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110年 - 110 國立臺灣大學_碩士班招生考試_材料科學與工程研究所乙組:熱力學(B)#100917
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1. Explain how the perfect gas equation arises by the combination of Boyle's law, Charles' law and Avogadro's principle. (10 %)
其他申論題
(一)《人物志》
#422790
(二)《論衡》
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(三)《近思錄》
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(四)《明儒學案》
#422793
2. What are "system" and the "standard state" in thermodynamics? (10 %)
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3. On a pressure-volume plot, why the curves are steeper for an adiabatic process compared to isothermal process. [Hint: You should provide equations and explain the physics behind the equations you present] (10%)
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4. Draw a two-component, temperature-composition, solid-liquid diagram for a system where compound of formula AB2 forms that melts incongruently, and there is a negligible solid-solid solubility. Label the regions of the diagrams, stating what materials are present and whether they are solid or liquid. (15 %)
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(a) Derive the phase rule. (10%)
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(b) Draw a one-component phase diagram (pressure-temperature) and use phase rule to rationalize your diagram. [Hint: Why "point", "line" or "area" in the diagram] (10%)
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6. Derive the Clapeyron equation for liquid-vapor boundary: [Hint: Starting with the concept that the chemical potentials must be equal when two phases are in equilibrium] (10%)
#422800
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