# Entropy change: Water

5.2 Calculate the entropy change for each of the following:

(a) 10g of steam at l00°C and a pressure of one atmosphere condensing into water at the same temperature and pressure. (The latent heat of vaporization of water is 22571 Jg^-1).

(b) 10g of water at l00°C and a pressure of one atmosphere cooling to 0°C at the same pressure. (The average speciﬁc heat of water between 0°C and 100°C is 4.19 Jg^-1).

(c) 10g of water at 0°C and a pressure of one atmosphere freezing into ice at the same pressure and temperature. (The latent heat of fusion of ioe is 3331 Jg^-1).

https://brainmass.com/physics/specific-heat/entropy-change-water-528261

## SOLUTION This solution is **FREE** courtesy of BrainMass!

** Please see the attached file for the complete solution **

We wish to compute the change of entropy for each of the following transitions:

(a) 10 g of steam at and a pressure of one atmosphere condensing into water at the same temperature and pressure.

(please see the attached file)

We have:

(please see the attached file)

where (please see the attached file) is the latent heat of vaporization of water. Plugging in the values, we obtain:

(please see the attached file)

(b) 10 g of water at (please see the attached file) and a pressure of one atmosphere cooling to (please see the attached file) at the same pressure.

Here we have:

(please see the attached file)

where c is the specific heat of water. Plugging in the values, we obtain:

(please see the attached file)

(c) 10 g of water at and a pressure of one atmosphere freezing into ice at the same pressure and temperature.

Here we have:

(please see the attached file)

where (please see the attached file) is the heat of fusion of ice. Plugging in the values, we obtain:

(please see the attached file)

https://brainmass.com/physics/specific-heat/entropy-change-water-528261