Fundamental Thermodynamics Relation

In summary, the Fundamental Thermodynamics Relation is a mathematical expression that describes the relationship between the internal energy, entropy, and volume of a thermodynamic system. It is derived from the First Law of Thermodynamics and is a fundamental principle in the study of thermodynamics. It allows scientists to understand and predict the behavior of thermodynamic systems and serves as the basis for many other thermodynamic equations and principles. It is also a universal equation that can be applied to all thermodynamic systems, but may need to be modified for certain systems.
  • #1
Silviu
624
11
Hello! I am a bit confused by the formula ##dU = TdS - PdV##. If I want to compute for example ##\frac{\partial U}{\partial V}## I obtain ##-P##, but how should I proceed to obtain, for example ##\frac{\partial U}{\partial P}## or ##\frac{\partial P}{\partial T}## which are not obvious from the equation? Thank you!
 
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  • #2
For those partial derivatives you mention, you need to specify what is being held constant.
 

1. What is the Fundamental Thermodynamics Relation?

The Fundamental Thermodynamics Relation is a mathematical expression that describes the relationship between the internal energy, entropy, and volume of a thermodynamic system. It is also known as the First Law of Thermodynamics and is a fundamental principle in the study of thermodynamics.

2. How is the Fundamental Thermodynamics Relation derived?

The Fundamental Thermodynamics Relation is derived from the First Law of Thermodynamics, which states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system. By rearranging this equation and using the definition of entropy, the Fundamental Thermodynamics Relation is obtained.

3. What is the significance of the Fundamental Thermodynamics Relation?

The Fundamental Thermodynamics Relation is important because it serves as a fundamental principle in the field of thermodynamics. It allows scientists to understand and predict the behavior of thermodynamic systems and is the basis for many other thermodynamic equations and principles.

4. How does the Fundamental Thermodynamics Relation relate to other thermodynamic equations?

The Fundamental Thermodynamics Relation is a fundamental equation in thermodynamics and is used to derive other important equations, such as the ideal gas law, the Gibbs-Duhem equation, and the Maxwell relations. It also provides a link between macroscopic properties of a system, such as temperature and pressure, and microscopic properties, such as molecular energy and entropy.

5. Can the Fundamental Thermodynamics Relation be applied to all thermodynamic systems?

Yes, the Fundamental Thermodynamics Relation is a universal equation that can be applied to all thermodynamic systems, regardless of their composition or complexity. This is because it is based on fundamental principles and is not limited to specific types of systems. However, it may need to be modified for certain systems, such as non-ideal gases or systems undergoing phase transitions.

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