rises and falls, the indications of the instrument will vary, although the hot junction in the furnace may be at a constant temperature.

A cold-junction temperature of 75°F., or 25°C., is usually adopted in commercial pyrometers, and the pointer on the pyrometer should stand at this point on the scale when the hot junction is not heated. If the cold-junction temperature rises about 75°F., where base metal thermo-couples are used, the pyrometer will read approximately 1° low for every 1° rise in temperature above 75°F. For example, if the instrument is adjusted for a cold-junction temperature of 75°, and the actual cold-junction temperature is 90°F., the pyrometer will read 15° low. If, however, the cold-junction temperature falls below 75°F., the pyrometer will read high instead of low, approximately 1° for every 1° drop in temperature below 75°F.

With platinum thermo-couples, the error is approximately 1/2° for 1° change in temperature.

Correction by Zero Adjustment.—Many pyrometers are supplied with a zero adjuster, by means of which the pointer can be set to any actual cold-junction temperature. If the cold junction of the thermo-couple is in a temperature of 100°F., the pointer can be set to this point on the scale, and the readings of the instrument will be correct.

Compensating Leads.—By the use of compensating leads, formed of the same material as the thermo-couple, the cold junction can be removed from the head of the thermo-couple to a point 10, 20 or 50 ft. distant from the furnace, where the temperature is reasonably constant. Where greater accuracy is desired, a common method is to drive a 2-in. pipe, with a pointed closed end, some 10 to 20 ft. into the ground, as shown in Fig. 128. The compensating leads are joined to the copper leads, and the junction forced down to the bottom of the pipe. The cold junction is now in the ground, beneath the building, at a depth at which the temperature is very constant, about 70°F., throughout the year. This method will usually control the cold-junction temperature within 5°F.

Where the greatest accuracy is desired a compensating box will overcome cold-junction errors entirely. It consists of a case enclosing a lamp and thermostat, which can be adjusted to maintain any desired temperature, from 50 to 150°F. The compensating leads enter the box and copper leads run from the compensating box to the instrument, so that the cold junction is within the box. Figure 129 shows a Brown compensating box.

FIG. 128.—Correcting cold-junction error.

If it is desired to maintain the cold junction at 100°: the thermostat is set at this point, and the lamp, being wired to the 110- or 220-volt lighting circuit, will light and heat the box until 100° is reached, when the thermostat will open the circuit and the light is extinguished. The box will now cool down to 98°, when the circuit is again closed, the lamp lights, the box heats up, and the operation is repeated.

FIG. 129.—Compensating box.

BROWN AUTOMATIC SIGNALING PYROMETER

In large heat-treating plants it has been customary to maintain an operator at a central pyrometer, and by colored electric lights at the furnaces, signal whether the temperatures are correct or not. It is common practice to locate three lights above each furnace-red, white and green. The red light burns when the temperature is too low, the white light when the temperature is within certain limits—for example, 20°F. of the correct temperature—and the green light when the temperature is too high.

FIG. 130.—Brown automatic signaling pyrometer.

Instruments to operate the lights automatically have been devised and one made by Brown is shown in Fig. 130. The same form of instrument is used for this purpose to automatically control furnace temperatures, and the pointer is depressed at intervals of every 10 sec. on contacts corresponding to the red, white and green lights.

FIG. 131.—Automatic temperature control.

AN AUTOMATIC TEMPERATURE CONTROL PYROMETER

Automatic temperature control instruments are similar to the Brown indicating high resistance pyrometer with the exception that the pointer is depressed at intervals of every 10 sec. upon contact-making devices. No current passes through the pointer which simply depresses the upper contact device tipped with platinum, which in turn comes in contact with the lower contact device, platinum-tipped, and the circuit is completed through these two contacts. The current is very small, about 1/10 amp., as it is only necessary to operate the relay which in turn operates the switch or valve. A small motor is used to depress the pointer at regular intervals. The contact-making device is adjustable throughout the scale range of the instrument, and an index pointer indicates the point on the instrument at which the temperature is being controlled. The space between the two contacts on the high and low side, separated by insulating material, is equivalent to 1 per cent of the scale range. A control of temperature is therefore possible within 1 per cent of the total scale range. Figure 131 shows this attached to a small furnace.

FIG. 132.—Portable thermocouple testing molten brass.

PYROMETERS FOR MOLTEN METAL

Pyrometers for molten metal are connected to portable thermocouples as in Fig. 132. Usually the pyrometer is portable, as shown in this case, which is a Brown. Other methods of mounting for this kind of work arc shown in Figs. 133 and 134. The bent mountings are designed for molten metal, such as brass or copper and are supplied with either clay, graphite or carborundum tubes. Fifteen feet of connecting wire is usually supplied.

The angle mountings, Fig. 134, are recommended for baths such as lead or cyanide. The horizontal arm is usually about 14 in. long, and the whole mounting is easily taken apart making replacements very easy. Details of the thermo-couple shown in Fig. 132 are given in Fig. 135. This is a straight rod with a protector for the hand of the operator. The lag in such couples is less than one minute. These are Englehard mountings.

PROTECTORS FOR THERMO-COUPLES

Thermo-couples must be protected from the danger of mechanical injury. For this purpose tubes of various refractory materials are made to act as protectors. These in turn are usually protected by outside metal tubes. Pure wrought iron is largely used for this purpose as it scales and oxidizes very slowly. These tubes are usually made from 2 to 4 in. shorter than the inner tubes. In lead baths the iron tubes often have one end welded closed and are used in connection with an angle form of mounting.

FIG. 133.—Bent handle thermocouple with protector.

Where it is necessary for protecting tubes to project a considerable distance into the furnace a tube made of nichrome is frequently used. This is a comparatively new alloy which stands high temperatures without bending. It is more costly than iron but also much more durable.

When used in portable work and for high temperatures, pure nickel tubes are sometimes used. There is also a special metal tube made for use in cyanide. This metal withstands the intense penetrating characteristics of cyanide. It lasts from six to ten months as against a few days for the iron tube.

The inner tubes of refractory materials, also vary according to the purposes for which they are to be used. They are as follows:

Marquardt mass tubes for temperatures up to 3,000°F., but they will not stand sudden changes in temperature, such as in contact with intermittent flames, without an extra outer covering of chamotte, fireclay or carborundum.

FIG. 134.—Other styles of bent mounting.

Fused silica tubes for continuous temperatures up to 1,800°F. and intermittently up to 2,400°F. The expansion at various temperatures is very small, which makes them of value for portable work. They also resist most acids.

Chamotte tubes are useful up to 2,800°F. and are mechanically strong. They have a small expansion and resist temperature changes well, which makes them good as outside protectors for more fragile tubes. They cannot be used in molten metals, or baths of any kind nor in gases of an alkaline nature. They are used mainly to protect a Marquardt mass or silica tube.

Carborundum tubes are also used as outside protection to other tubes. They stand sudden changes of temperature well and resist all gases except chlorine, above 1,750°F. Especially useful in protecting other tubes against molten aluminum, brass, copper and similar metals.

Clay tubes are sometimes used in large annealing furnaces where they are cemented into place, forming a sort of well for the insertion of the thermo-couple. They are also used with portable thermo-couples for obtaining the temperatures of molten iron and steel in ladles. Used in this way they are naturally short-lived, but seem the best for this purpose.

FIG. 135.—Straight thermocouple and guard.

Corundite tubes are used as an outer protection for both the Marquardt mass and the silica tubes for kilns and for glass furnaces. Graphite tubes are also used in some cases for outer protections.

Calorized tubes are wrought-iron pipe treated with aluminum vapor which often doubles or even triples the life of the tube at high temperature.

These tubes come in different sizes and lengths depending on the uses for which they are intended. Heavy protecting outer tubes may be only 1 in. in inside diameter and as much as 3 in. outside diameter, while the inner tubes, such as the Marquardt mass and silica tubes are usually about ¾ in. outside and 3/8 in. inside diameter. The length varies from 12 to 48 in. in most cases.

Special terminal heads are provided, with brass binding posts for electrical connections, and with provisions for water cooling when necessary.

APPENDIX

TABLE 32.—Temperature Conversion Tables.

TABLE 33.—Comparison Between Degrees Centigrade and Degrees Fahrenheit.

TABLE 34.—Weight of Round, Octagon and Square Carbon Tool Steel per Foot.

TABLE 35.—Weight of Round Carbon Tool Steel 12 In. in Diameter and Larger, per Foot.

TABLE 36.—Decimal Equivalents of a foot.

TEMPERATURE CONVERSION TABLES

By ALBERT SAUVEUR

-459.4 to 0 0 to 100 100 to 1000
C. F. C. F. C. F. C. F. C. F.
-273-459.4 -17.8 032 10.050 122.038 100212 260500 932
-268-450 -17.2 133.8 10.651 123.843 110230 266510 950
-262-440 -16.7 235.6 11.152 125.649 120248 271520 968
-257-430 -16.1 337.4 11.753 127.454 130266 277530 986
-251-420 -15.6 439.2 12.254 129.260 140284 282540 1004
-246-410  -15.0 541.0 12.855 131.066 150302 288550 1022
-240-400  -14.4 642.8 13.356 132.871 160320 293560 1040
-234-390  -13.9 744.6 13.957 134.677 170336 299570 1058
-229-380  -13.3 846.4 14.458 136.482 180358 304580 1076
-223-370  -12.8 948.2 15.059 138.288 190374 310590 1094
-218-360  -12.2 1050.0 15.660 140.093 200392 316600 1112
-212-350  -11.7 1151.8 16.161 141.899 210410 321610 1130
-207-340  -11.1 1253.6 16.762 143.6100 212413 327620 1148
-201-330  -10.6 1355.4 17.263 145.4104 220428 332630 1166
-196-320  -10.0 1457.2 17.864 147.2110 230446 338640 1184
-190-310  -9.44 1559.0 18.365 149.0116 240464 343650 1202
-184-300  -8.89 1661.8 18.966 150.8121 250482 349660 1220
-179-290  -8.33 1763.6 19.467 152.6127 260500 354670 1238
-173-280  -7.78 1865.4 20.068 154.4132 270518 360680 1256
-169-273 -459.4-7.22 1967.2 20.669 156.2138 280536 366690 1274
-168-270 -454-6.67 2068.0 21.170 158.0143 290554 371700 1292
-162-260 -436-6.11 2169.8 21.771 159.8149 300572 377710 1310
-157-250 -418-5.56 2271.6 22.272 161.6154 310590 382720 1328
-151-240 -400-5.00 2373.4 22.873 163.4160 320608 388730 1346
-146-230 -382-4.44 2475.2 23.374 165.2166 330626 393740 1364
-140-220 -364-3.89 2577.0 23.975 167.0171 340644 399750 1382
-134-210 -346-3.33 2678.8 24.476 168.8177 350662 404760 1400
-129-200 -328-2.78 2780.6 25.077 170.6182 360680 410770 1418
-123-190 -310-2.22 2882.4 25.678 172.4188 370698 416780 1436
-118-180 -292-1.67 2984.2 26.179 174.2193 380716 421790 1454
-112-170 -274-1.11 3086.0 26.780 176.0199 390734 427800 1472
-107-160 -256-0.56 3187.8 27.281 177.8204 400752 432810 1490
-101-150 -2380 3289.6 27.882 179.6210 410770 438820 1508
-95.6-140 -2200.56 3391.4 28.383 181.4216 420788 443830 1526
-90.0-130 -2021.11 3493.2 28.984 183.2221 430806 449840 1544
-84.4-120 -1841.67 3595.0 29.485 185.0227 440824 454850 1562
-78.9-110 -1662.22 3696.8 30.086 186.8232 450842 460860 1580
-73.3-100 -1482.78 3798.6 30.687 188.6238 460860 466870 1598
-67.8-90 -1303.33 38100.4 31.188 190.4243 470878 471880 1616
-62.2-80 -1123.89 39102.2 31.789 192.2249 480896 477890 1634
-56.7-70 -944.44 40104.0 32.290 194.0254 490914 482900 1652
-51.1-60 -765.00 41105.8 32.891 195.8  488 9101670
-45.6-50 -585.56 42107.6 33.392 197.6  493 9201688
-40.0-40 -406.11 43109.4 33.993 199.4  499 9301706
-34.4-30 -226.67 44111.2 34.494 201.2  504 9401724
-28.9-20 47.22 45113.0 35.095 203.0  510 9501742
-23.3-10 147.78 46114.8 35.696 204.8  516 9601760
-17.80 328.33 47116.6 36.197 206.6  521 9701778
  8.8948 118.436.7 98208.4   527980 1796
  9.4449 120.237.2 99210.2   532990 1814
   37.8 100 212.0  538 10001832
1000 to 2000 2000 to 3000
C. F. C. F. C. F. C. F.
5381000 1832816 1500 27321093 2000 36321371 2500 4534
5431010 1850821 1510 27501099 2010 36501377 2510 4552
5491020 1868827 1520 27681104 2020 36681382 2520 4560
5541030 1886 8321530 27861110 2030 36861388 2530 4588
5601040 1904838 1540 28041116 2040 37041393 2540 4606
5661050 1922843 1550 28221121 2050 37221399 2550 4622
5711060 1940849 1560 28401127 2060 37401404 2560 4640
5771070 1958 8541570 2858 1132 2070 37581410 2570 4658
5821080 1976860 1580 28761138 2080 37761416 2580 4676
5881090 1994 8661590 2894 11432090 3794 14212590 4694
5931100 2012 8711600 29121149 2100 38121427 2600 4712
5991110 2030 8771610 29301154 2110 38301432 2610 4730
6041120 2048882 1620 29481160 2120 38481438 2620 4748
6101130 2066888 1630 29661166 2130 38661443 2630 4766
6161140 2084 8931640 2984 11712140 3884 14492640 4784
6211150 2102 8991650 30021777 2150 39021454 2650 4802
6271160 2120 9041660 3020 1182 2160 39201460 2660 4820
6321170 2138 9101670 30381188 2170 39381466 2670 4838
6381180 2156 9161680 30561193 2180 39561471 2680 4854
6431190 2174921 1690 30741199 2190 39741477 2690 4876
6491200 2192 9271700 3092 1204 2200 39921482 2700 4892
6541210 2210 9321710 31101210 2210 40101488 2710 4910
6601220 2228 9381720 31281216 2220 40281493 2720 4928
6661230 2246 9431730 31461221 2230 40461499 2730 4946
6711240 2264949 1740 31641227 2240 40641504 2740 4964
6771250 2282954 1750 31821232 2250 40821510 2750 4982
6821260 2300960 1760 32001238 2260 41001516 2760 5000
6881270 2318966 1770 32181243 2270 41181521 2770 5018
6931280 2336971 1780 32361249 2280 41361527 2780 5036
6991290 2354977 1790 32541254 2290 41541532 2790 5054
7041300 2372982 1800 32721260 2300 41721538 2800 5072
7101310 2390988 1810 32901266 2310 41901543 2810 5090
7161320 2408 9931820 33081271 2320 42081549 2820 5108
7211330 2426999 1830 33261277 2330 42261554 2830 5126
7271340 24441004 1840 33441282 2340 42441560 2840 5144
7321350 24621010 1850 33621288 2350 42621566 2850 5162
7381360 24801016 1860 33801293 2360 42801571 2860 5180
7431370 24981021 1870 33981299 2370 42981577 2870 5198
7491380 25161027 1880 34161304 2380 43161582 2880 5216
7541390 25341032 1890 34341310 2390 43341588 2890 5234
7601400 2552 10381900 34521316 2400 43521593 2900 5252
7661410 25701043 1910 34701321 2410 43701599 2910 5270
7711420 25881049 1920 34881327 2420 43881604 2920 5288
7771430 26061054 1930 35061332 2430 44061610 2930 5306
7821440 26241060 1940 35241338 2440 44241616 2940 5324
7881450 26421066 1950 35421343 2450 44421621 2950 5342
7931460 26601071 1960 35601349 2460 44601627 2960 5360
7991470 26781077 1970 35781354 2470 44781632 2970 5378
8041480 26961082 1980 35961360 2480 44961638 2980 5396
8101490 27141088 1990 36141366 2490 45141643 2990 5414
    1093 2000 3632     1649 3000 5432
INTERPOLATION FACTORS
C.F. C.F.
0.561 1.83.33 610.8
1.112 3.63.89 712.6
1.673 5.44.44 814.4
2.224 7.25.00 916.2
2.785 9.05.56 1018.0

NOTE.—The numbers in bold face type refer to the temperature either in degrees Centigrade or Fahrenheit which it is desired to convert into the other scale. If converting from Fahrenheit degrees to Centigrade degrees the equivalent temperature will be found in the left column, while if converting from degrees Centigrade to degrees Fahrenheit, the answer will be found in the column on the right. These tables are a revision of those by Sauveur & Boylston, metallurgical engineers, Cambridge, Mass. Copyright, 1920.

Those using pyrometers will find this and the preceding conversion table of great convenience:

TABLE 33.—COMPARISON BETWEEN DEGREES CENTIGRADE AND DEGREES FAHRENHEIT
Degrees Degrees Degrees Degrees Degrees Degrees Degrees
F.C. F.C. F.C. F.C. F.C. F.C. F.C.
-40-40.0 3-16.1 467.7 8931.6 13255.5 17579.4 275135.0
-39-39.4 4-15.5 478.3 9032.2 13356.1 17680.0 300148.8
-38-38.8 5-15.0 488.8 9132.7 13456.6 17780.5 325162.7
-37-38.3 6-14.4 499.3 9233.3 13557.2 17881.1 350176.6
-36-37.7 7-13.8 5010.0 9333.9 13657.7 17981.6 375190.5
-35-37.2 8-13.3 5110.5 9434.4 13758.3 18082.2 400204.4
-34-36.6 9-12.7 5211.1 9535.0 13858.8 18182.7 425218.3
-33-36.1 10-12.2 5311.6 9635.5 13959.4 18283.3 450232.2
-32-35.5 11-11.6 5412.2 9736.1 14060.0 18383.8 475246.1
-31-35.0 12-11.1 5512.7 9836.6 14160.5 18484.4 500260.0
-30-34.4 13-10.5 5613.3 9937.2 14261.1 18585.0 525273.8
-29-33.9 14-10.0 5713.8 10037.7 14361.6 18685.5 550287.7
-28-33.3 15-9.3 5814.4 10138.3 14462.2 18786.1 575301.6
-27-32.7 16-8.8 5915.0 10238.8 14562.7 18886.6 600315.5
-26-32.2 17-8.3 6015.5 10339.4 14663.3 18987.2 625329.4
-25-31.6 18-7.7 6116.1 10440.0 14763.8 19087.7 650343.3
-24-31.1 19-7.2 6216.6 10540.5 14864.4 19188.3 675357.2
-23-30.5 20-6.6 6317.2 10641.1 14965.0 19288.8 700371.1
-22-30.0 21-6.1 6417.7 10741.6 15065.5 19389.4 725385.0
-21-29.4 22-5.5 6518.3 10842.2 15166.1 19490.0 750398.8
-20-28.8 23-5.0 6618.8 10942.7 15266.6 19590.5 775412.7
-19-28.3 24-4.4 6719.4 11043.3 15367.2 19691.1 800426.6
-18-27.7 25-3.8 6820.0 11143.8 15467.7 19791.6 825440.5
-17-27.2 26-3.3 6920.5 11244.4 15568.3 19892.2 850454.4
-16-26.6 27-2.7 7021.1 11345.0 15668.8 19992.7 875468.3
-15-26.1 28-2.2 7121.6 11445.5 15769.4 20093.3 900482.2
-14-25.5 29-1.6 7222.2 11546.1 15870.0 20193.8 925496.1
-13-25.0 30-1.1 7322.7 11646.6 15970.5 20294.4 950510.0
-12-24.4 31-0.5 7423.3 11747.2 16071.1 20395.0 975523.8
-11-23.8 32-0.0 7523.8 11847.7 16171.6 20495.5 1,000537.7
-10-23.3 33+0.5 7624.4 11948.3 16272.2 20596.1 1,100593.3
-9-22.7 341.1 7725.0 12048.8 16372.7 20696.6 1,200648.8
-8-22.2 351.67825.512149.416473.320797.21,300704.4
-7-21.6 362.2 7926.1 12250.0 16573.8 20897.7 1,400760.0
-6-21.1 372.7 8026.6 12350.5 16674.4 20998.3 1,500815.5
-5-20.5 383.3 8127.2 12451.1 16775.0 21098.8 1,600871.1
-4-20.0 393.8 8227.7 12551.6 16875.5 21199.4 1,700926.6
-3-19.4 404.4 8328.3 12652.2 16976.1 212100.0 1,800982.2
-2-18.8 415.0 8428.8 12752.7 17076.6 213100.5 1,9001,037.7
-1-18.3 425.5 8529.4 12853.3 17177.2 214101.1 2,0001,093.3
0-17.7 436.1 8630.0 12953.8 17277.7 215101.6 2,1001,148.8
+1-17.2 446.6 8730.5 13054.4 17378.3 225107.2 2,2001,204.4
2-16.6 457.2 8831.1 13155.0 17478.8 250121.1 2,3001,260.0
Degrees Fahrenheit = 9 x degrees C. + 32
5
Degrees Centigrade = 5 x (degrees F. - 32)
9