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Isothermal process


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T(t) = {\rm const} \Leftrightarrow \frac{\partial T}{\partial t} = 0



Isobaric process


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P(t) = {\rm const} \Leftrightarrow \frac{\partial P}{\partial t} = 0



Isochoric process


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V(t) = {\rm const} \Leftrightarrow \frac{\partial V}{\partial t} = 0



Isentropic process


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S(t) = {\rm const} \Leftrightarrow \frac{\partial S}{\partial t} = 0



Adiabatic process


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\frac{\partial (Q^{\downarrow}-Q^{\uparrow})}{\partial t} = 0


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