Example Problems


Tutorial 1 Examples: Thermodynamic Concepts and Terminology

Tutorial 2 Examples: Thermodynamic Properties of Pure Substances

Tutorial 3 Examples: Energy, Work, and Heat

Tutorial 4 Examples: The First Law: Energy Balance Analysis

Tutotial 5 Examples: Reversible and Irreversible Processes

Tutorial 6 Examples: Entropy and the Second Law

Tutorial 7 Examples: Second Law Applications

Tutorial 8 Examples: Analysis of Thermodynamic Cycles

Tutorial 9 Examples: Gas Power Systems

Tutorial 10 Examples: Vapor Power Systems

Tutorial 11 Examples: Refrigeration and Heat Pumps


Tutorial 1 Examples: Thermodynamic Concepts and Terminology

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Example #:
Description
1-1
Force and acceleration: SI units

1-2

Force and acceleration: SI units

1-3

Force and acceleration: SI units

1-4

Specific volume

1-5

Kinetic energy, potential energy, and gc

1-6

Pressure units

1-7

Pressure of gas in a cylinder/piston system

1-8

Temperature units

1-9

Unit conversion: USCS to SI

Tutorial 2 Examples: Thermodynamic Properties of Pure Substances

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Example #:
Description

2-1

Linear interpolation of tabulated data

2-2

Phase and quality of water at different states

2-3

Property tables: H2O

2-4

Property changes in a process: H2O

2-5

Enthalpy change for a process: H2O

2-6

Determining properties of a compressed liquid

2-7

Determining properties of steam at several states

2-8

Determing properties at the end of a process

2-9

Enthalpy change for a process: H2O

2-10

Ideal gas equation: helium

2-11

Ideal gas equation in a heating process: oxygen

2-12

Ideal gas equation: air

2-13

Validity of the ideal gas equation

2-14

Using the Z chart for a process

2-15

Find v for gas using the Z chart

2-16

Using the Z chart for a process

2-17

Determining enthalpy changes: nitrogen

Tutorial 3 Examples: Energy, Work, and Heat

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Example #:
Description

3-1

Work for heating H2O in cylinder with spring

3-2

Work for compressing air in cylinder with cooling

3-3

Work for compressing a gas along a specified P-V path

3-4

Work for compressing a gas in a cylinder with a spring

3-5

Work for an isobaric process: H2O

3-6

Work with cooling for H2O in a cylinder

3-7

Work with heating of H2O in a cylinder

3-8

Work with cooling for H2O in a cylinder

3-9

Work with heating of H2O in a cylinder

3-10

Heat transfer to H20 in a cylinder with a spring

Tutorial 4 Examples: The First Law: Energy Balance Analysis

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Example #:
Description

4-1

Heat transfer to H2O in cylinder

4-2

Heat transfer and work for H2O in cylinder

4-3

Heat transfer and work for H2O in cylinder

4-4

Heat transfer in an isobaric process for an ideal gas

4-5

Heat transfer between solid blocks

4-6

Cooling of a tank containing air

4-7

Heat transfer between solid blocks

4-8

Expansion of steam in a container

4-9

Work and heat tranfer for gases in a cylinder

4-10

Work and heat tranfer for a cycle

4-11

Work and heat transfer for air in a cylinder
Filling or emptying of a tank with water

4-13

Filling of a conical tank with water
Steam lift (unsteady flow unsteady state)

4-15

Filling of a helium balloon

4-16

Charging of an air tank with heat transfer
Flow splitter with H2O

4-18

Mixing box: air

4-19

Multiflow system with work and heat transfer: H2O
Ammonia diffuser

4-21

Steam nozzle with heat transfer

4-22

Adiabatic air nozzle

4-23

Flow through a valve: air and steam
Air compressor

4-25

Oxygen compressor

4-26

Adiabatic water pump

4-27

Adiabatic water pump
Adiabatic air turbine

4-29

Steam turbine with heat transfer

4-30

Steam boiler and turbine

4-31

Steam turbine with heat transfer
Water-cooled steam condensor

4-33

Air-water heat exchanger

Tutotial 5 Examples: Reversible and Irreversible Processes

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Example #:
Description

5-1

Reversible and irreversible processes

Tutorial 6 Examples: Entropy and the Second Law

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Example #:
Description

6-1

Entropy increase concepts

6-2

Entropy increase concepts

6-3

Entropy changes for system and surroundings

6-4

Entropy change for air

6-5

Isothermal reversible work and heat transfer for air

6-6

Isothermal work for air: reversible vs. irreversible

Tutorial 7 Examples: Second Law Applications

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Example #:
Description
Control mass with sgen: ideal gas
Control mass (piston/cylinder): ideal gas
Control mass with sgen: H2O
Control mass with 1st Law: H2O
Control mass (piston/cylinder), reversible or irreversible: H2O
Control mass, reversible and adiabatic: H2O
Control mass, reversible, process diagrams
Unsteady flow: argon
Steady flow: H2O
Reversible adiabatic nozzle: air
Reversible adiabatic 2-stage compressor: air
Discharge of a tank, unsteady: air
Control volume, turbine and compressor: H20 and air
Control volume, turbine efficiency: H20
Control volume, turbine and pump: air and H20
Control volume, turbine with sgen and T-s diagram: air

Tutorial 8 Examples: Analysis of Thermodynamic Cycles

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Example #:
Description
Powerplant energy balance
External combustion engine efficiency
Carnot heat engine
Carnot solar powerplant
Carnot solar powerplant
Carnot solar powerplant
Freezer COP
Heat pump COP
Refrigerator and heat pump COP
Validity of claims: power and heat pump cycles

Tutorial 9 Examples: Gas Power Systems

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Example #:
Description
Air standard analysis
Otto cycle- air standard
Otto cycle- air standard
Otto cycle- air standard with engine modifications
Diesel cycle- air standard
Diesel cycle- air standard
Diesel cycle- air standard
9-8 Brayton cycle- air standard
9-9 Brayton cycle- air standard
9-10 Brayton cycle- nonideal with reheat
9-11 Brayton cycle- nonideal with intercooling
9-12 Brayton cycle- nonideal with reheat and intercooling
9-13 Brayton cycle- jet engine

Tutorial 10 Examples: Vapor Power Systems

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Example #:
Description
Rankine cycle- no superheat
Rankine cycle with superheat
Rankine cycle with superheat- nonideal
Rankine cycle with reheat- ideal
Rankine cycle with reheat- nonideal

Tutorial 11 Examples: Refrigeration and Heat Pumps

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Example #:
Description
Vapor compression refrigeration, R-134a- ideal
Vapor compression refrigeration, R-134a- ideal
Vapor compression refrigeration, R-134a- ideal
Vapor compression refrigeration, R-134a- nonideal
Vapor compression refrigeration, ammonia- nonideal