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GATE 2026 Exam Date Announced – Complete Schedule, Syllabus, and Key Details » GATE Study Materials » Mechanical Engineering » Zeroth and First Laws of Thermodynamics
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Zeroth and First Laws of Thermodynamics

The branch of physical science that deals with the relationship between heat and all the other forms of energy is Thermodynamics.

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Thermal energy can be referred to as the energy which a system or substance has because of its temperature. The heat makes the molecules of that substance or system move or vibrate. Due to thermodynamics, the atoms or molecules of a substance or a system move and interact with each other in an extremely complicated manner but even after that, they can reach a state of equilibrium if they match certain criteria. These interactions can be idealized as the pressure of the system, mass of the system, volume, or any other. It is important to state that the energy which is acquired, comes from the transfer of heat energy between two masses of matter due to differences in the temperature between them. The energy which is generated in the whole process keeps on losing a part of itself due to entropy. As we all know that heat, being a form of energy, cannot be created or it can be destroyed and can only be transferred. In thermodynamics, the same law applies too. There are other three laws of thermodynamics too which are based on the zeroth law of thermodynamics which again, acts as the fundamentals for the corresponding laws. The zeroth law of thermodynamics is concerned with thermal equilibrium and transfer of heat energy.  

Zeroth Law of Thermodynamics

The Zeroth Law of Thermodynamics- According to the Zeroth law of thermodynamics, if two thermodynamic systems are in thermal equilibrium with a third one, then they are in thermal equilibrium with each other. The law simply follows the concept of temperature. 

Therefore, in mathematical expression, the law can be stated as: 

If a=c and b=c, then a=b. (Here, a, b, and c represents three different thermal bodies where a and b have the same temperature and the temperature of c is both equal to a and b. therefore, a=b=c).

Illustration of the law with the help of a diagram: 

Figure 1: Illustration of the Zeroth Law of Thermodynamics

In the above diagram, each of the three blocks represents three different bodies having different temperatures at first but eventually, heat flows from the comparatively hotter object to the colder object until all the objects reach a state of equilibrium in terms of temperature. The flow of heat can be in any direction depending on the temperature. 

Examples of Zeroth Law of Thermodynamics

Example 1: The example of a thermometer in a room is one of the best examples of the zeroth law of thermodynamics. Suppose that the thermometer reading says that the temperature is 28 degrees Celsius. Therefore, the temperatures of the thermostat and the room are the same and any random object in the room will also have the same temperature because objects in the room and the room itself have the same temperature. 

Example 2: If you take a glass of hot water and a glass of cold water and put both the glasses in the refrigerator, after a considerable period, say four hours, both the contents of the water will have the same temperature as the temperature inside the refrigerator as the refrigerator has cooled both the glasses until they have reached their coldest possible temperature and attained thermal equilibrium. 

Example 3: Consider that you put a packet of raw fish in the fridge which has other items inside it too. In the next morning, the temperatures of the raw fish, other items, and the fridge’s interior itself will all have the same temperature. This is another prime example of the zeroth law of thermodynamics.

Importance of the Zeroth Law of Thermodynamics

The zeroth law acts as the fundamentals of the other laws of thermodynamics and the overall core concept of thermodynamics in general. With the help of the zeroth law, the concept of temperature scale can be understood. The thermal equilibrium between two objects and their relationship with a third element if any one of the first two has the same temperature with the third can be proved by this law (If a=c and b=c, then a=b). Here, a, b, and c represents three different thermal bodies where a and b have the same temperature and the temperature of c is both equal to a and b.

Conclusion

Confined by the laws of thermodynamics, the energy change that is witnessed when different materials/matter/substances react or come in contact with each other is the concerned topic of thermodynamics. Thermodynamics has explained all this with the help of the four laws of thermodynamics as discussed earlier. As the first and second laws were formulated before the zeroth law of thermodynamics, the fundamentals regarding the concepts of thermal equilibrium were left behind. It was English Physicist Ralph H. Fowler who proposed the law and named it the ‘Zeroth law of thermodynamics as it was essential to put that law before the statement of the first law of thermodynamics. The thermometer is described as the best example of this law where the mercury in the tube’s temperature coinciding with the room temperature helps us to practically witness the zeroth law in action.
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Get answers to the most common queries related to the GATE Examination Preparation.

What is meant by Thermal Equilibrium?

Answer: By thermal equilibrium, it is meant that if two different bodies come in contact with each other, and...Read full

What are thermodynamics in simple words?

Answer: Thermodynamics is the relationship between the heat of different other matter. Thermodynamics studies...Read full

What is the Zeroth law of thermodynamics called so instead of the first law of thermodynamics?

Answer: The concept or statement of the zeroth law of thermodynamics is very fundamental and all the other la...Read full

What are the four laws of thermodynamics?

Answer: The four laws of thermodynamics are: ...Read full

Who formulated the Zeroth Law of Thermodynamics?

Answer: English Physicist Ralph H. Fowler formulated the Zeroth law of thermodynamics...Read full

Answer: By thermal equilibrium, it is meant that if two different bodies come in contact with each other, and after there is a flow of heat between them if the two bodies have the same temperature after the spontaneous flow of heat. 

Answer: Thermodynamics is the relationship between the heat of different other matter. Thermodynamics studies how heat flows and how it influences the atoms and molecules of a substance and produces energy until it reaches a state of thermal equilibrium.  

Answer: The concept or statement of the zeroth law of thermodynamics is very fundamental and all the other laws must follow this law, to begin with. Because the first and second laws were discovered before the zeroth law of thermodynamics and as the zeroth law was so fundamental that it was only logical that the law stated in the zeroth law should come first. Hence, it was named as the zeroth law as it must be put before any other law (i.e., before the first law of thermodynamics). 

Answer: The four laws of thermodynamics are:

  1. The zeroth law 
  2. The first law
  3. The second law
  4. The third law

Answer: English Physicist Ralph H. Fowler formulated the Zeroth law of thermodynamics in 1931. 

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