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Energy conservation: heat in equals internal-energy change plus work done.
Specific heats at constant P vs V; the Mayer relation.
Constant-temperature gas process; PV = const.
No heat exchange; PV^γ = const along the path.
Heat flows spontaneously only from hot to cold (Kelvin–Planck / Clausius).
Engine vs refrigerator vs heat pump and their performance coefficients.