Can the Sun Heat a Liquid to Five Times Its Own Temperature?

[steve233]

Homework Statement

Is it possible to use the heat of the sun to heat a liquid (arbitrary liquid) to a temperature that is hotter than the sun, say 5 times hotter?

Homework Equations

Concepts in thermal equilibrium

The Attempt at a Solution

My answer is no since you can't get more heat from what is not there. On the other hand, if you can focus the energy from the sun then this is where I am unsure.

Thanks

 

[zheng89120]

No, this is not possible, because heating something to be hotter than the source, requires a decrease in entropy (don't have the equation relating to this with me, one that relates S to T), which according to T-D is virtually impossible.