Difficult# Heat Transfer: Aluminum and Water

APPH12-QV@04G

A small cube of hot aluminum ($m$ $=$ $500$ $g$; $T$ $=$ $300$ $^{ \circ }{ C }$) is dropped in a $20$ $kg$ bucket of $15^{ \circ }{ C }$ water.

What is the final temperature of the contents in the bucket after equilibrium is reached?

The specific heat capacity of water is $4180$ $\frac { J }{ kg_{ }^{ \circ }{ C } }$ and the specific heat of aluminum is $900$ $\frac { J }{ kg_{ }^{ \circ }{ C } }$.