Moisture Handbook from the Moisture Monitor Specialists

Introduction

At Machine Applications Corporation, our deep domain knowledge has given us the opportunity to work on numerous applications and challenges pertaining to humidity/ moisture monitor and measurement. In the course of our dealings with enterprises looking for moisture analyzers to supplement their moisture control measures, we have interacted with several individuals.

Based on these interactions, we have come to realize that not everyone possesses a clear understanding of moisture and—as a consequence—of moisture control too. As a leading manufacturer of moisture monitor equipment, we consider it our responsibility to familiarize existing and potential users of our moisture monitor equipment with the basics of humidity/moisture. This, in turn, will prove to be beneficial in implementing effective moisture control in their respective industrial sectors.

Conversational terms and their misunderstood meanings

In colloquial conversation, people often use words such as humidity, moisture, vapor, dew point, steam, fog, condensation, interchangeably. Though these words are part of everyday speech, people have an extremely ambiguous understanding of the meaning and significance of each of these terms.

On the contrary, when a scientist or engineer uses these terms, they are chosen carefully and used in a specific context. Thus, there is every possibility that a layperson might misinterpret words that are used in a purely scientific context.

For instance, consider these sentences: “The water is boiling. I can see steam coming emerging from the pot.”To a layperson, there might be nothing wrong with these sentences. But a person who works with steam would instantly pinpoint the inaccuracy. Steam is invisible. The cloud that is seen above the pot of boiling water is, in fact, water droplets that form as the steam cools and condenses on mixing with the ambient air surrounding the pot.

Confusion pertaining to moisture measurement units

There is no single method or unit to represent the moisture/humidity content in air or other atmosphere (a moisture monitor is typically used to determine moisture content). Relative humidity, specific humidity, humidity ratio, dew point, percent by volume, and grams per cubic meter are all used to express a measure of the amount of water vapor that is mixed with other gases.

Relative Humidity

Relative humidity/moisture is familiar to most of us and very important term for moisture control because of its everyday usage with regard to the weather. Relative humidity is usually abbreviated “RH” and is expressed as a percentage between zero and 100%. RH indicates the amount of moisture monitored in the air as a percentage of the maximum amount the air can hold (below 212°F). Unfortunately the amount of moisture the air can hold depends on the temperature of the air. The following graph shows the maximum percentage of water vapor that the air can hold at a given temperature.

The graph shows that the higher the temperature (up to 212°F) the higher the amount of water vapor the air can hold. At 212°F and above it is possible for the air to be totally water vapor (steam) and the % moisture by volume can reach 100%.

Before we give the technical definition of RH we must explain the terms that will be used in the definition.

Partial Pressure

Let’s take an empty jar and screw the lid on tight. The air in the jar is the same air that is in the room outside of the jar. To make things simple assume that the air is 20% oxygen and 80% nitrogen.

The pressure inside the jar is the same as the atmospheric pressure outside the jar which is about 14.7 PSI. The pressure inside the jar is caused by the oxygen O2 molecules and the nitrogen N2 molecules bouncing around hitting the sides of the jar. If we could remove the oxygen from the jar there would be fewer molecules to collide with the jar. The pressure would be less and would be due totally to the nitrogen molecules. The pressure exerted by the nitrogen molecules alone would be 80% of 14.7 PSI which is 11.76 PSI. If we left the oxygen in the jar and removed the nitrogen, the pressure would be 20% of 14.7 PSI which is 2.94 PSI.

The partial pressure of a gas is the part of the total pressure that is exerted by that gas alone.

PO = Partial pressure of oxygen = 2.94 PSI
PN = Partial pressure of nitrogen = 11.76 PSI
PT = Total Pressure = PO + PN = 14.7 PSI

If we took our jar up a mountain to 10,000 ft. above sea level and then sealed it, the total pressure would only be 10.1 PSI.

PO = 2.02 PSI, PN = 8.08 PSI, PT = 10.1 PSI

Saturation Pressure (Ps)

The saturation pressure of water vapor is the partial pressure of water vapor at 100% humidity. 100% humidity/moisture is the point where liquid water and water vapor are in equilibrium, which means the water is evaporating into vapor and the vapor is condensing into liquid. Since water boils at 212°F at atmospheric pressure, the pressure Ps must go above atmospheric pressure when the temperature goes above 212°F. To maintain 100% humidity at 250°F would require a pressure near 30 PSI or two times atmospheric pressure.Regulating pressure and moisture control is a very important issue in industries.

Figure 2 shows the saturation pressure for water vs. temperature from 50°F to 550°F.

As we shall see this rapid increase in saturation pressure above 212°F is why it is impossible to reach 100% RH at atmospheric pressure above 212°F. The physics definition of RH is expressed by the following equation:

%RH = Pw/Ps x 100

Pw is the partial pressure of water vapor in the air and Ps is the saturation pressure. Above 212°F Pw is equal to the atmospheric pressure when the moisture level is 100%, but Ps, the saturation pressure, increases rapidly with temperature. The graph in Figure 3 shows the maximum RH vs. temperature. Note that below 212°F it is possible to achieve 100% RH even though the % moisture in the air by volume is less than 100% (as shown on the graph in Figure 1). Above 212°F the maximum RH is less than 100% even when the atmosphere is 100% water vapor (100% moisture by volume).

At 400°F the maximum possible RH is 5.9%. At 700°F the maximum possible RH is .48%. Although there are instruments available to measure RH up to 400°F, it can be seen from the graphs of Figure 1 and Figure 3 that the relative humidity is a 7 useless and even misleading scale for indicating moisture control level above 212°F. An instrument that could measure relative humidity with an ±1% accuracy at 400°F would give us a measure of the % moisture by volume to an accuracy of ±1 part in 5.9 or ±17%.

The relative humidity/moisture scale gives us some surprising results at ordinary room temperature as well. Let us assume that the room we are in is at a temperature of 60° and the relative humidity is 50%. The % water vapor in the room at these conditions is .87%. If we turn on our electric heater and increase the room temperature to 75°F the RH will drop to 33% even though the % moisture by volume remains at .87%.

With this example we begin to get an idea of the difference between a relative moisture scale and an absolute moisture scale. The relative humidity changes when the temperature changes, but the % water vapor by volume does not change with temperature. It changes only when water vapor is added or removed from the atmosphere.

The atmosphere around us is composed of a mixture of gases in the following proportions when the air is totally dry:

Nitrogen . . . . . . . . . . . 78.084%
Oxygen . . . . . . . . . . . 20.948%
Argon . . . . . . . . . . . . . .934%
Carbon Dioxide . . . . . . . . .0314%
Neon . . . . . . . . . . . . . . .00182%
Methane . . . . . . . . . . . . .00015%
Hydrogen . . . . . . . . . . . .00005%
Other trace gases . . . . . . . . .000056%

Since air is seldom totally without water vapor, the above percentages change depending on the amount of water vapor that is mixed with other gases. As we have already stated, 50% RH @ 60°F corresponds to .87% water vapor. 50% RH @ 95°F corresponds to 2.8% moisture by volume, and 100% RH @ 95°F is a moisture level of 5.6% by volume.

The atmosphere inside a gas fired boiler will be very different than the atmosphere around us. Most of the oxygen will be used up to burn the fuel. The carbon in the fuel burns and becomes carbon dioxide and the hydrogen in the fuel burns and becomes water vapor. If the fuel was methane and the combustion air was totally dry (0% water vapor) the atmosphere in the boiler would be:

73% Nitrogen
18% Water vapor
9% Carbon Dioxide

At the high temperatures inside a boiler the relative humidity would be close to zero even though the % moisture by volume would be 18%.

When it is raining or snowing outside the relative humidity is nearly 100%. This is because the water vapor from the snow or water droplets will evaporate into the air as long as the RH is less than 100%. When the outside temperature is 10°F and it is snowing, the % moisture control in the air is about .2%, even though the relative humidity is near 100%. If we bring the air into our home and heat it to 72°F, the relative humidity drops to 7.59%. The % water vapor is still .2% if all we do is heat the air.

Other Absolute Moisture Control Scales

The previous examples have shown that % moisture by volume is an absolute scale and does not change with temperature. There are other absolute scales as well:

% Moisture by Volume, %MV
Grams per Cubic Meter, g/m3
Humidity Ratio (LB Water/LB Dry Air or g Water/g Dry Air), W
Specific Humidity (LB Water/LB Mixture or g Water/g Mixture), q
Dew Point Temperature, td

% Moisture by Volume (%MV)

The % Moisture by Volume can be defined in a least two ways:

%MV = Number of H20 molecules per unit volume
Total number of molecules per unit volume

%MV = PW/PT
PW = Partial pressure
due to water vapor
PT = Total pressure
(usually atmospheric pressure)

Grams Per Cubic Meter

In some countries a popular moisture monitor scale is grams of water vapor per cubic meter. This scale is based on the density of water vapor at standard conditions of temperature and pressure (STP). There are several different STP values that are given by various standards organizations. In this publication we will use the STP of the International Union of Pure and Applied Chemistry (IUPAC). The STP of the IUPAC is 0°C and 100kPa.

Pure water vapor (100% H2O by volume) can not exist at STP because 0.6% water vapor by volume has a dew point of 0°C at this pressure. Except for water vapor, all the constituents of air can exist as a gas at STP. We will use this fact in order to calculate a theoretical value for g/M3 of water vapor.

The density of air at STP is given as 1275.4 g/M3. The density of water vapor is 62.19% the density of air. If 100% water vapor could exist at STP it would have a density of 1275.4 times .6219 which equals 793.17 g/M3.

The last column on TABLE 1 is calculated using a value 7.9317 g/M3 for each 1.0% of water vapor by volume.

Humidity Ratio

The humidity ratio is sometimes referred to as moisture content or the mixing ratio. It is the mass of water vapor per unit mass of dry air. The humidity ratio (W) can be calculated if the % moisture by volume (%MV) is known.

Humidity Ratio = W = .622 x %MV/(100-%MV)

This equation is valid only for the normal mixture of gases in the atmosphere. When a different mixture of gases is present as is found inside a boiler flue, the factor .622 must change. This factor is the ratio of the molecular weight of water vapor (18.015) to the average molecular weight of the other gases (28.965 in the case of air).

18.015/28.965 = .622

Note that the % moisture by volume scale is totally independent of the molecular weights of the other gases in the mixture, as in a boiler or direct fired oven.

Specific Humidity

Specific humidity is the ratio of the mass of water vapor to the total mass of the mixture of water vapor and dry air. The specific humidity (q) can be calculated if the % moisture by volume (%MV) is known.

Specific Humidity = q = .622 x %MV/[(100-%MV) + .622 x %MV]

The factor .622 is for normal air only. It must be corrected if the average molecular weight of the gases is different than air.

Dew Point

As we have shown in previous examples, when air below 212°F is cooled the relative humidity increases. The dew point is the temperature at which the relative moisture/humidity reaches 100%. The RH can not exceed 100%, so if we continue to cool air it will give up moisture in the form of condensation.

This is how dew forms, why a glass of ice water gets wet on the outside, and why condensation trails form behind aircraft at high altitudes (it is cold up there). If the dew point temperature is below 32°F, snow will form instead of rain or frost will form instead of dew. Below 32°F the dew point is sometimes called the frost point.

There is a direct correlation between the concentration of water vapor in the air and the dew point temperature. This is also true for other gases in the air. If we could cool the air to extremely low temperatures, carbon dioxide would condense into CO2 snow. By measuring the temperature at which this happens we could determine the concentration of CO2 in the air. The same is true of the nitrogen and oxygen in the air. Depending on the concentration of a gas we must reach its condensation point (dew point) to get it to condense into a liquid, or its frost point to get it to condense into a solid form.

The boiling points of the major components of air at atmospheric pressure are:

Water Vapor H2O 212°F Carbon Dioxide CO2 -108°F Oxygen O2 -297°F Nitrogen N2 -321°F

These temperatures are also the temperature at which a 100% concentration would liquify (dew point temperature). When the concentration of a gas in mixture is less than 100% the liquidization temperature becomes lower.

The point of this discussion is that there is nothing special about the way water vapor behaves compared to other gases in the atmosphere except that the dew point and frost point of water vapor occur at ordinary ambient temperatures.

Figure 4 gives the dew/frost point temperatures for low concentrations of moisture in the air.

Figure 5 gives the dew point temperature for medium and high concentrations of moisture in the air.

The dew point can be determined from the % moisture by volume by using a graph of the saturation pressure (Ps) of water vapor (as in Figure 2) or a table of Ps vs. temperature.

Example:
If the % moisture by volume is 25%, what is the dew point temperature? First find the partial pressure of water vapor (Pw).

At atmospheric pressure and 25% MV, Pw= 25% of 14.7 PSI or 3.68 PSI. At the dew point RH = 100% so Pw must equal Ps. Go to Figure 2 and find Ps at 3.68 PSI and read the corresponding temperature from the graph (150°F).

Dew point is not quite an absolute scale. Dew point does change with pressure, and atmospheric pressure changes with altitude. The atmospheric pressure in Denver, Colorado is only 12.2 PSI (5200 ft. above sea level). At sea level water boils @ 211.9°F. In Denver water boils a 203°F. These two temperatures are dew point temperatures corresponding to 100% moisture by volume, but they are different due to change in total pressure.

Comparison of Absolute Moisture Scales

Values for five different moisture scales are tabulated in Table 1 –
Moisture/Humidity Scales (found on pages 14 thru 19). This table can be used to< convert from one moisture scale to another.

Table 1 can be used to convert to or from relative humidity (RH) at temperatures below 212°F.

Example 1:
If the relative humidity (RH) is 50% and the temperature is 76°F, what is the % moisture by volume (%MV)?

First find the temperature of 76°F in the dew point column. Then look across to the %MV column and find 3%. This tells us that 100% RH at 76°F (dew point temperature) is 3% moisture by volume (MV%). 50% RH corresponds to 50% of 3% or 1.5% MV.

Example 2:
If the % moisture by volume is 4% and the temperature is 107°F, what is the RH?

First find the temperature of 107°F in the dew point column. Then look across to the %MV column and find 8% moisture by volume. Since 8% is the moisture level @ 100%RH @ 107°F, 4% MV corresponds to 50% RH.

Each moisture scale that we have discussed is preferred by people that work in specific disciplines.

Relative Humidity (RH)

When dealing with human comfort at normal ambient temperatures relative humidity/moisture is the preferred scale. Weather forecasters (meteorologists) and heating, ventilating and air conditioning engineers (HVAC) use relative humidity regularly.

% Moisture by Volume (MV)

This scale is the most intuitive of the absolute scales. People who work in the areas of combustion and pollution control engineering routinely measure flue gas constituents in % moisture by volume. Because of the linear nature of this scale it is easy to display and easy to regulate moisture control using normal set point P.I.D. controllers. For these reasons %MV is also used in the areas of food processing, product drying and product humidifying.

Humidity Ratio (W)

This scale is preferred by people who work in the product drying process since it can be directly used in energy calculations. This scale is also commonly used as the vertical axis on most psychometric charts. Because this scale is very non linear and goes thru many orders of magnitude, it is a difficult scale to display or use in a control mode. Since it is simple to convert between scales, %MV is used for display and control of the moisture level, and then converted to humidity ratio for calculations.

Dew Point Temperature (td)

This scale is widely used by people who are concerned with the possibility of water condensing in pipes carrying compressed air or other gases. Dew point is also used by those working with sampling systems for the same reason. Condensation in lines can be avoided by maintaining the working fluid at a temperature well above its dew point or by drying a fluid to a dew point well below the lowest temperature to which it will be exposed.

Table 1 – Moisture/Humidity Scales

% Moisture By Volume

Humidity Ratio

Speific Humidity

Dew Point Temperature

Grams Per Cubic Meter

%Mv

W LB H2O LB Dry Air

q LB H2O LB Mixture

td

g/m3

0.0

0

0

-460°F(-273.3°C)

0.00

0.1

0.000623

0.000622

-4°F(-20.0°C)

0.76

0.2

0.00125

0.00124

10°F(-12.2°C)

1.52

0.3

0.00187

0.00187

18°F(-7.8°C)

2.29

0.4

0.00250

0.00249

24°F(-4.4°C)

3.05

0.5

0.00313

0.00312

28°F(-2.2°C)

3.81

0.6

0.00375

0.00374

32°F(0°C)

4.57

0.7

0.00438

0.00437

36°F(2.2°C)

5.33

0.8

0.00502

0.00499

39°F(3.9°C)

6.10

0.9

0.00565

0.00562

42°F(5.6°C)

6.86

1.0

0.00628

0.00624

45°F(7.2°C)

7.62

2.0

0.0127

0.0125

64°F(17.8°C)

15.24

3.0

0.0192

0.0189

76°F(24.4°C)

22.86

4.0

0.0259

0.0253

85°F(29.4°C)

30.48

5.0

0.0327

0.0317

92°F(33.3°C)

38.10

6.0

0.0397

0.0382

98°F(36.7°C)

45.72

7.0

0.0468

0.0447

103°F(39.4°C)

53.33

8.0

0.0541

0.0513

107°F(41.7°C)

60.95

9.0

0.0615

0.0579

111°F(43.9°C)

68.57

10.0

0.0691

0.0646

115°F(46.1°C)

76.19

11.0

0.0769

0.0714

118°F(47.8°C)

83.81

12.0

0.0848

0.0782

121°F(49.4°C)

91.43

13.0

0.0929

0.085

124°F(51.1°C)

99.05

14.0

0.101

0.0919

127°F(52.8°C)

106.67

15.0

0.110

0.0989

130°F(54.4°C)

114.29

16.0

0.118

0.106

132°F(55.6°C)

121.91

17.0

0.127

0.113

134°F(56.7°C)

129.53

18.0

0.137

0.120

136°F(57.8°C)

137.15

19.0

0.146

0.127

139°F(59.4°C)

144.77

20.0

0.155

0.135

141°F(60.6°C)

152.38

21.0

0.165

0.142

143°F(61.7°C)

160.00

22.0

0.175

0.149

144°F(62.2°C)

167.62

23.0

0.186

0.157

146°F(63.3°C)

175.24

24.0

0.196

0.164

148°F(64.4°C)

182.86

25.0

0.207

0.172

150°F(65.6°C)

190.48

26.0

0.219

0.179

151°F(66.1°C)

198.10

27.0

0.207

0.187

153°F(67.2°C)

205.72

28.0

0.242

0.195

154°F(67°C)

213.34

29.0

0.254

0.203

156°F(68.9°C)

220.96

30.0

0.267

0.210

157°F(69.4°C)

228.58

31.0

0.279

0.218

158°F(70.0°C)

236.20

32.0

0.293

0.226

160°F(71.1°C)

243.82

33.0

0.306

0.235

161°F(71.7°C)

251.43

34.0

0.320

0.243

162°F(72.2°C)

259.05

35.0

0.335

0.251

163°F(72.8°C)

266.67

36.0

0.350

0.259

165°F(73.9°C)

274.29

37.0

0.365

0.268

166°F(74.4°C)

281.91

38.0

0.381

0.276

167°F(75.0°C)

289.53

39.0

0.398

0.285

168°F(75.6°C)

297.15

40.0

0.415

0.293

169°F(76.1°C)

304.77

41.0

0.432

0.302

170°F(76.7°C)

312.39

42.0

0.450

0.311

171°F(77.2°C)

320.01

43.0

0.469

0.319

172°F(77.8°C)

327.63

44.0

0.489

0.328

173°F(78.3°C)

335.25

45.0

0.509

0.337

174°F(78.9°C)

342.87

46.0

0.530

0.346

175°F(79.4°C)

350.48

47.0

0.552

0.355

176°F(80.0°C)

358.10

48.0

0.574

0.365

177°F(80.6°C)

365.72

49.0

0.598

0.374

178°F(81.1°C)

373.34

50.0

0.622

0.383

179°F(81.7°C)

380.96

51.0

0.647

0.393

180°F(82.2°C)

388.58

52.0

0.674

0.403

181°F(82.8°C)

396.20

53.0

0.701

0.412

182°F(83.3°C)

403.82

54.0

0.730

0.422

182°F(83.3°C)

411.44

55.0

0.760

0.432

183°F(83.9°C)

419.06

56.0

0.792

0.442

184°F(84.4°C)

426.68

57.0

0.824

0.452

185°F(85.0°C)

434.30

58.0

0.859

0.462

186°F(85.6°C)

441.92

59.0

0.895

0.472

187°F(86.1°C)

449.53

60.0

0.933

0.483

187°F(86.1°C)

457.15

61.0

0.973

0.493

188°F(86.7°C)

464.77

62.0

1.01

0.504

189°F(87.7°C)

472.39

63.0

1.06

0.514

190°F(87.8°C)

480.01

64.0

1.11

0.525

190°F(87.8°C)

487.63

65.0

1.16

0.536

191°F(88.3°C)

495.25

66.0

1.21

0.547

192°F(88.9°C)

502.87

67.0

1.26

0.558

192°F(88.9°C)

510.49

68.0

1.32

0.569

193°F(89.4°C)

518.11

69.0

1.38

0.581

194°F(90.0°C)

525.73

70.0

1.45

0.592

194°F(90.0°C)

533.35

71.0

1.52

0.604

195°F(90.6°C)

540.97

72.0

1.60

0.615

196°F(91.1°C)

548.58

73.0

1.68

0.627

197°F(91.7°C)

556.20

74.0

1.77

0.639

197°F(91.7°C)

563.82

75.0

1.87

0.651

198°F(92.2°C)

571.44

76.0

1.97

0.663

198°F(92.2°C)

579.06

77.0

2.08

0.676

199°F(92.8°C)

586.68

78.0

2.21

0.688

200°F(93.3°C)

594.30

79.0

2.34

0.701

200°F(93.3°C)

601.92

80.0

2.49

0.713

201°F(93.9°C)

609.54

81.0

2.65

0.726

201°F(93.9°C)

617.16

82.0

2.83

0.739

202°F(94.4°C)

624.78

83.0

3.04

0.752

203°F(95.0°C)

632.40

84.0

3.27

0.766

203°F(95.0°C)

640.02

85.0

3.52

0.779

204°F(95.6°C)

647.63

86.0

3.82

0.793

204°F(95.6°C)

655.25

87.0

4.16

0.806

205°F(96.1°C)

662.87

88.0

4.56

0.820

206°F(96.7°C)

670.49

89.0

5.03

0.830

206°F(96.7°C)

678.11

90.0

5.60

0.848

207°F(97.2°C)

685.73

91.0

6.29

0.863

207°F(97.2°C)

693.35

92.0

7.15

0.877

208°F(97.8°C)

700.97

93.0

8.26

0.892

208°F(97.8°C)

708.59

94.0

9.74

0.907

209°F(98.3°C)

716.21

95.0

11.80

0.922

209°F(98.3°C)

723.83

96.0

14.90

0.937

210°F(98.9°C)

731.45

97.0

20.10

0.953

210°F(98.9°C)

739.07

98.0

30.50

0.968

211°F(99.4°C)

746.68

99.0

61.60

0.984

211°F(99.4°C)

754.30

100.0

1

212°F(100.0°C)

761.92