Unformatted text preview: Having all of the variables before us, we will look at what is known as the thermodynamic identity, a crucial equation that we will use throughout our entire study of thermodynamics. We will utilize a mathematical tool known as the Legendre transform to assist in defining three other forms of energy, namely the free energy, the Gibbs free energy and the enthalpy in terms of the energy U and the thermodynamic variables. We will come to understand why there are so many formulations of the energy, and realize how useful these different forms can be for solving problems. We will revisit the thermodynamic identity and look at what each term represents. This analysis will become especially important when we look at engines later. Finally, we will utilize some clever mathematical tricks to obtain the Maxwell Relations....
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 Fall '10
 DavidJudd
 Physics, Thermodynamics, mechanics, Energy, Maxwell relations, thermodynamic variables

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