Transcript Slide 1

THERMODYNAMICS
Properties of Pure
Substance
Properties of Pure Substance
Pure Substance
A substance that has a fixed chemical
composition throughout
oil
air
water
Properties of Pure Substance
Properties of Pure Substance
In this picture of a geyser in
Yellowstone National Park,
water is present as steam from
the geyser, as liquid water in the
pools, as snow on the ground,
and as ice.
Since water is a pure
substance, a mixture of steam,
liquid water, snow, and ice is still
a pure substance.
Properties of Pure Substance
Phase Change Processes
Properties of Pure Substance
T-υ Diagram
T, °C
υ, m3/kg
Properties of Pure Substance
Consider:
Piston-cylinder device
containing liquid water at 20°C,
1 atm
State :
Properties of Pure Substance

Heat is added until about 40°C
 T , liquid expands slightly,
υ
 Piston moves up
* State :
Properties of Pure Substance

Add more heat
 T= 100°C
 Phase: liquid
- any addition of heat will vaporize
State:
Properties of Pure Substance

More heat added-boils
~T constant until completely
vaporized
~increase in volume, decrease
liquid level, increase vapor
 Midway- equal L&V
State:
Properties of Pure Substance

More heat until last liquid
vaporizes
 Lost of heat vapor will
condense (become liquid)
State:
Properties of Pure Substance

More heat
 T ,υ
 Lost of heat, T , condensation
will not occur until it reaches
100°C
State:
Properties of Pure Substance
Properties of Pure Substance
Properties of Pure Substance
X
Water boils at 100°C
Properties of Pure Substance
Psat & Tsat
“The temperature at which water starts
boiling depends on the pressure.”
Tsat – Saturation T
~ T at which pure substance changes phase
Psat – Saturation P
~ P at which pure substance changes phase
Properties of Pure Substance
Properties of Pure Substance
Properties of Pure Substance
Properties of Pure Substance
Properties of Pure Substance
Properties of Pure Substance
Property Table
Temperature
Corresponding saturation P
Properties of Pure Substance
Enthalpy
Outlet (P,υ, u)
Inlet (P,υ, u)
H = U+PV (kJ)
h = u+Pυ (kJ/kg)
Properties of Pure Substance
Problem
A rigid tank contains 50 kg of
saturated liquid water at 90°C.
Find the pressure in the tank
and the volume of the tank.
Properties of Pure Substance
Saturated Liquid Vapor Mixture
Proportions
(L&V)
Vapor
Liquid
Properties?
Properties of Pure Substance
Saturated Liquid Vapor
Mixture
Proportions of Liquid & Vapor
x 
mvapor
mtotal
x = quality / dryness fraction
mtotal = mg + mf
Properties of Pure Substance
Saturated Liquid Vapor Mixture
Total V of the wet vapour = (V vapour) + (V liquid)
V = mv = xmvg + (1-x)mvf
Specific volume v of the wet vapour
v = xvg + (1-x)vf
v = vf + x vfg
where vfg = vg - vf
Properties of Pure Substance
Saturated Liquid Vapor Mixture
In general, for any intensive property r (v,h,u,s) of a
wet vapour,
Properties of Pure Substance
Saturated Liquid Vapor Mixture
x=1, no liquid,dry saturated vapor
x=0, no vapor, saturated liquid
0<x<1, saturated liquid vapor mix
x<0, x>1, impossible
Properties of Pure Substance
Saturated Liquid Vapor Mixture
A rigid tank contains 10 kg of water at
90°C. If 8 kg of water is in the liquid
form and the rest is vapor, determine
the pressure and the volume of the
tank.
Properties of Pure Substance
Superheated Vapor
Determine the temperature of water at
P=0.5MPa and h=2890 kJ/kg.
Linear Interpolation
 x  x1 
 y2  y1 
y  y1  
 x2  x1 
T
h
y1 200
y
y2 250
2855.4
x1
2890
x
2960.7
x2
Properties of Pure Substance
Compressed Liquid
Determine the internal energy of
compressed liquid water at 80°C and
5MPa.
Ideal Gas
Equation of State
PV=nRT
PV=mRT
Ru
R 
MW
or
Pυ=RT
R = gas constant
Ru=universal gas constant,
Ru=8.314 kJ/kmolK
MW=molecular weight of the
gas
Ideal Gas
Determine the mass of air in a room
whose dimensions are 4m x 5m x 6m.
(MWair= 29 kg/kmol)