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Physics · Thermodynamics

Zeroth Law of Thermodynamics: Thermal Equilibrium

CC BY 4.0 · OpenStax · approximately 8 min read

Learning objectives

Section Learning Objectives

By the end of this section, you will be able to do the following:

  • Explain the zeroth law of thermodynamics

Teacher Support

The learning objectives in this section will help your students master the following standards:

  • (6) Science concepts. The student knows that changes occur within a physical system and applies the laws of conservation of energy and momentum. The student is expected to:
    • (G) analyze and explain everyday examples that illustrate the laws of thermodynamics, including the law of conservation of energy and the law of entropy.

Section Key Terms

thermal equilibrium zeroth law of thermodynamics

Teacher Support

[BL][OL] Review the concept of heat as the transfer of energy due to a temperature difference.

[OL] Ask students what the direction of heat flow would be if an ice cube were melting in a glass of soda or if a glass of hot water were placed in a room. Give a few more examples. Ask students how long the heat transfer would take place. What causes the heat transfer to occur?

We learned in the previous chapter that when two objects (or systems) are in contact with one another, heat will transfer thermal energy from the object at higher temperature to the one at lower temperature until they both reach the same temperature. The objects are then in thermal equilibrium, and no further temperature changes will occur if they are isolated from other systems. The systems interact and change because their temperatures are different, and the changes stop once their temperatures are the same. Thermal equilibrium is established when two bodies are in thermal contact with each other—meaning heat transfer (i.e., the transfer of energy by heat) can occur between them. If two systems cannot freely exchange energy, they will not reach thermal equilibrium. (It is fortunate that empty space stands between Earth and the sun, because a state of thermal equilibrium with the sun would be too toasty for life on this planet!)

If two systems, A and B, are in thermal equilibrium with each other, and B is in thermal equilibrium with a third system, C, then A is also in thermal equilibrium with C. This statement may seem obvious, because all three have the same temperature, but it is basic to thermodynamics. It is called the zeroth law of thermodynamics.

Teacher Support

[AL] Ask students how we receive the energy of the sun, and yet the sun and Earth never reach thermal equilibrium.

The zeroth law of thermodynamics is very similar to the transitive property of equality in mathematics: If a = b and b = c, then a = c.

You may be wondering at this point, why the wacky name? Shouldn’t this be called the first law of thermodynamics rather than the zeroth? The explanation is that this law was discovered after the first and second laws of thermodynamics but is so fundamental that scientists decided it should logically come first.

As an example of the zeroth law in action, consider newborn babies in neonatal intensive-care units in hospitals. Prematurely born or sick newborns are placed in special incubators. These babies have very little covering while in the incubators, so to an observer, they look as though they may not be warm enough. However, inside the incubator, the temperature of the air, the cot, and the baby are all the same—that is, they are in thermal equilibrium. The ambient temperature is just high enough to keep the baby safe and comfortable.

Teacher Support

[OL][AL] Ask students to come up with more everyday examples of heat transfer that demonstrate the zeroth law of thermodynamics.

Thermodynamics Engineer

Thermodynamics engineers apply the principles of thermodynamics to mechanical systems so as to create or test products that rely on the interactions between heat, work, pressure, temperature, and volume. This type of work typically takes place in the aerospace industry, chemical manufacturing companies, industrial manufacturing plants, power plants (Figure_12_01_engineer), engine manufacturers, or electronics companies.

View original figure (external; image not reproduced in this text edition)

Original figure description: A woman wearing a hardhat walks between steaming pipes.

An engineer makes a site visit to the Baghdad South power plant.

The need for energy creates quite a bit of demand for thermodynamics engineers, because both traditional energy companies and alternative (green) energy startups rely on interactions between heat and work and so require the expertise of thermodynamics engineers. Traditional energy companies use mainly nuclear energy and energy from burning fossil fuels, such as coal. Alternative energy is finding new ways to harness renewable and, often, more readily available energy sources, such as solar, water, wind, and bio-energy.

A thermodynamics engineer in the energy industry can find the most efficient way to turn the burning of a biofuel or fossil fuel into energy, store that energy for times when it’s needed most, or figure out how to best deliver that energy from where it’s produced to where it’s used: in homes, factories, and businesses. Additionally, he or she might also design pollution-control equipment to remove harmful pollutants from the smoke produced as a by-product of burning fuel. For example, a thermodynamics engineer may develop a way to remove mercury from burning coal in a coal-fired power plant.

Thermodynamics engineering is an expanding field, where employment opportunities are expected to grow by as much as 27 percent between 2012 and 2022, according to the U.S. Bureau of Labor Statistics. To become a thermodynamics engineer, you must have a college degree in chemical engineering, mechanical engineering, environmental engineering, aerospace engineering, civil engineering, or biological engineering (depending on which type of career you wish to pursue), with coursework in physics and physical chemistry that focuses on thermodynamics.

What would be an example of something a thermodynamics engineer would do in the aeronautics industry?

  1. Test the fuel efficiency of a jet engine
  2. Test the functioning of landing gear
  3. Test the functioning of a lift control device
  4. Test the autopilot functions

Check Your Understanding

Teacher Support

Use these questions to assess student achievement of the section’s Learning Objectives. If students are struggling with a specific objective, these questions will help identify which and direct students to the relevant content.

Source link

What is the zeroth law of thermodynamics?

  1. Energy can neither be created nor destroyed in a chemical reaction.
  2. If two systems, A and B, are in thermal equilibrium with each other, and B is in thermal equilibrium with a third system, C, then A is also in thermal equilibrium with C.
  3. Entropy of any isolated system not in thermal equilibrium always increases.
  4. Entropy of a system approaches a constant value as temperature approaches absolute zero.

Section Summary

  • Systems are in thermal equilibrium when they have the same temperature.
  • Thermal equilibrium occurs when two bodies are in contact with each other and can freely exchange energy.
  • The zeroth law of thermodynamics states that when two systems, A and B, are in thermal equilibrium with each other, and B is in thermal equilibrium with a third system, C, then A is also in thermal equilibrium with C.

Concept Items

When are two bodies in thermal equilibrium?

  1. When they are in thermal contact and are at different pressures
  2. When they are not in thermal contact but are at the same pressure
  3. When they are not in thermal contact but are at different temperatures
  4. When they are in thermal contact and are at the same temperature

What is thermal contact?

  1. Two objects are said to be in thermal contact when they are in contact with each other in such a way that the transfer of energy by heat can occur between them.
  2. Two objects are said to be in thermal contact when they are in contact with each other in such a way that the transfer of energy by mass can occur between them.
  3. Two objects are said to be in thermal contact when they neither lose nor gain energy by heat. There is no transfer of energy between them.
  4. Two objects are said to be in thermal contact when they only gain energy by heat. There is transfer of energy between them.

To which mathematical property is the zeroth law of thermodynamics similar?

  1. Associative property
  2. Commutative property
  3. Distributive property
  4. Transitive property

Critical Thinking

What are the necessary conditions for energy transfer by heat to occur between two bodies through the process of conduction?

  1. They should be at the same temperature, and they should be in thermal contact.
  2. They should be at the same temperature, and they should not be in thermal contact.
  3. They should be at different temperatures, and they should be in thermal contact.
  4. They should be at different temperatures, and they should not be in thermal contact.

Oil is heated in a pan on a hot plate. The pan is in thermal equilibrium with the hot plate and also with the oil. The temperature of the hot plate is 150 °C . What is the temperature of the oil?

  1. 160 °C
  2. 150 °C
  3. 140 °C
  4. 130 °C

Test Prep Multiple Choice

Source link

Name any two industries in which the principles of thermodynamics are used.

  1. aerospace and information technology (IT) industries
  2. industrial manufacturing and aerospace
  3. mining and textile industries
  4. mining and agriculture industries

Test Prep Short Answer

What does green energy development entail?

  1. Green energy involves finding new ways to harness clean and renewable alternative energy sources.
  2. Green energy involves finding new ways to conserve alternative energy sources.
  3. Green energy involves decreasing the efficiency of nonrenewable energy resources.
  4. Green energy involves finding new ways to harness nonrenewable energy resources.

Why are the sun and Earth not in thermal equilibrium?

  1. The mass of the sun is much greater than the mass of Earth.
  2. There is a vast amount of empty space between the sun and Earth.
  3. The diameter of the sun is much greater than the diameter of Earth.
  4. The sun is in thermal contact with Earth.

Test Prep Extended Response

Source link

Glossary

thermal equilibrium
condition in which heat no longer transfers energy between two objects that are in contact; the two objects have the same temperature
zeroth law of thermodynamics
states that if two objects are in thermal equilibrium, and a third object is in thermal equilibrium with one of those objects, it is also in thermal equilibrium with the other object
← IntroductionFirst law of Thermodynamics: Thermal Energy and Work →

Attribution. Physics, OpenStax, Rice University, and the contributing authors credited in the book. Licensed under Creative Commons Attribution 4.0 International. Source revision 56e71824e7 of openstax/osbooks-physics (2026-10-13). CC BY 4.0. Original source ↗. Text edition of a pinned CC BY 4.0 source revision of the OpenStax book, converted from CNXML by the EvidenceHelix importer. Original prose, learning objectives, tables, exercises, glossary and captions are preserved; images are not copied (figures link to the original source and keep their credits). No new content was added. Later revisions of this book can carry different licence terms and are not used.

In this chapter Contents

  • Introduction
  • Zeroth Law of Thermodynamics: Thermal Equilibrium
  • First law of Thermodynamics: Thermal Energy and Work
  • Second Law of Thermodynamics: Entropy
  • Applications of Thermodynamics: Heat Engines, Heat Pumps, and Refrigerators

Source

OpenStax source file ↗

Illustrated original ↗

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