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# (Solved): please answer all parts of problem 1 Problem 1. Verify concepts of phase equilibrium and phase tra ...

please answer all parts of problem 1

Problem 1. Verify concepts of phase equilibrium and phase transitions using the steam tables. a. Establish by direct calculation this equality between molar Gibbs free energies for steam at $$1000 \mathrm{kPa}$$ and $$179.88^{\circ} \mathrm{C}$$ (use steam tables): $$\mathrm{G}^{1}=\mathrm{G}^{\mathrm{v}}$$ b. Evaluate and plot $$\mathrm{G}^{\mathrm{v}}$$ at $$1000 \mathrm{kPa}$$ for temperatures between 200 and $$325^{\circ} \mathrm{C}$$ and extrapolate this curve below $$200^{\circ} \mathrm{C}$$. c. Find $$\mathrm{G}^{1}$$ at $$150,160,170,180,190^{\circ} \mathrm{C}$$. Plot in the same graph used for part $$\mathrm{b}$$ and extrapolate above $$190^{\circ} \mathrm{C}$$. Hint: for a liquid, $$\mathrm{H}$$ and $$\mathrm{S}$$ can be taken as independent of $$\mathrm{P}$$. d. Plot the molar volume $$\mathrm{V}$$ vs. $$\mathrm{T}$$ at $$\mathrm{P}=1000 \mathrm{kPa}$$ over the $$\mathrm{T}$$ range between 150 and $$325^{\circ} \mathrm{C}$$, and show that $$\mathrm{V}$$ is discontinuous. e. Plot $$\mathrm{Cp}$$ vs. T at $$\mathrm{P}=1000 \mathrm{kPa}$$ over the T range between 150 and $$325^{\circ} \mathrm{C}$$, and show that $$\mathrm{Cp}$$ is discontinuous. Problem 2. Using Raoult's law, estimate the boiling pressure and mole fractions in the vapor phase that is in equilibrium with a liquid having $$0.24 \mathrm{~mol}$$ fraction of ethanol, in a mixture ethanol/water at $$87^{\circ} \mathrm{C}$$. Problem 3. Using Raoult's law, estimate the boiling temperature and mole fractions in the vapor phase that is in equilibrium with a liquid having $$0.30 \mathrm{~mol}$$ fraction of ethanol, in a mixture ethanol/water at $$\mathrm{P}=1 \mathrm{~atm}$$.

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