Calculating S & G for Phase Change of Water

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To calculate the change in entropy (S) and Gibbs free energy (G) for the phase change of 1 mol of water at 100°C and 1 bar to vapor at 100°C and 0.1 bar, two thermodynamic processes must be considered: vaporization and isothermal expansion. The change in entropy can be evaluated using the formula ΔS = (Q1 + Q2) / T, where Q1 is the heat of vaporization (Q1 = m·λv) and Q2 accounts for the isothermal expansion (Q2 = νRT ln(V2/V1)). The pressure change affects the final volume and thus the calculation of Q2. For Gibbs free energy, the relationship G = H - TS can be applied, incorporating the changes in enthalpy and entropy. Understanding these principles allows for accurate calculations of thermodynamic properties during phase changes.
doomed
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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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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
\Delta S=\frac{Q_1+Q_2}{T}
where Q1+Q2 represents the total transferred heat.

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

and so on...(p_1 V_1=p_2 V_2 is the answer at your last question)
 
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