Thermodynamics (Closed System) questions

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In a closed system where mass is conserved, infinitesimal quantities must adhere to the principle of conservation, meaning that any change in one component must be balanced by changes in others. This constraint implies that the system will reach a specific equilibrium phase where all properties remain constant over time. In an isovolumic, isothermal change, the argument shifts to consider how temperature and volume constraints affect the internal energy and pressure of the system. The equilibrium phases may vary depending on the interactions between the system's components under these conditions. Overall, understanding these constraints is crucial for analyzing thermodynamic processes in closed systems.
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If I have a closed system where mass is conserved, what constraint will this bring on the system in terms of infinitesimal quantities. What conclusions can I then draw about the phases at this kind of equilibrium? Suppose we had an isovolumic, isothermal change, how would I have to alter my argument?
 
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