What are Thermodynamic Coordinates and Why are Heat and Work Not Included?

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SUMMARY

Thermodynamic coordinates are specific quantities such as temperature (T), volume (V), and pressure (p) that define the state of a thermodynamic system. Unlike heat and work, which represent energy in transit and are not properties of the system, thermodynamic coordinates are functions of state that can be plotted on diagrams like P-V, T-S, and P-H. These coordinates allow for the expression of all gas properties, including internal energy and entropy, as functions of just two variables. Understanding these distinctions is crucial for analyzing thermodynamic processes effectively.

PREREQUISITES
  • Understanding of thermodynamic properties such as internal energy and entropy
  • Familiarity with P-V, T-S, and P-H diagrams
  • Basic knowledge of gas laws and behavior
  • Concept of functions of state in thermodynamics
NEXT STEPS
  • Research the concept of functions of state in thermodynamics
  • Study the derivation and application of P-V and T-S diagrams
  • Explore the implications of heat and work in thermodynamic processes
  • Learn about the relationships between thermodynamic properties using Maxwell's relations
USEFUL FOR

Students and professionals in physics and engineering, particularly those specializing in thermodynamics, energy systems, and related fields.

renhoran
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i don't really understand which quantities are thermodinamic coordinates and which are not. and what makes work and heat are not thermodinamic coordinates but temperature, volume, etc are thermodinamic coordinates?
 
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What do you mean by "thermodynamic coordinates"? If you mean those P-V, T-S, P-H diagrams and such then work and heat are as a result of the changes in pressure, temperature, enthalpy and so on.

So it makes more sense to plot state changes rather than the work done in the process.
 
Take the simple example of a sample of gas with a fixed number of molecules. It need not be ideal. Its temperature, T, can be expressed as a function of just two variables, volume, V, and pressure, p. We can, it turns out, express all gas properties as functions of just two variables (such as p and V or p and T). These properties include refractive index, viscosity, internal energy, entropy, enthalpy, the Helmholtz function, the Gibbs function. We call these properties 'functions of state'. The state is determined by the values of just two variables.

Heat and work are not functions of state. They are not properties of the gas. They both represent energy in transit to or from the system, not energy residing in the system.
 

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