- #1
Carlo09
- 15
- 0
Homework Statement
A heat pump takes heat from a hot resevoir and dissipates heat to a cold one. Both resevoirs are equal mass and specific heat capacity. Show that as the heat engine does maximal work the final temp of the resevoirs = Tf = SQRT(TcTh)
Homework Equations
Qin = Wout + Qout
mc(Th-Tf) = Wout + mc(Tf -Tc)
Efficiency = Wout/Win = 1- (Qin/Qout)
The Attempt at a Solution
Well I know i somehow need to get TcTh^2 in order to get the solution so I used efficiecy as 1 for maximal work out but I also assumed no work in which means I'm dividing by 0! Or if I say 1= 1-Qin/Qout then Qout = 1-Qin and now I am just confused. Help please :)