Calculating S & G for Phase Change of Water

In summary, the conversation is about calculating the values of change in entropy and change in Gibbs free energy for the conversion of liquid water to vapor at different pressures and temperatures. The formula for calculating entropy is given, and the two thermodynamic processes involved in this problem are identified. The hints for solving the problem are also provided, including the equations for calculating the total transferred heat and for isothermal expansion. The reminder to post homework questions in the appropriate forums is also given.
  • #1
doomed
1
0
phase change?

How do I calculate the values of change in entropy (S) and change in Gibbs free energy (G) for the conversion of n=1 mol of liquid water at 100 C and 1 bar pressure into vapor at the same temperatue and a pressure of 0.1 bar. Assume ideal behavior for the vapor. the molar enthalpy for vaporization of water at 100 C and 1 bar is 40.6 kJ/mol.

I know that delta S = delta H/T, but how the change in pressure play into this problem for delta S and delta G?

HELP me PLEASE!
 
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  • #2
I'll give you some hints for the entropy:

You have 2 thermodynamic processes there:
1) vaporization
2) isothermal expansion form 1 bar to 0.1 bar.

Because the temperature is the same, the variation in entropy can easily be evaluated by
[tex]\Delta S=\frac{Q_1+Q_2}{T}[/tex]
where Q1+Q2 represents the total transferred heat.

Now you have
[tex]Q_1=m\cdot \lambda_v[/tex]
for the vaporization at 100 C
and
[tex]Q_2=\nu R T \ln \frac{V_2}{V_1}[/tex]
for the isothermal expansion

and so on...([tex]p_1 V_1=p_2 V_2[/tex] is the answer at your last question)
 
Last edited:
  • #3
doomed,

1.) Post only one thread per topic.

2.) Post homework questions in the Homework Help Forums, not the Physics Forum.
 

Related to Calculating S & G for Phase Change of Water

What is the equation for calculating S & G for phase change of water?

The equation for calculating S & G for phase change of water is: S & G = m x ΔH, where m is the mass of the water and ΔH is the enthalpy of fusion or vaporization.

How do you determine the enthalpy of fusion or vaporization for water?

The enthalpy of fusion for water is 334 kJ/kg and the enthalpy of vaporization is 2260 kJ/kg. These values can be found in thermodynamic tables or can be calculated using the Clausius-Clapeyron equation.

Why is it important to calculate S & G for phase change of water?

Calculating S & G for phase change of water is important because it helps us understand the amount of energy needed to change the state of water from solid to liquid or from liquid to gas. It is also important for various industrial and scientific applications, such as in refrigeration and power generation.

How does temperature affect the calculation of S & G for phase change of water?

The temperature at which the phase change occurs will affect the value of S & G. This is because the enthalpy of fusion and vaporization are temperature-dependent, and therefore, the calculation of S & G will be different at different temperatures.

Can S & G be negative for phase change of water?

Yes, S & G can be negative for phase change of water. This typically occurs when the water is freezing or condensing, as energy is being released from the water during these processes. In this case, the mass and enthalpy values used in the calculation will be negative, resulting in a negative S & G value.

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