- #1
Old_sm0key
- 17
- 0
Homework Statement
Show that the energy, E, that needs to be supplied to an ideal refrigerator to cool a mass M with specific heat C by [itex]\Delta[/itex]T from an initial temperature [itex]T_i[/itex] is:
[tex]E\sim \frac{MC\Delta T^2}{2T_i}[/tex]
Homework Equations
Carnot efficiency where T_i is the starting higher temperature: [itex]e=\frac{\Delta T}{T_i}[/itex]
The Attempt at a Solution
I do not know how to marry the Carnot efficiency with Q=MCdeltaT, or why the approx. equal to appears with the 0.5 coefficient!