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ME_302_Optional_Bonus_Homework

# ME_302_Optional_Bonus_Homework - ME 302 Optional Bonus...

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ME 302 Optional Bonus Homework 1) One simple correction for the ideal gas law to increase its accuracy at high pressures is to add a co-volume, b : a. Calculate the compressibility factor, Z , for this equation of state. b. For a general equation of state , calculate du for the above equation of state. c. For a general equation of state , calculate dh for the above equation of state. d. For a general equation of state: , where is the coefficient of thermal expansion and is the isothermal compressibility. Calculate for the above equation of state. e. Starting from both of the general Tds relations, derive both equations to calculate the change of entropy for a fluid obeying the above equation of state assuming constant specific heats. f. Derive the temperature, pressure, and specific volume relations (you should get three equations involving the specific heat ratio) for an isentropic process for the above equation of state. g. Calculate the boundary work per unit mass, , for an isentropic process. 2) A pyrometer is a device that is used to measure the surface temperature of an object using thermal radiation. The common infrared thermometer is a simple example of a pyrometer. A schematic of a one-color pyrometer is shown below. Radiation emitted by an object is collected and collimated by a lens assembly.

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