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Air-Water Mixture:
Psychrometric Charts and Their
Application.
Psychrometrics
 Psychrometrics is “The study of properties of mixtures of
air and water vapor”.
 Necessary for unit operations.
 Amount of water vapor present in air under various conditions.
 Thermal properties can changes in the heat and moisture
contents.
1/27/2020 2
Psychrometrics
Air–water vapor mixture present into
Heating,
Cooling,
Humidification,
Dehumidification, and
Mixing
1/27/2020 3
Wet Basis and Dry Basis Moisture
Contents
Moisture Content:-
 “The amount of free, absorbed and adsorb water in the food e.g.,
grain”.
Water in grain is present
 Inter granular spaces in the endosperm
 Seed Coat
 Bonded by weak hydrogen bonds to the molecules of starches and
protein bodies
 Bulk of the water as free water adsorbed or absorbed
 Surface
 Between the husk and kernels.
1/27/2020 4
Wet Basis and Dry Basis Moisture
Contents
Grain Moisture Content:-
 Normally moisture content denotes the quantity of water in a unit mass of
a grain sample.
 It is expressed in two different forms:
1) Moisture content wet basis
2) Moisture content dry basis
1/27/2020 5
1. Moisture Content Wet Basis:-
 It is the mass of water present per unit mass of undried grain
sample .i.e
 Where,
 MWb= present moisture content wet basis, %
 mw = mass of water in grain sample, g
 md= mass of dry matter in grain sample, g
 mg = mass of grain sample = md - mw' g
100100 X
mm
m
X
m
m
M
wd
w
g
w
wb


1/27/2020 6
100100 X
mm
m
X
m
m
M
wg
w
d
w
db


2. Moisture Content Dry Basis
 It is the mass of water present per unit mass of dry matter in a grain
sample.
 Where,
 Mdb= present moisture content dry basis, %
 mw = mass of water in grain sample, g
 md= mass of dry matter in grain sample, g
 mg = mass of grain sample = md - mw , g
1/27/2020 7
Relationship Between Wet Basis and Dry Basis Moisture
Content:-
 The conversion of moisture content from wet basis to dry basis and vice
versa is simple,and can be calculated from the given equations,
 Where,
 Mdb and MWb are respectively percent moisture content on dry basis and
wet basis.
db
db
wb
wb
wb
db
M
MX
M
M
MX
M




100
100
100
100
1/27/2020 8
Properties of Air–Water Vapor Mixture
Absolute Humidity:-
 “The kilograms of water vapor present in 1 kg of dry air
under a given set of conditions.”
1/27/2020 9
Therefore, H can be expressed mathematically as follows:
 When
 As per pw is small,
 Again, from Equation 2.1
 Rearranging Equation 2.4
P
H
H
p
pP
p
pP
p
H
p
H
kgkg
p
p
H
atmP
pP
p
H
w
w
w
w
w
w
w
w
w
w


















611.11
611.1
)(611.1)(
18
29
29
18
/
)1(29
18
1
)(29
18
1/27/2020 10
• Where,
• H = Absolute Humidity of air kg of water vapor/kg of dry air
• Pw = Partial Pressure of water vapor
• P = Total Pressure
• MWater = 18 kg/kmol
• MAir = 28.9 kg/kmol
1/27/2020 11
Percentage Humidity:-
• “The ratio of the weight of water present in 1 kg of dry air at any
temperature and pressure and the weight of water present in 1 kg of
dry air, which is saturated with water vapor at the same temperature
and pressure”.
H= Weight of water present in 1 kg of dry air
Hs= Satureted weight of water present in 1 kg of dry air
100=Humidity%tage X
H
H
S






1/27/2020 12
Relative Humidity:-
• “The ratio of the partial pressure of water vapor in the air to the
partial pressure of water vapor in saturated air at the same
temperature”.
• Where,
RH= Relative Humidity
pw = partial pressure of water vapor in air
ps = partial pressure of water vapor in saturated air
100X
p
p
RH
s
w







1/27/2020 13
Humid Heat:-
• “The number of kilocalories necessary to raise the temperature of 1
kg dry air and its accompanying water vapor through 1°C”.
• S= Humid Heat
• H= Absolute Humidity of air kg of water vapor/kg of dry air
)/(,88.1005.1
)/(,45.024.0
CkgkcalHS
CkgkcalHS




1/27/2020 14
)/(,)88.1005.1(h'
)]/(,)45.024.0(h'
)0(45.0[)0(24.0h'
CkgkcalHt
CkgkcalHtH
tHt








Enthalpy:-
• “The total heat content of air water mixture at the given temperature
and pressure”.
• Where,
• 0.24t = average heat content of dry air, kcal/kg of dry air
• 0.45 = specific heat of water vapour
• H = absolute humidity
1/27/2020 15
  
kgmtHv
H
tv
tt
v
/)2 7 3)(0 0 4 5 6.0 0 2 8 3.0(
1 82 9
1
2 7 3
2 7 3
4.2 2
2 7 3
2 7 3
1 8
4.2 2
2 7 3
2 7 3
2 9
4.2 2
3













 





 

Humid Volume:-
• “The total volume in cubic meter of 1 kg dry air and its
accompanying water vapor”.
• Where,
• V= Humid Volume
1/27/2020 16
Saturated Volume:-
• “The volume of 1 kg of dry air plus that of the water vapor necessary
to saturate it”.
Dew Point:-
• “The temperature at which condensation occurs when the air is
cooled at constant humidity ratio and constant atmospheric
pressure”.
1/27/2020 17
Introduction of Psychrometric Chart
1/27/2020 18
1/27/2020 19
1/27/2020 20
Psychrometry – Dry Bulb Temp
1/27/2020 21
Psychrometry – Wet Bulb Temp
1/27/2020 22
Psychrometry – Saturation Line
1/27/2020 23
Psychrometry – Relative Humidity
1/27/2020 24
Psychrometry – Humidity Ratio
1/27/2020 25
Psychrometry – Dew Point Lines
1/27/2020 26
Psychrometry – Specific Enthalpy
1/27/2020 27
Psychrometry – Specific Volume
1/27/2020 28

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Air Water Mixtures

  • 2. Psychrometrics  Psychrometrics is “The study of properties of mixtures of air and water vapor”.  Necessary for unit operations.  Amount of water vapor present in air under various conditions.  Thermal properties can changes in the heat and moisture contents. 1/27/2020 2
  • 3. Psychrometrics Air–water vapor mixture present into Heating, Cooling, Humidification, Dehumidification, and Mixing 1/27/2020 3
  • 4. Wet Basis and Dry Basis Moisture Contents Moisture Content:-  “The amount of free, absorbed and adsorb water in the food e.g., grain”. Water in grain is present  Inter granular spaces in the endosperm  Seed Coat  Bonded by weak hydrogen bonds to the molecules of starches and protein bodies  Bulk of the water as free water adsorbed or absorbed  Surface  Between the husk and kernels. 1/27/2020 4
  • 5. Wet Basis and Dry Basis Moisture Contents Grain Moisture Content:-  Normally moisture content denotes the quantity of water in a unit mass of a grain sample.  It is expressed in two different forms: 1) Moisture content wet basis 2) Moisture content dry basis 1/27/2020 5
  • 6. 1. Moisture Content Wet Basis:-  It is the mass of water present per unit mass of undried grain sample .i.e  Where,  MWb= present moisture content wet basis, %  mw = mass of water in grain sample, g  md= mass of dry matter in grain sample, g  mg = mass of grain sample = md - mw' g 100100 X mm m X m m M wd w g w wb   1/27/2020 6
  • 7. 100100 X mm m X m m M wg w d w db   2. Moisture Content Dry Basis  It is the mass of water present per unit mass of dry matter in a grain sample.  Where,  Mdb= present moisture content dry basis, %  mw = mass of water in grain sample, g  md= mass of dry matter in grain sample, g  mg = mass of grain sample = md - mw , g 1/27/2020 7
  • 8. Relationship Between Wet Basis and Dry Basis Moisture Content:-  The conversion of moisture content from wet basis to dry basis and vice versa is simple,and can be calculated from the given equations,  Where,  Mdb and MWb are respectively percent moisture content on dry basis and wet basis. db db wb wb wb db M MX M M MX M     100 100 100 100 1/27/2020 8
  • 9. Properties of Air–Water Vapor Mixture Absolute Humidity:-  “The kilograms of water vapor present in 1 kg of dry air under a given set of conditions.” 1/27/2020 9
  • 10. Therefore, H can be expressed mathematically as follows:  When  As per pw is small,  Again, from Equation 2.1  Rearranging Equation 2.4 P H H p pP p pP p H p H kgkg p p H atmP pP p H w w w w w w w w w w                   611.11 611.1 )(611.1)( 18 29 29 18 / )1(29 18 1 )(29 18 1/27/2020 10
  • 11. • Where, • H = Absolute Humidity of air kg of water vapor/kg of dry air • Pw = Partial Pressure of water vapor • P = Total Pressure • MWater = 18 kg/kmol • MAir = 28.9 kg/kmol 1/27/2020 11
  • 12. Percentage Humidity:- • “The ratio of the weight of water present in 1 kg of dry air at any temperature and pressure and the weight of water present in 1 kg of dry air, which is saturated with water vapor at the same temperature and pressure”. H= Weight of water present in 1 kg of dry air Hs= Satureted weight of water present in 1 kg of dry air 100=Humidity%tage X H H S       1/27/2020 12
  • 13. Relative Humidity:- • “The ratio of the partial pressure of water vapor in the air to the partial pressure of water vapor in saturated air at the same temperature”. • Where, RH= Relative Humidity pw = partial pressure of water vapor in air ps = partial pressure of water vapor in saturated air 100X p p RH s w        1/27/2020 13
  • 14. Humid Heat:- • “The number of kilocalories necessary to raise the temperature of 1 kg dry air and its accompanying water vapor through 1°C”. • S= Humid Heat • H= Absolute Humidity of air kg of water vapor/kg of dry air )/(,88.1005.1 )/(,45.024.0 CkgkcalHS CkgkcalHS     1/27/2020 14
  • 15. )/(,)88.1005.1(h' )]/(,)45.024.0(h' )0(45.0[)0(24.0h' CkgkcalHt CkgkcalHtH tHt         Enthalpy:- • “The total heat content of air water mixture at the given temperature and pressure”. • Where, • 0.24t = average heat content of dry air, kcal/kg of dry air • 0.45 = specific heat of water vapour • H = absolute humidity 1/27/2020 15
  • 16.    kgmtHv H tv tt v /)2 7 3)(0 0 4 5 6.0 0 2 8 3.0( 1 82 9 1 2 7 3 2 7 3 4.2 2 2 7 3 2 7 3 1 8 4.2 2 2 7 3 2 7 3 2 9 4.2 2 3                        Humid Volume:- • “The total volume in cubic meter of 1 kg dry air and its accompanying water vapor”. • Where, • V= Humid Volume 1/27/2020 16
  • 17. Saturated Volume:- • “The volume of 1 kg of dry air plus that of the water vapor necessary to saturate it”. Dew Point:- • “The temperature at which condensation occurs when the air is cooled at constant humidity ratio and constant atmospheric pressure”. 1/27/2020 17
  • 18. Introduction of Psychrometric Chart 1/27/2020 18
  • 21. Psychrometry – Dry Bulb Temp 1/27/2020 21
  • 22. Psychrometry – Wet Bulb Temp 1/27/2020 22
  • 23. Psychrometry – Saturation Line 1/27/2020 23
  • 24. Psychrometry – Relative Humidity 1/27/2020 24
  • 25. Psychrometry – Humidity Ratio 1/27/2020 25
  • 26. Psychrometry – Dew Point Lines 1/27/2020 26
  • 27. Psychrometry – Specific Enthalpy 1/27/2020 27
  • 28. Psychrometry – Specific Volume 1/27/2020 28

Editor's Notes

  1. The absolute humidity, H, is defined as kilograms of water vapor present in 1 kg of dry air under a given set of conditions. H depends upon partial pressure of water vapor, pw, in air and total pressure, P.
  2. It is the ratio of the weight of water present in 1 kg of dry air at any temperature and pressure and the weight of water present in 1 kg of dry air, which is saturated with water vapor at the same temperature and pressure:
  3. Relative humidity (RH) is defined as the ratio of the partial pressure of water vapor in the air to the partial pressure of water vapor in saturated air at the same temperature:
  4. Humid heat is the number of kilocalories necessary to raise the temperature of 1 kg dry air and its accompanying water vapor through 1°C.
  5. Enthalpy h′ of an air and water vapor mixture is the total heat content of 1 kg of dry air plus its accompanying water vapor. If the datum temperature and pressure are 0°C and 1 atm, respectively, then the enthalpy at t°C for air and water vapor mixture.
  6. Humid volume, v, is the total volume in cubic meter of 1 kg dry air and its accompanying water vapor.
  7. Thus, the dew point temperature can be considered as the saturation temperature corresponding to the humidity ratio and vapour pressure of the humid air.
  8. The psychrometric chart is graphic representation of the physical and thermal properties of atmospheric air. Instead of calculating from the equations, the properties of humid air can be obtained easily by using psychrometric chart. Figure 2.1 shows the psychrometric chart (ASHRAE Publishers) prepared for air at 101.32,5 kPa (l atm pressure). In the chart the horizontal axis gives dry bulb temperatures and the vertical axis gives humidity ratios. The horizontal lines represents the constant humidity ratios, where as the vertical lines represents constant dry bzulb lines. The curves swinging upward give the relative humidity values. The extreme left curve is the 100% relative humidity curve, is also known as saturation curve. On this curve the values of dew point, wet-bulb and dry-bulb temperatures are equal. The curved lines below this saturation curve represents various percentage of relative humidities. The horizontal axis is the 0% relative humidity line, which represents complete dry air. The wet bulb lines are straight and make sharp angle with the vertical axis. These lines .are also called as adiabatic cooling lines, and having uneqi, ••l magnitude of angles with vertical axis. The oblique straight lines having steeper slopes than wet bulb lines represents specific volume lines. The enthalpy lines are inclined, parallel lines drawn in slightly different direction than the wet-bulb lines. The values of the enthalpy lines are indicated on a scale drawn upper left hand corner of the chart.