Unformatted text preview: will be key to solving problems efficiently. Alternate Definitions Using the Energy Above we showed how to define the variables in terms of the energy, but we can bypass the energy by keeping it constant. For example, suppose the energy U were held constant, as were the number of particles. Though we will gloss over some mathematics here, it seems plausible that you could then write: p = τ . Moreover, we can use the definitions of the other energies to obtain more complex formulations of the variables. Take F = U τσ . We know that p =  . We can take the derivative to obtain: p =  + τ This result is interesting because we can think of the first term as the pressure due to energy and the second as the pressure due to the entropy....
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 Fall '10
 DavidJudd
 Physics, Thermodynamics, Energy, Entropy, Alternate Definitions

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