Problem

A 2.0-102 g piece of copper at a temperature of 450 K and a 1.0 . 102 g piece of aluminium...

A 2.0-102 g piece of copper at a temperature of 450 K and a 1.0 . 102 g piece of aluminium at a temperature of 2.0.102 K are dropped into an insulated bucket containing 5.0 .102 g of water at 280 K. What is the equilibrium temperature of the mixture?

Step-by-Step Solution

Solution 1

Step #1 of 7

THINK:

The copper piece will give up heat and the water and the aluminum piece will absorb heat until all are at the same temperature. Since heat always transfer from the high temperature body to the low temperature body.

Step #2 of 7

SKETCH:

The figure shows the problem situation before and after the copper and aluminum pieces are added to the water.

Step #3 of 7

Step #4 of 7

RESEARCH:

Let the equilibrium temperature of the system is’’.

The heat lost by the copper piece is given by the equation

Here and are the mass, specific heat and the temperature of the copper respectively.

The heat gained by the water and aluminum is given by the equation

Here and are the mass, specific heat and the temperature of the aluminum respectively and, and are the mass, specific heat and the temperature of the water respectively.