Technical Bulletin 3 Dehumidification and the Psychrometric Chart I R ELATIVE HUMIDITY NTRODUCTION The psychrometric chart has been well documented in a wide variety of technical textbooks and journals. This technical bulletin will not attempt to cover the chart in detail, but, will highlight those features of the chart which apply to refrigerant type dehumidification applications. It will define the terms which form the nucleus of properly applying a dehumidifier. Relative humidity is a misapplied term. It is often used in place of absolute humidity. The key is the word “relative.” To understand this concept, a law of nature must be Reviewed. Air is a compressible fluid and its volume is represented by the following equation: v = K(T/P) V = Volume T = Temperature P = Pressure K = Constant HE CHART 49 Figure 1 shows a typical psychrometric chart. Dry Bulb temperatures are shown on the chart as vertical lines. The horizontal lines represent Dew Point temperatures. Lines representing Wet Bulb temperatures are the straight diagonal lines sloping downward from left to right. The curve forming the top edge of the chart is called the “saturation curve.” Air in a condition that falls on any point along this curve is totally saturated with moisture. Any additional moisture added could not be absorbed and would remain in a liquid state as condensation. The sweeping curved lines that follow the saturation curve are relative humidity lines expressed as percentages. These lines represent the degree of volume displaced by moisture with respect to the total air volume. 48 80 42 RH 80 % RH % 70 RH id 110 100 90 ulb % e m 120 tB 60 y ti v Hu 5 130 0% Te mp 80 era RH tur es 70 RH % 40 60 30 % RH 50 45 40 13 40 12 20% RH 35 30 30 25 H 10% R 20 Dew Point Temperatures 10 0 20 25 30 35 40 12.5 CU. FT. 45 50 55 60 13.0 CU. FT. 65 70 DRY BULB °F 75 80 13.5 CU. FT. 85 90 95 100 14.0 CU. FT. 105 GRAINS OF MOISTURE PER POUND OF DRY AIR 75 RH % 90 70 33 32 31 65 it 140 Dry Bulb Temperatures TIO RA TU 38 SA 37 AT PY 36 AL 35 TH EN 39 N 40 (B 41 TU /L B) 43 44 45 170 14 12 11 10 9 180 46 47 105 We 60 e la Re 100 150 30 29 19 15 n 95 7 8 ti o rv 90 160 28 27 26 25 24 23 22 21 20 18 17 S 16 Figure 1 at a u5r0 Cu55 14.5 CU. FT. 85 34 T As the air temperature increases, its total volume increases and decreases on reduction of temperature. Pressure has the opposite effect. As pressure increases volume decreases. This is important to understand because water damage occurs at an absolute humidity concentration regardless of its relative humidity. This is known as the constant Dew Point Temperature. Water, however, is not compressible. Therefore given a specific amount, it will always occupy the same amount of volume. S ENSIBLE AND LATENT HEATING AND COOLING There are four types of energy changes when heat of moisture is added or removed. Sensible heat occurs when heat is added without the addition or reduction of moisture. Sensible cooling is the reverse. Latent heat, also known as humidification, is the addition of moisture without changing the dry bulb temperature. Latent cooling or dehumidification is the removal of moisture. Figure 3 shows how these are displayed on the chart. 49 Figure 2 illustrates how this applies to the psychrometric chart. As moisture laden air is heated or cooled the air volume changes but the moisture does not. Thus there is a change in relative humidity, without a change in actual water content. 48 95 100 105 46 180 170 (B N 80 42 40 TIO 39 RA TU 75 38 140 130 % 35 60 % 90 RH 32 80 % 31 RH % 70 65 88 GR. 90 25 RH % 60 24 80 23 % 50 RH 21 % 40 20 18 RH 40 60 50 16 19 17 70 % 55 30 15 92°F % RH 50 40 40 9 12 10 13 11 12 14 45 20% RH 35 30 30 25 H 10% R 20 7 8 78°F 60 70°F 27 26 28 29 30 100 22 Figure 2 110 10 0 20 25 30 35 40 12.5 CU. FT. 45 50 55 60 13.0 CU. FT. 65 70 DRY BULB °F 75 80 13.5 CU. FT. 85 90 95 100 14.0 CU. FT. 105 GRAINS OF MOISTURE PER POUND OF DRY AIR RH 80 120 % 70 33 34 EN TH AL PY AT SA 40% RH 37 60% RH 150 36 80% RH 160 41 TU /L B) 43 44 45 70°F 90 47 92°F 78°F 14.5 CU. FT. 85 TECHNICAL BULLETIN 3 Dehumidification and the Psychrometric Chart Rarely will these occur as shown but will rather be a mixture of them. A refrigerant dehumidification system is a combination of sensible and latent cooling and sensible heating. First the system cools the air to reduce the dry bulb temperature to the dew point. Then latent cooling reduces the absolute humidity and finally the air is reheated increasing its dry bulb temperature. Figure 4 graphs this process. By obtaining the starting and finishing grains per pound, the amount of moisture to be removed can be calculated. The amount of moisture to be removed is the difference between these two values known as ΔGR. Figure 5 shows how a dehumidification system was sized. The ambient design was 91°F dry bulb and 78°F wet bulb. The desired indoor value was 80°F dry bulb and 50% relative humidity. The outside ambient has a moisture content of 124 grains and the indoor design has 78 grains. Thus the required moisture removal rate is 124-78 = 46 grains per pound of dry air. D EHUMIDIFIER SIZING 49 To properly apply a dehumidification system, the amount of moisture to be removed must be calculated. For most applications the only information available is the dry bulb and relative humidity or dry bulb and wet bulb temperatures. The psychrometric chart is used to plot these two values by finding their intersection and then following the horizontal line to the right to determine the moisture content in grains per pound. 48 14.5 CU. FT. 90 95 100 105 180 46 47 85 (B N 80 42 40 39 TIO TU 75 SA 37 AT PY AL 35 TH 130 120 80 % 31 RH 32 110 100 RH % 70 65 29 RH % 60 25 27 26 28 90 D 60 24 80 23 % 50 RH 22 70 % 40 60 16 15 30 % RH 50 40 40 9 12 10 13 11 12 14 45 20% RH 35 30 30 25 H 10% R 20 7 8 RH 50 19 17 20 18 21 55 10 0 20 25 30 35 40 12.5 CU. FT. 45 50 55 60 13.0 CU. FT. 65 70 DRY BULB °F 75 80 13.5 CU. FT. 85 90 95 100 14.0 CU. FT. 105 GRAINS OF MOISTURE PER POUND OF DRY AIR RH A % B 90 70 33 34 EN C 36 Sensible Heating Sensible Cooling Humidification Dehumidification 140 30 A. B. C. D. 150 38 RA Figure 3 160 41 TU /L B) 43 44 45 170 49 Figure 4 48 14.5 CU. FT. 90 95 100 105 180 46 47 85 170 /L TU 80 41 (B N 40 IO 39 AT UR 38 75 SA T 37 AT 130 AL 36 PY 140 35 TH 150 120 RH 80 % 31 RH 32 110 A 65 70 % RH 30 100 % RH 28 90 60 27 26 QS 25 Entering Air 60 24 80 RH 23 % 50 22 70 40 16 15 D RH 60 C Leaving Evaporator Coil 45 14 12 30 % Reheated Air (Supply) RH WA GR WB 50 40 40 13 11 12 10 9 % B 50 19 17 20 18 21 55 GRAINS OF MOISTURE PER POUND OF DRY AIR 90 % 70 33 34 EN QL 160 42 B) 43 44 45 Total Cooling A-B Sensible Cooling C-B Latent Cooling A-C Specific Humidity A (room air) Specific Humidity C (supply air) Total Temperature Rise B-D WA-WB 29 = = = = = = = QT QT QS QL WA WB ΔT ΔGR 20% RH 35 30 8 30 25 10% RH 7 20 10 0 20 25 30 35 40 50 45 55 60 65 75 70 DRY BULB °F 13.0 CU. FT. 80 85 90 95 100 105 14.0 CU. FT. 13.5 CU. FT. T 49 12.5 CU. FT. 48 14.5 CU. FT. 90 95 100 105 47 85 180 46 Figure 5 80 40 (B N 39 TIO 37 75 38 RA TU SA AT 140 130 WA 91°F DB/78°F WB 35 36 PY AL TH 120 RH 80 % 31 RH 32 110 RH 70 % 65 90 RH % 60 25 27 26 28 29 30 100 60 24 % 23 50 % R 50 H 80 80°F DB 22 70 40 % RH 60 50 16 19 17 20 18 21 55 15 3 0% RH WB 50 40 40 13 12 ΔGR 45 14 12 11 10 9 GRAINS OF MOISTURE PER POUND OF DRY AIR % 90 70 33 34 EN Constant Total Air Volume WA-WB 7000 GR/LB Air 8 = = = = 150 20% RH 35 30 30 25 10% RH 20 7 4.5 CFM ΔGR 7000 41 TU LBS/HR = 4.5 x CFM x GR 7000 160 42 /L B) 43 44 45 170 10 0 20 25 30 35 40 12.5 CU. FT. 45 50 55 60 13.0 CU. FT. 65 70 DRY BULB °F 75 80 85 90 13.5 CU. FT. 95 100 105 14.0 CU. FT. 8300 West Sleske Court Milwaukee, WI 53223 (414) 357-7400 FAX: (414) 357-8501 103 09/97
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