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申論題資訊

試卷:110年 - 110 國立清華大學碩士班考試入學試題_工程與系統科學系/甲組:材料熱力學#105330
科目:研究所、轉學考(插大)◆材料熱力學
年份:110年
排序:4

題組內容

Question 3 
A fluid is held in a container that is covered with a frictionless piston. The container and the piston are thermally insulated (no heat exchange with the environment), and the environn ment is at constant pressure, P. A paddle is placed within the container,which is rotated by dropping a weight of mass M attached to a frictionless pulley contraption (see the figure below). Assume that the mass M drops by a distance h with the gravity g.
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You are lucky that the properties of this fluid, including the heat capacities, Cp and Cv,the isobaric thermal expansivity, a, and the isothermal compressibility, B, have all been measured. It also turns out that they are constant for the process of consideration.

申論題內容

(a) Derive an expression for the change in temperature, AT, between the final equilibrated state after M has been dropped and the initial state before M is dropped. Write your answer in terms of M, h, 8, and the properties of the fluid.