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The First Law Energy
A General Efficiency Estimate
The First Law and Joules Relation
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9 preserve accumulation function Accumulation Inequality Accumulation Theorem action adiabatic analysis assertion called Caloric Theory Carnot cycles Carnot heat engine Chapter classical thermodynamics Clausius property concept condition conservation property constant multiples curve defined Definition 1.1 dissipation property empirical temperature scale entropy function equivalent exact differential fact follows formula free energy function given heat absorbed heat gained Helmholtz free energy holds homogeneous fluid body hotness level ideal gas 9 II-l illus internal energy function interval isobar isothermal processes latent heat Law with respect laws of thermodynamics Lemma line integral mathematical modern treatments namics non-negative obeys the Second obtain pair perfect accessibility physical systems piecewise positive numbers preserve the Second product operation Proof Rational Mech real number result satisfies the Accumulation Section Serrin standard parameterization statement system with perfect tells Theorem 3.1 theory thermody thermodynamical system upper potential vanishes verify viscous body viscous filament yield