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Path Dependence in Heat Engines: Understanding Equations and Constants

This exploration delves into the principles of heat engines, focusing on the equations governing path-dependent and path-independent processes. Specifically, we analyze Equation (2.37) and its implications for energy independence from pressure at constant temperature. The Ideal Gas Law (PV = nRT) remains constant at a constant temperature, leading to the differential relation d(PV) = PdV + VdP = 0, which reveals the dynamics between pressure and volume changes in thermodynamic systems.

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Path Dependence in Heat Engines: Understanding Equations and Constants

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  1. 19C heat engine

  2. (Eq.2.37)

  3. Path dependent Path independent

  4. (Eq. 3.1a) (Eq. 3.1b)

  5. * * E is independent of P at const T. PV=nRT is constant at constant T d(PV)=PdV+VdP=0 PdV= -VdP

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