PROPERTIES OF PURE SUBSTANCE
a - sub-cooled liquid
b - saturated liquid
c - saturated mixture
d - saturated vapor
e - superheated vapor
Considering that the system is heated at constant
pressure where P = 101.325 KPa, the 100C is the
saturation temperature corresponding to 101.325 KPa,
and 101.325 KPa is the saturation pressure correspon-
ding 100C.
P
P P
P
P
Q
30°C
100°C
100°C 100°C
T100°C
(a) (b) (c) (d) (e)
Q Q Q Q
Saturation Temperature (tsat) - is the highest temperature at a given pressure in which
vaporization takes place.
Saturation Pressure (Psat) - is the pressure corresponding to the temperature.
Sub-cooled Liquid - is one whose temperature is less than the saturation temperature
corresponding to the pressure.
Compressed Liquid - is one whose pressure is greater than the saturation pressure
corresponding to the temperature.
Saturated Liquid - a liquid at the saturation temperature
Saturated Vapor - a vapor at the saturation temperature
Saturated Mixture - a mixture of liquid and vapor at the saturation temperature.
Superheated Vapor - a vapor whose temperature is greater than the saturation temper
a
b c d
e

T

F
Saturated Vapor
Saturated Vapor
30°C
100°C
t 100°C
Saturated Mixture
P = C
Critical Point
T- Diagram
a
b c d
e

T
S
F
Saturated Vapor
Saturated Vapor
30°C
100°C
t 100°C
Saturated Mixture
P = C
Critical Point
T-S Diagram
F(critical point)- at the critical point the temperature and pressure is unique.
For Steam: At Critical Point, P = 22.09 MPa; t = 374.136C
a
b c d
e

T
S
F
Saturated Vapor
Saturated Vapor
ta
tsat
te
Saturated Mixture
P = C
Critical Point
T-S Diagram
tsat - saturation temperature corresponding the pressure P
ta - sub-cooled temperature which is less than tsat
te - superheated vapor temperature that is greater than tsat
h-S (Enthalpy-Entropy Diagram)
h
S
t = C (constant temperature curve)
P = C (constant pressure curve)F

I
II
III
I - subcooled or compressed liquid
region
II - saturated mixture region
III - superheated vapor region
Entropy(S): Entropy is that property of a substance that determines the
amount of randomness and disorder of a substance. During a process if
an amountof heat is taken and is divided by the absolute temperature at
which it is taken, the result is called the “Entropy Change”

T
dQ
S
Quality (x):
Lv
v
Lv
v
mmm
m
m
mm
m
x




Where:
mv – mass of vapor
mL – mass of liquid
m – total mass
x- quality
The properties at saturated liquid, saturated vapor, superheated
vapor and sub-cooled or compressed liquid can be determined
from tables. But for the properties at saturated mixture (liquid
and vapor) they can be determined by the equation
rc = rf + x(rfg)
rfg = rg – rf
Where: r stands for any property (, U, h and S)
rg – property at saturated vapor (from table)
rf – property at saturated liquid
Note: The properties at siub-cooled or compressed liquid is
approximately equal to the properties at saturated liquid
corresponding the sub-cooled temperature.
Throttling Calorimeter
Main Steam Line
P1 – steam line
pressure
To main steam line
P2 -Calorimeter pressure
h1 = h2
h1 = hf1 + x1(hfg1)
Where:
1 – main steam line
2 - calorimeter
thermometer
P1
P2
1
2
T
S
h = C
T-S Diagram Throttling Process
P1 – steam line pressure
P2 – calorimeter pressure

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Chapter 4 (propertiesof pure substance)

  • 1. PROPERTIES OF PURE SUBSTANCE a - sub-cooled liquid b - saturated liquid c - saturated mixture d - saturated vapor e - superheated vapor Considering that the system is heated at constant pressure where P = 101.325 KPa, the 100C is the saturation temperature corresponding to 101.325 KPa, and 101.325 KPa is the saturation pressure correspon- ding 100C. P P P P P Q 30°C 100°C 100°C 100°C T100°C (a) (b) (c) (d) (e) Q Q Q Q
  • 2. Saturation Temperature (tsat) - is the highest temperature at a given pressure in which vaporization takes place. Saturation Pressure (Psat) - is the pressure corresponding to the temperature. Sub-cooled Liquid - is one whose temperature is less than the saturation temperature corresponding to the pressure. Compressed Liquid - is one whose pressure is greater than the saturation pressure corresponding to the temperature. Saturated Liquid - a liquid at the saturation temperature Saturated Vapor - a vapor at the saturation temperature Saturated Mixture - a mixture of liquid and vapor at the saturation temperature. Superheated Vapor - a vapor whose temperature is greater than the saturation temper a b c d e  T  F Saturated Vapor Saturated Vapor 30°C 100°C t 100°C Saturated Mixture P = C Critical Point T- Diagram
  • 3. a b c d e  T S F Saturated Vapor Saturated Vapor 30°C 100°C t 100°C Saturated Mixture P = C Critical Point T-S Diagram F(critical point)- at the critical point the temperature and pressure is unique. For Steam: At Critical Point, P = 22.09 MPa; t = 374.136C
  • 4. a b c d e  T S F Saturated Vapor Saturated Vapor ta tsat te Saturated Mixture P = C Critical Point T-S Diagram tsat - saturation temperature corresponding the pressure P ta - sub-cooled temperature which is less than tsat te - superheated vapor temperature that is greater than tsat
  • 5. h-S (Enthalpy-Entropy Diagram) h S t = C (constant temperature curve) P = C (constant pressure curve)F  I II III I - subcooled or compressed liquid region II - saturated mixture region III - superheated vapor region Entropy(S): Entropy is that property of a substance that determines the amount of randomness and disorder of a substance. During a process if an amountof heat is taken and is divided by the absolute temperature at which it is taken, the result is called the “Entropy Change”  T dQ S
  • 6. Quality (x): Lv v Lv v mmm m m mm m x     Where: mv – mass of vapor mL – mass of liquid m – total mass x- quality The properties at saturated liquid, saturated vapor, superheated vapor and sub-cooled or compressed liquid can be determined from tables. But for the properties at saturated mixture (liquid and vapor) they can be determined by the equation rc = rf + x(rfg) rfg = rg – rf Where: r stands for any property (, U, h and S) rg – property at saturated vapor (from table) rf – property at saturated liquid Note: The properties at siub-cooled or compressed liquid is approximately equal to the properties at saturated liquid corresponding the sub-cooled temperature.
  • 7. Throttling Calorimeter Main Steam Line P1 – steam line pressure To main steam line P2 -Calorimeter pressure h1 = h2 h1 = hf1 + x1(hfg1) Where: 1 – main steam line 2 - calorimeter thermometer
  • 8. P1 P2 1 2 T S h = C T-S Diagram Throttling Process P1 – steam line pressure P2 – calorimeter pressure