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manimaran1605
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There exist exact differential for P (Pressure) ,V (volume) ,T (temperature), U (Internal Energy) but not for W(work), Q (heat) . Why?
Thermodynamics is the branch of physics that deals with the study of heat and its conversion into other forms of energy.
Exact differentials in thermodynamics refer to the mathematical concept of a differential quantity that is independent of the path taken to reach a certain state. In other words, it is a differential that represents a physical quantity that is not affected by the process of getting there.
Exact differentials are used in thermodynamics to determine the change in a state function, such as internal energy or entropy, without having to know the exact path taken to reach that state. This makes calculations and predictions much simpler and more accurate.
One example of an exact differential in thermodynamics is the change in internal energy (dU) of a system, which is equal to the heat added (dQ) to the system minus the work done (dW) by the system. This relationship, known as the first law of thermodynamics, holds true regardless of the specific process or path taken to reach the final state.
Exact differentials are closely related to the first and second laws of thermodynamics. The first law states that energy cannot be created or destroyed, but can only change forms, while the second law states that the total entropy of an isolated system will always increase over time. Exact differentials allow us to accurately calculate and predict changes in energy and entropy without having to consider the specific path or process involved.