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ENGR 2213 Thermodynamics. F. C. Lai School of Aerospace and Mechanical Engineering University of Oklahoma. Thermodynamic Properties of Water. Phase Change of Water. T. v. Thermodynamic Properties of Water. Phase Change of Water. T. v. Thermodynamic Properties of Water.

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engr 2213 thermodynamics

ENGR 2213 Thermodynamics

F. C. Lai

School of Aerospace and Mechanical

Engineering

University of Oklahoma

thermodynamic properties of water
Thermodynamic Properties of Water

Phase Change of Water

T

v

thermodynamic properties of water1
Thermodynamic Properties of Water

Phase Change of Water

T

v

thermodynamic properties of water2
Thermodynamic Properties of Water

Phase Change of Water

T

v

thermodynamic properties of water3
Thermodynamic Properties of Water

Phase Change of Water

T

v

thermodynamic properties of water4
Thermodynamic Properties of Water

Critical point

Phase Change of Water

T

Superheated vapor

Subcooled liquid

Saturated

mixture

Saturated liquid line

Saturated vapor line

v

thermodynamic properties of water5
Thermodynamic Properties of Water

Saturation State

A state at which a phase change begins or ends

Critical Point

Intersection of saturated liquid and saturated vapor

Single-Phase Regions

Subcooled liquid (compressed liquid), superheated vapor

Two-Phase Region

Liquid-vapor mixture

states of water
States of Water

Compressed liquid (Subcooled liquid)

compressed liquid

●For a given T, P > Psat

subcooled liquid

●For a given P, T < Tsat

●For a given v, v < vf

Superheated vapor

superheated vapor

●For a given P, T > Tsat

●For a given T, P < Psat

●For a given v, v > vg

states of water1
States of Water

Saturated mixture

●For a given T, P = Psat

●For a given P, T = Tsat

●For a given v, vf < v < vg

Quality

0 ≤ x ≤ 1

thermodynamic properties of water6
Thermodynamic Properties of Water

P-v-T Relations of Water

water

most substances

thermodynamic properties of water7
Thermodynamic Properties of Water

P-T Diagram of Water

liquid

liquid

Critical point

Critical point

Pressure

Pressure

solid

solid

Triple point

Triple point

vapor

vapor

Temperature

Temperature

thermodynamic property tables of water
Thermodynamic Property Tables of Water

Simple System

A system for which there is only one way the

system energy can be altered by work as the

system undergoes a quasi-equilibrium process.

Simple Compressible System

The only mode of energy transfer by work is

associated with the volume change (expansion or

compression).

thermodynamic property tables of water1
Thermodynamic Property Tables of Water

State Principle (State Postulate)

The number of independent properties required to

specify the state of a system is one plus the number

of relevant work interactions.

Number of independent properties

= 1 + Number of work interactions

The number of independent properties required to

specify the state of a simple compressible system

is two.

thermodynamic property tables of water2
Thermodynamic Property Tables of Water

Single-Phase Region (Compressed Liquid,

Superheated Vapor)

● Temperature and Pressure

● Temperature and Specific Volume

● Pressure and Specific Volume

Two-Phase Region (Saturated Mixture)

● Temperature and Specific Volume

● Temperature and Quality

● Pressure and Specific Volume

● Pressure and Quality

thermodynamic property tables of water3
Thermodynamic Property Tables of Water

● Saturated Water – Temperature Table (A-4)

● Saturated Water – Pressure Table (A-5)

● Superheated Vapor (A-6)

● Compressed Liquid (A-7)

Linear interpolation is required when the states

encountered in problems do not fall exactly on the

values provided by the tables.

example 1
Example 1

A rigid tank contains 50 kg of saturated liquid water

at 100 ºC. Determine the pressure in the tank and

the volume of the tank.

A rigid tank contains 50 kg of saturated liquid water

at 100 ºC. Determine the pressure in the tank and

the volume of the tank.

Table A-4, Psat = 101.35 kPa,

P = Psat = 101.35 kPa

Table A-4, vf = 0.001044 m3/kg,

V = mvf = 50 (0.001044) = 0.052 m3

example 2
Example 2

A piston-cylinder device contains 2 m3 of saturated

water vapor at 100 kPa pressure. Determine the

temperature of the vapor and the mass of the vapor

Inside the cylinder.

A piston-cylinder device contains 2 m3 of saturated

water vapor at 100 kPa pressure. Determine the

temperature of the vapor and the mass of the vapor

inside the cylinder.

Table A-5, Tsat = 99.63 ºC,

T = Tsat = 99.63 ºC

Table A-5, vg = 1.694 m3/kg,

m = V/vg = 2/(1.694) = 1.18 kg

example 3
Example 3

A rigid tank contains 10 kg of water at 90 ºC. If 8 kg

of the water is in the liquid form and the rest is in the

vapor form. Determine the pressure in the tank and

the volume of the tank .

A rigid tank contains 10 kg of water at 90 ºC. If 8 kg

of the water is in the liquid form and the rest is in the

vapor form. Determine the pressure in the tank and

the volume of the tank .

Table A-4, Psat = 70.14 kPa,

P = Psat = 70.14 kPa

Table A-4, vf = 0.001036 m3/kg, vg = 2.361 m3/kg

V = Vf+Vg

= mfvf + mgvg

= 8(0.001036) + 2(2.361) = 4.73 m3

v = vf+x(vg - vf) = 0.001036 + 0.2(2.361 – 0.001036)

= 0.473 m3/kg

V = mv = 10(0.473) = 4.73 m3