25.0g of iron is heated to 100.0 and then placed in 50.0 g of water in a insulated calorimeter. the initial temperature of the water is 38.00. the specific heat of water is 4.181j/g and the specific heat if iron is 0.45j/g. what is the final temp of the water and the iron?

Approximately .

Explanation:

Let be the final temperature of the water and the iron.

Temperature of the water would be increase by .

Temperature of the iron would be reduced by .

Let denote the specific heat of each material. Let denote the mass of the material. For a temperature change of , the energy change involved would be:

.

The energy that the water need to absorb would be:

.

The energy that the iron would need to release would be:

.

Since this calorimeter is insulated, the energy that the iron had released would be equal to the energy that the water had absorbed:

.

.

.

Thus, the final temperature of the water and the iron would be approximately .