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# 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 $900$ $\frac { J }{ kg_{ }^{ \circ }{ C } }$.

A

$1.5$ $^{ \circ }{ C }$

B

$283.5$ $^{ \circ }{ C }$

C

$16.5_{ }^{ \circ }{ C }$

D

$255.3$ $^{ \circ }{ C }$