Consider a small system in contact with a thermal reservoir. The system + reservoir are assumed to be isolated from the rest of the universe. Assume that the system has entropy Ssys, internal energy Usys, volume Vsys, and a single particle (Nsys = 1). The corresponding values for the reservoir are Sres, Ures, Vres, and Nres >> Nsys. We will assume that all N are fixed.
A. If the system is in contact with the thermal reservoir, what thermodynamic variable(s) must be equal at equilibrium?
If the system interacts thermally with the reservoir, how is dUsys related to dUres?
If the system interacts mechanically with the reservoir, how is dVsys related to dVres?
What is the effect of an energy transfer on the temperature of the reservoir?
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