Campbell Scientific HMP35C User Manual

INSTRUCTION MANUAL
Model HMP35C Temperature
and Relative Humidity Probe
Revision: 1/99
Copyright (c) 1990-1999
Campbell Scientific, Inc.

Warranty and Assistance

Products may not be returned without prior authorization. The following
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cont served by Campbell Scientific, Inc. directly. Affiliate companies handle repairs for customers within their territories. Please visit www.campbellsci.com to determine which Campbell Scientific company serves your country. To obtain a Returned Materials Authorization (RMA), contact CAMPBELL SCIENTIFIC, INC., phone (435) 753-2342. After an applications engineer determines the nature of the problem, an RMA number will be issued. Please write this number clearly on the outside of the shipping container. CAMPBELL SCIENTIFIC's shipping address is:
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RMA#_____ 815 W Logan, Ut
CAMPBELL SCIENTIFIC, INC. does not accept collect calls.
est 1800 North
ah 84321-1784
MODEL HMP35C
TEMPERATURE AND RELATIVE HUMIDITY PROBE

1. GENERAL DESCRIPTION

The HMP35C Temperature and Relative Humidity probe contains a thermistor for measuring temperature and a Vaisala capacitive polymer H chip for measuring relative humidity.
The -L option on the model HMP35C Temperature and Relative Humidity probe (HMP35C-L) indicates that the cable length is user specified. This manual refers to the sensor as the HMP35C.

2. SPECIFICATIONS

Operating Temperature: -35° to +60°C Storage Temperature: -40° to +80°C Probe Length: 25.4 cm (10 in.) Probe Body Diameter: 2.5 cm (1 in.) Filter: 0.2 µm Teflon membrane Filter Diameter: 1.9 cm (0.75 in.) Power Consumption: < 4 mA Supply Voltage (via CSI switching circuit):
7 to 35 VDC
Settling Time after power is switched on:
0.15 seconds

2.1 TEMPERATURE SENSOR

Sensor: thermistor (100 k @ 25°C) Temperature Measurement Range:
-35° to +55°C
Thermistor Interchangeability Error:
Typically < ±0.2°C over 0° to +60°C, ±0.4°C @ -35°C
Polynomial Linearization Error:
< ±0.5°C over -35° to +50°C

2.1.1 Temperature Sensor Accuracy

The overall probe accuracy is a combination of the thermistor's interchangeability specification, the precision of the bridge resistors, and the polynomial error. In a "worst case" all errors add to an accuracy of ±0.4°C over the range of
-24°C to 48°C and ±0.9°C over the range of
-38° to 53°C. The major error component is the interchangeability specification of the thermistor, tabulated in Table 1. For the range of 0° to 50°C the interchangeability error is predominantly offset and can be determined with a single point calibration. Compensation can then be done with an offset entered in the measurement instruction. The bridge resistors are 0.1% tolerance with a 10 ppm temperature coefficient. Polynomial errors are tabulated in Table 2 and plotted in Figure 1.
TABLE 1. Thermistor Interchangeability
Temperature
(°C)
40
30
20
10
0 to +50 0.20
TABLE 2. Polynomial Error
Temperature
Range(°C)
40 to +56 <±1.0°C
38 to +53 <±0.5°C
24 to +48 <±0.1°C

2.2 RELATIVE HUMIDITY SENSOR

Sensor: Vaisala capacitive polymer H chip Relative Humidity Measurement Range:
0 to 100% non-condensing
RH Output Signal Range:
0.002 to 1 VDC
Accuracy at 20°C
±2% RH (0 to 90% Relative Humidity) ±3% RH (90 to 100% Relative Humidity)
Temperature Dependence of Relative Humidity Measurement: ±0.04% RH/°C
Typical Long Term Stability:
Better than 1% RH per year
Response Time (at 20°C, 90% response to steep change in humidity):
15 seconds with membrane filter
Temperature
Tolerance (±°C)
0.40
0.40
0.32
0.25
Error (°C)
1
HMP35C TEMPERATURE AND RH PROBE
FIGURE 1. Error Produced by Polynomial Fit to Published Values

3. INSTALLATION

The HMP35C must be housed inside a radiation shield when used in the field. The 41002 Radiation Shield (Figure 2) mounts to a CM6/CM10 tripod or UT10 tower. The UT018 mounting arm and UT12VA Radiation Shield mount to a UT30 tower (Figure 3).
A lead length of 6 feet allows the HMP35C to be mounted at a 2 meter height on a CM6/CM10 tripod. Use a lead length of 9 feet for the UT10 tower or a UT30 tower respectively.
NOTE: The black outer jacket of the cable is Santoprene® rubber. This compound was chosen for its resistance to temperature extremes, moisture, and UV degradation. However, this jacket will support combustion in air. It is rated as slow burning when tested according to U.L. 94 H.B. and will pass FMVSS302. Local fire codes may preclude its use inside buildings.
FIGURE 2. HMP35C and 41002 Radiation Shield on a
CM6/CM10 Tripod Mast or UT10 Tower Leg
2
HMP35C TEMPERATURE AND RH PROBE
FIGURE 3. HMP35C with UT018 Mounting Bracket and Crossarm and
UT12VA Radiation Shield Mounted on a UT30 Tower
Orange Temperature Signal
Green Relative Humidity Signal
White Temperature Signal Reference
Black Temperature Excitation
Yellow Power Control
Red Power
Purple RH Signal, Power, & Control Reference
Clear Shield
FIGURE 4. HMP35C Probe to Datalogger Connections
TABLE 3. Datalogger Connections
Description Color CR10(X), CR500 CR23X 21X, CR7
Temperature Orange Single-Ended Input Single-Ended Input Single-Ended Input
Relative Humidity Green Single-Ended Input Single-Ended Input Single-Ended Input
Temperature Signal
White AG
Reference
Temperature
Black Excitation Channel Excitation Channel Excitation Channel
Excitation
Power Control Yellow Control Port Control Port Control Port
Power Red 12 V 12 V 12 V
RH Signal, Power, &
Purple AG
Control Reference
Shield Clear G
3
HMP35C TEMPERATURE AND RH PROBE

4. WIRING

Connections to Campbell Scientific dataloggers are given in Table 3. The probe is measured by two single-ended input channels, one for temperature and one for relative humidity. A single excitation channel is used for the temperature measurement.
The number of HMP35C probes that can be excited by one excitation channel is physically limited by the number of lead wires that can be inserted into a single excitation terminal (approximately 6).

5. EXAMPLE PROGRAMS

This section is for users who write their own datalogger programs. A datalogger program to measure this sensor can be created using Campbell Scientific’s Short Cut Program Builder software. You do not need to read this section to use Short Cut.
The temperature is measured using a single­ended analog measurement and an excitation channel (Instruction 11). The relative humidity is measured using a single-ended analog
measurement (Instruction 1). Tables 4 and 5 provide calibration information for temperature and relative humidity.
CAUTION: Do no turn the HMP35C on before measuring the thermistor. Doing so will induce a transient signal spike on the thermistor leads that will result in an erroneous temperature measurement. Always measure the HMP35C temperature first.
TABLE 4. Calibration for Temperature
Units Multiplier
(degrees mV-1)
Celsius 1 0
Fahrenheit 1.8 32
TABLE 5. Calibration for Relative Humidity
Units Multiplier
(% mV-1)
Percent 0.1 0
Fraction 0.001 0
Offset
(degrees)
Offset
(%)
Description Color CR10(X)
Temperature Orange SE 3 (2H)
Relative Humidity Green SE 4 (2L)
Temperature Signal Reference White AG
Temperature Excitation Black E1
Power Control Yellow C1
Power Red 12 V
RH Signal, Power, & Control Reference Purple AG
Shield Clear G
Example 1. Sample CR10(X) Program measuring HMP35C
Temperature and Relative Humidity
;Measure the HMP35C temperature. ;
01: Temp (107) (P11)
1: 1 Reps 2: 3 SE Channel 3: 1 Excite all reps w/E1 4: 1 Loc [ T_C ] 5: 1 Mult 6: 0 Offset
;Turn the HMP35C on. ;
02: Do (P86)
1: 41 Set Port 1 High
TABLE 6. Wiring for Example 1
;Orange wire (SE 3), White wire (AG) ;Black wire (EX 1)
;See Table 4 for alternate multipliers ;See Table 4 for alternate offsets
;Yellow wire (C1)
4
HMP35C TEMPERATURE AND RH PROBE
;Pause 150 milliseconds, before making the measurement, so the ;probe can stabilize on the true relative humidity. ;
03: Excitation with Delay (P22)
1: 1 Ex Channel 2: 0 Delay W/Ex (units = 0.01 sec) 3: 15 Delay After Ex (units = 0.01 sec) 4: 0 mV Excitation
;Measure the HMP35C relative humidity. ;
04: Volt (SE) (P1)
1: 1 Reps 2: 5 2500 mV Slow Range 3: 4 SE Channel 4: 2 Loc [ RH_pct ] 5: 0.1 Mult 6: 0 Offset
;CR500 (2500 mV); CR23X (1000 mV); 21X, CR7 (5000 mV) ;Green wire (SE 4), Purple wire (AG)
;See Table 5 for alternate multipliers
;Turn the HMP35C off. ;
05: Do (P86)
1: 51 Set Port 1 Low
;Yellow wire (C1)

6. LONG LEAD LENGTHS

When long lead lengths are required, the measurement settling time for the temperature measurement must be increased. For HMP35Cs with lead lengths greater than 300 feet, use the DC Half Bridge instruction (Instruction 4) with a 20 millisecond delay to measure the thermistor (Example 2).
TABLE 7. Wiring for Example 2
Description Color CR10(X)
Temperature Orange SE 3 (2H)
Relative Humidity Green SE 4 (2L)
Temperature Signal Reference White AG
Temperature Excitation Black E1
Power Control Yellow C1
Power Red 12 V
RH Signal, Power, & Control Reference Purple AG
Shield Clear G
Long lead lengths cause errors in the measured relative humidity. The approximate error in relative humidity is 0.6% RH per 100 feet of cable length. When long lead lengths are required and the above errors in relative humidity are unacceptable, use the HMP45C temperature and humidity probe.
5
HMP35C TEMPERATURE AND RH PROBE
Example 2. Sample CR10(X) Program measuring HMP35C Temperature
using DC Half Bridge with Delay
;Measure the HMP35C thermistor. ;
01: Excite-Delay (SE) (P4)
1: 1 Reps 2: 2 7.5 mV Slow Range 3: 3 SE Channel 4: 1 Excite all reps w/Ex 1 5: 2 Delay (units 0.01 sec) 6: 2000 mV Excitation 7: 1 Loc [ T_C ] 8: 0.4 Mult 9: 0 Offset
;CR500 (7.5 mV); CR23X (10 mV); 21X, CR7 (15 mV) ;Orange wire (SE 3), White wire (AG) ;Black wire (EX 1)
;CR500, CR23X (2000 mV); 21X, CR7 (4000 mV) ;CR500, CR23X (0.4); 21X, CR7 (0.2)
;Compute the temperature in degrees Celsius. ;
02: Polynomial (P55)
1: 1 Reps 2: 1 X Loc [ T_C ] 3: 1 F(X) Loc [ T_C ] 4: -53.46 C0 5: 90.807 C1 6: -83.257 C2 7: 52.283 C3 8: -16.723 C4 9: 2.211 C5
;Apply the temperature multiplier. ;
03: Z=X*F (P37)
1: 1 X Loc [ T_C ] 2: 1 F 3: 1 Z Loc [ T_C ]
;See Table 4 for alternate multipliers
;Apply the temperature offset. ;
04: Z=X+F (P34)
1: 1 X Loc [ T_C ] 2: 0 F 3: 1 Z Loc [ T_C ]
;See Table 4 for alternate offsets
;Turn the HMP35C on. ;
05: Do (P86)
1: 41 Set Port 1 High
;Yellow wire (C1)
;Pause 150 milliseconds, before making the measurement, so the ;probe can stabilize on the true relative humidity. ;
06: Excitation with Delay (P22)
1: 1 Ex Channel 2: 0 Delay W/Ex (units = 0.01 sec) 3: 15 Delay After Ex (units = 0.01 sec) 4: 0 mV Excitation
6
;Measure the HMP35C relative humidity. ;
07: Volt (SE) (P1)
1: 1 Reps 2: 5 2500 mV Slow Range 3: 4 SE Channel 4: 2 Loc [ RH_pct ] 5: 0.1 Mult 6: 0 Offset
;Turn the HMP35C off. ;
08: Do (P86)
1: 51 Set Port 1 Low
HMP35C TEMPERATURE AND RH PROBE
;CR500 (2500 mV); CR23X (1000 mV); 21X, CR7 (5000 mV) ;Green wire (SE 4), Purple wire (AG)
;See Table 5 for alternate multipliers
;Yellow wire (C1)

6.1 TEMPERATURE

Understanding the following details are not required for the general operation of the HMP35C with Campbell Scientific’s dataloggers.
Whenever an analog input is switched into the datalogger measurement circuitry prior to making a measurement, a finite amount of time is required for the signal to stabilize to its correct value. The rate at which the signal settles is determined by the input settling time constant which is a function of both the source resistance and input capacitance. Campbell Scientific dataloggers allow a 450 µs settling time before initiating the measurement. In most applications, this settling time is adequate, but additional wire capacitance associated with long sensor leads can increase the settling time constant so that measurement errors occur. See Section 13 in the datalogger manuals for more information.

6.2 RELATIVE HUMIDITY

Understanding the following details are not required for the general operation of the HMP35C with Campbell Scientific’s dataloggers.
The relative humidity signal reference and the power reference (black) are the same lead in the HMP35C. When the measuring relative humidity, both the signal and power references are connected to ground at the datalogger. The signal/power reference lead serves as the return path for 12 V. There will be a voltage
drop along this lead because the wire itself has resistance. The HMP35C draws approximately 4 mA when it is powered. The wire used in the HMP35C (P/N 9721) has a resistance of 13.9 /1000 feet. Using Ohm’s law, the voltage drop
), along the signal reference/power ground
(V
d
lead, is given by Eq. (1).
V
=∗
d
IR
=∗
mA ft
4 139 1000
=
mV ft
556 1000
.
.
This voltage drop will raise the apparent temperature and relative humidity because the difference between the signal and signal reference, at the datalogger, has increased by V
. The approximate error in relative humidity is
d
0.6% RH per 100 feet of cable length.

7. ELECTRICALLY NOISY ENVIRONMENTS

AC power lines can be the source of electrical noise. If the datalogger is in an electronically noisy environment, the HMP35C temperature measurement should be made with the AC half bridge instruction (Instruction 5) with the 60 Hz rejection integration option on the CR10(X), CR500, and CR23X. Use the slow integration on the 21X and CR7.
Use the 60 Hz rejection integration option when measuring the relative humidity with the single­ended analog measurement on the CR10(X), CR500, and CR23X. Use the slow integration on the 21X and CR7.
(1)
7
HMP35C TEMPERATURE AND RH PROBE
TABLE 8. Wiring for Example 3
Description Color CR10(X)
Temperature Orange SE 3 (2H)
Relative Humidity Green SE 4 (2L)
Temperature Signal Reference White AG
Temperature Excitation Black E1
Power Control Yellow C1
Power Red 12 V
RH Signal, Power, & Control Reference Purple AG
Shield Clear G
Example 3. CR10(X) Program that Measures the HMP35C
in an Electrically Noisy Environment
;Measure the HMP35C thermistor. ;
01: AC Half Bridge (P5)
1: 1 Reps 2: 22 7.5 mV 60 Hz Rejection Range
3: 3 SE Channel 4: 1 Excite all reps w/Ex 1 5: 2000 mV Excitation 6: 1 Loc [ T_C ] 7: 800 Mult 8: 0 Offset
;Orange wire (SE 3), White wire (AG) ;Black wire (EX 1) ;CR500, CR23X (2000 mV); 21X, CR7 (4000 mV)
;CR500 (7.5 mV); CR23X (10 mV) ;21X, CR7 (15 mV)
;Compute the temperature in degrees Celsius. ;
02: Polynomial (P55)
1: 1 Reps 2: 1 X Loc [ T_C ] 3: 1 F(X) Loc [ T_C ] 4: -53.46 C0 5: 90.807 C1 6: -83.257 C2 7: 52.283 C3 8: -16.723 C4 9: 2.211 C5
;Apply the temperature multiplier. ;
03: Z=X*F (P37)
1: 1 X Loc [ T_C ] 2: 1 F 3: 1 Z Loc [ T_C ]
;See Table 4 for alternate multipliers
;Apply the temperature offset. ;
04: Z=X+F (P34)
1: 1 X Loc [ T_C ] 2: 0 F 3: 1 Z Loc [ T_C ]
;See Table 4 for alternate offsets
8
HMP35C TEMPERATURE AND RH PROBE
;Turn the HMP35C on. ;
05: Do (P86)
1: 41 Set Port 1 High
;Yellow wire (C1)
;Pause 150 milliseconds, before making the measurement, so the ;probe can stabilize on the true relative humidity. ;
06: Excitation with Delay (P22)
1: 1 Ex Channel 2: 0 Delay W/Ex (units = 0.01 sec) 3: 15 Delay After Ex (units = 0.01 sec) 4: 0 mV Excitation
;Measure the HMP35C relative humidity. ;
07: Volt (SE) (P1)
1: 1 Reps 2: 25 2500 mV 60 Hz Rejection Range
;CR500 (2500 mV); CR23X (1000 mV) ;21X, CR7 (5000 mV)
3: 4 SE Channel
;Green wire (SE 4), Purple wire (AG)
4: 2 Loc [ RH_pct ] 5: 0.1 Mult
;See Table 5 for alternate multipliers
6: 0 Offset
;Turn the HMP35C off. ;
08: Do (P86)
1: 51 Set Port 1 Low

8. ABSOLUTE HUMIDITY

The HMP35C measures the relative humidity. Relative humidity is defined by the equation below:
e
RH
where RH is the relative humidity, e is the vapor pressure in kPa , and e pressure in kPa. The vapor pressure, e, is an absolute measure of the amount of water vapor in the air and is related to the dew point temperature. The saturation vapor pressure is the maximum amount of water vapor that air can hold at a given air temperature. The relationship between dew point and vapor pressure, and air temperature and saturation vapor pressure are given by Goff and Gratch (1946), Lowe (1977), and Weiss (1977).
When the air temperature increases, so does the saturation vapor pressure. Conversely, a decrease in air temperature causes a corresponding decrease in saturation vapor
100
=∗ (2)
e
s
is the saturation vapor
s
;Yellow wire (C1)
pressure. It follows then from Eq. (2) that a change in air temperature will change the relative humidity, without causing a change in absolute humidity.
For example, for an air temperature of 20°C and a vapor pressure of 1.17 kPa, the saturation vapor pressure is 2.34 kPa and the relative humidity is 50%. If the air temperature is increased by 5°C and no moisture is added or removed from the air, the saturation vapor pressure increases to 3.17 kPa and the relative humidity decreases to 36.9%. After the increase in air temperature, the air can hold more water vapor. However, the actual amount of water vapor in the air has not changed. Thus, the amount of water vapor in the air, relative to saturation, has decreased.
Because of the inverse relationship between relative humidity and air temperature, finding the mean relative humidity is meaningless. A more useful quantity is the mean vapor pressure. The mean vapor pressure can be computed on-line by the datalogger (Example
4).
9
HMP35C TEMPERATURE AND RH PROBE
TABLE 9. Wiring for Example 4
Description Color CR10(X)
Temperature Orange SE 3 (2H)
Relative Humidity Green SE 4 (2L)
Temperature Signal Reference White AG
Temperature Excitation Black E1
Power Control Yellow C1
Power Red 12 V
RH Signal, Power, & Control Reference Purple AG
Shield Clear G
Example 4. Sample CR10(X) Program that Computes Vapor Pressure
and Saturation Vapor Pressure
;Measure the HMP35C temperature. ;
01: Temp (107) (P11)
1: 1 Reps 2: 3 SE Channel 3: 1 Excite all reps w/E1 4: 1 Loc [ T_C ] 5: 1 Mult 6: 0 Offset
;Orange wire (SE 3), White wire (AG) ;Black wire (EX 1)
;See Table 4 for alternate multipliers ;See Table 4 for alternate offsets
;Turn the HMP35C on. ;
02: Do (P86)
1: 41 Set Port 1 High
;Yellow wire (C1)
;Pause 150 milliseconds, before making the measurement, so the ;probe can stabilize on the true relative humidity. ;
03: Excitation with Delay (P22)
1: 1 Ex Channel 2: 0 Delay W/Ex (units = 0.01 sec) 3: 15 Delay After Ex (units = 0.01 sec) 4: 0 mV Excitation
;Measure the HMP35C relative humidity. ;
04: Volt (SE) (P1)
1: 1 Reps 2: 5 2500 mV Slow Range 3: 4 SE Channel 4: 2 Loc [ RH_frac ] 5: 0.001 Mult 6: 0 Offset
;CR500 (2500 mV); CR23X (1000 mV); 21X, CR7 (5000 mV) ;Green wire (SE 4), Purple wire (AG)
;See Table 5 for alternate multipliers
;Turn the HMP35C off. ;
05: Do (P86)
1: 51 Set Port 1 Low
;Yellow wire (C1)
10
HMP35C TEMPERATURE AND RH PROBE
;Compute the saturation vapor pressure in kPa. The temperature must be in degrees Celsius. ;
06: Saturation Vapor Pressure (P56)
1: 1 Temperature Loc [ T_C ] 2: 3 Loc [ e_sat ]
;Compute the vapor pressure in kPa. Relative humidity must be a fraction. ;
07: Z=X*Y (P36)
1: 3 X Loc [ e_sat ] 2: 2 Y Loc [ RH_frac ] 3: 4 Z Loc [ e_kPa ]

9. INSTRUCTION 11 DETAILS

Understanding the details in this section are not necessary for using the HMP35C Probe with Campbell Scientific's dataloggers.
Instruction 11 outputs a precise 2 VAC excitation (4 V with the 21X) and measures the voltage drop due to the sensor resistance (Figure 5). The thermistor resistance changes with temperature. Instruction 11 calculates the ratio of voltage measured to excitation voltage (Vs/Vx) which relates to resistance as shown below:
V
s
=
VR
xs
where Rs is the resistance of the thermistor. See the measurement section of the datalogger
manual for more information on bridge measurements.
Instruction 11 then calculates temperature using a fifth order polynomial equation correlating Vs/Vx with temperature. The polynomial coefficients are given in Table 10. The polynomial input is (Vs/Vx)∗800. Resistance and datalogger output at several temperatures are shown in Table 11.
1000
++
249000 1000
(2)
Coefficient Value
C0 -53.4601 C1 90.807 C2 -83.257 C3 52.283 C4 -16.723 C5 2.211

10. MAINTENANCE

The HMP35C Probe requires minimal maintenance. Check monthly to make sure the radiation shield is free from debris. The black screen on the sensor's end should also be checked.
When installed in close proximity to the ocean or other bodies of salt water (e.g., Great Salt Lake), a coating of salt (mostly NaCl) may build up on the radiation shield, sensor, filter and even the chip. NaCl has an affinity for water. The humidity over a saturated NaCl solution is 75%. A buildup of salt on the filter or chip will delay or destroy the response to atmospheric humidity.
The filter can be rinsed gently in distilled water. If necessary, the chip can be removed and rinsed as well. Do not scratch the chip while cleaning.
FIGURE 5. Thermistor Probe Schematic
TABLE 10. Polynomial Coefficients
Recalibrate the HMP35C annually. Obtain an RMA number before returning the HMP35C to Campbell Scientific for recalibration.
11
HMP35C TEMPERATURE AND RH PROBE
TABLE 11. Temperature, Resistance, and
Datalogger Output
Temperature
(°C)
-40.00 4067212 -39.18
-38.00 3543286 -37.55
-36.00 3092416 -35.83
-34.00 2703671 -34.02
-32.00 2367900 -32.13
-30.00 2077394 -30.18
-28.00 1825568 -28.19
-26.00 1606911 -26.15
-24.00 1416745 -24.11
-22.00 1251079 -22.05
-20.00 1106485 -20.00
-18.00 980100 -17.97
-16.00 869458 -15.95
-14.00 772463 -13.96
-12.00 687276 -11.97
-10.00 612366 -10.00
-8.00 546376 -8.02
-6.00 488178 -6.05
-4.00 436773 -4.06
-2.00 391294 -2.07
0.00 351017 -0.06
2.00 315288 1.96
4.00 283558 3.99
6.00 255337 6.02
8.00 230210 8.04
10.00 207807 10.06
12.00 187803 12.07
14.00 169924 14.06
16.00 153923 16.05
18.00 139588 18.02
20.00 126729 19.99
22.00 115179 21.97
24.00 104796 23.95
26.00 95449 25.94
28.00 87026 27.93
30.00 79428 29.95
32.00 72567 31.97
34.00 66365 33.99
36.00 60752 36.02
38.00 55668 38.05
40.00 51058 40.07
42.00 46873 42.07
44.00 43071 44.05
46.00 39613 46.00
48.00 36465 47.91
50.00 33598 49.77
52.00 30983 51.59
54.00 28595 53.35
56.00 26413 55.05
58.00 24419 56.70
60.00 22593 58.28
Resistance
()
Output
(°C)

11. REFERENCES

Goff, J. A. and S. Gratch, 1946: Low-pressure
properties of water from -160° to 212°F,
Trans. Amer. Soc. Heat. Vent. Eng.
125-164.
Lowe, P. R., 1977: An approximating
polynomial for the computation of saturation vapor pressure,
J. Appl. Meteor.
103.
Weiss, A., 1977: Algorithms for the calculation
of moist air properties on a hand calculator,
Amer. Soc. Ag. Eng.
, 20, 1133-1136.
, 16, 100-
, 51,
12
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