Brass has a density of 8.40 g/cm3 and a specific heat of 0.385 Jg1C1. A 15.0 cm3

Question

Brass has a density of 8.40 g/cm3 and a specific heat of 0.385 Jg1C1. A 15.0 cm3 piece of brass at an initial temperature of 163 C is dropped into an insulated container with 150.0 g water initially at 22.2 C.

Part A

What will be the final temperature of the brass–water mixture?

Brass has a density of 8.40 g/cm3 and a specific heat of 0.385 Jg1C1. A 15.0 cm3 piece of brass at an initial temperature of 163 C is dropped into an insulated container with 150.0 g water initially at 22.2 C.

Part A

What will be the final temperature of the brass–water mixture?

Explanation / Answer

The heat released by the brass is the same heat gained by the water:

First, for the brass, it will decrease its temperature until the final temperature Tf. We need to find the mass of brass used:

mass= 8.4g/cm3 x 15cm3= 126g

Q= m x DT x Cp = 126g x 163-Tf x 0.385 J/g.ºC

Now for the water:

Q= 150g x 4.18 J/g.Cº x Tf-22.2

Finally, both Q are equal:

126g x 163-Tf x 0.385 J/g.ºC =150g x 4.18 J/g.Cº x Tf-22.2

Tf= 32.2ºC

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