Work is consumed by a pump moving liquid He from a tank to a superconducting computer system. Before the system is turned on, both the pump and the computer are at equilibrium with the surroundings. After the pump is turned on it takes delta t time before steady state operation is reached.
a.) Draw a schematic of the multicomponent system at t=0.
b.) Draw a schematic of the multicomponent system at t=delta t.
c.) What is the amount of reversible work input to the pump in delta t time assume that the pump contracts due to thermal expansion
(delta Vcv,pump= Vcv,pump,steady state - Vcvpump,initial) and that the average pump temperature is equal to
T(t)=(Tin,He - Tout,He(t))/2, where,
Tin,He=Ttank,He= 4K, Tcomp,steady state= 10 K, and Tout,pump,steady state= 6K.