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.
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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.
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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
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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
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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
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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
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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.”
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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
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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
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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
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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
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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
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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
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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”.
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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.
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:
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:
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.
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.
Humid volume, v, is the total volume in cubic meter of 1 kg dry air and its accompanying water vapor.
Thus, the dew point temperature can
be considered as the saturation temperature corresponding to the humidity ratio and vapour pressure of the humid air.
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.