Thermal Equilibrium & Zeroth Law Of Thermodynamics

History

Originally, only three laws of thermodynamics were established. In the early 18th century, scientist realized that another law was required to complete this set. The new law presented a formal definition of temperature, superseding the existing laws earning its place at the head of the list.  Now that a new law was formulated, a problem arose! The original three laws were already well known by their assigned numbers, and renumbering them would create a conflict with the existing literature and cause considerable confusion. The alternative, calling this new law the Fourth Law and putting it last on the list, was also problematic because it superseded the other three laws. Ralph H. Fowler came up with a solution for the dilemma by appropriating the idea for a Zeroth Law.

What is Thermal Equilibrium?

We already know that heat is a form of energy. It is a common observation that when we come out of the blanket on a cold morning we feel cold for some time but after that, it becomes normal to some extent. So what exactly is happening? Initially, the heat begins from us to the surrounding and thus we feel cold. So till when heat will flow from us to surrounding? To answer this we introduce something known as temperature. It is basically the measure of hotness or coldness of a body. Heat exchange takes place between two bodies until their temperatures become equal. Also, it flows from a body at a higher temperature to one at a lower temperature.

So now that we know about temperature we are in a position to define thermal equilibrium. It is defined as a situation in which no heat flows from one body to another when brought in contact with each other. In a broader sense when the parameters of the system like volume, pressure, temperature, or composition do not change. As heat does not flow we can also say both bodies acquire the same temperature at equilibrium.

Understanding the Zeroth Law of Thermodynamics

Zeroth law of Thermodynamics

One of the laws related to the thermal equilibrium is the Zeroth law of Thermodynamics. Suppose two bodies are separated by a heat insulator. Now a third body is brought in contact with both the bodies simultaneously. When the bodies attain thermal equilibrium we remove the third body. Now we can also remove the heat insulator and find no heat is transferred from one body to another.

According to Zeroth Law if two bodies I and II are in equilibrium with a body III separately then it follows that body I and body II are also in thermal equilibrium.

As no heat flows from I to III hence, TI  = TIII   similarly TII = TIII. It follows that TI = TII, hence no heat flows.

To learn in details about all the laws of thermodynamics visit the links given below.

Applications of Zeroth Law of Thermodynamics

The zeroth law of thermodynamics can be applied to compare temperatures of more than two objects. If the heat can pass through two objects without any external heating source, the two objects are said to be in thermal equilibrium. For instance, if the swimming pool you are in and your temperatures are similar, no heat flows from either sides apart from minute possibility. While, if you get into the pool cracking through the ice layer, you are not in the state of thermal equilibrium with the water. Please don’t try this experiment. To check for thermal equilibrium mainly in case of frozen pools, you should use a thermometer.

The zeroth law frames an idea of temperature as an indicator of thermal equilibrium. The two given objects are in a state of equilibrium with the third object that gives you the required reading on a scale.  

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