I'm trying to figure out which set of differential equations describe the following quite general but relatively simple system:(adsbygoogle = window.adsbygoogle || []).push({});

A chamber which volume can be changed by moving a piston filled with a gas. Additionally, gas can be released from the chamber through a relief valve and heat can be added/extracted through the chamber walls.

State of the system described by a certain molar mass of a gas n occupying a volume V at pressure P (assume ideal gas).

The question thus is: what are the differential changes in pressure dP for given differential changes in volume dV, molar mass dn and heat dQ.

In other words: how does this system evolve when volume and mass are simultaneously varied while heat is supplied/extracted?

Additionally, which equations describe the evolution of this system for a non-ideal gas which heat capacities are general functions of temperature (Cp(T), Cv(T)).

I have a basic knowledge of thermodynamics and assume you need to use concepts of internal energy and enthalpy but I cannot figure out how to apply them since neither volume nor pressure are constant.

Thanks for your assistance or discussion!

Christophe

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# Describe thermodynamic system with variable mass, volume, pressure and temperature

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