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ME_302_HW4

# ME_302_HW4 - ME 302 Homework 4 Due In Class Monday Feb 14...

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ME 302 Homework 4 Due In Class Monday Feb. 14 When solving the following problems. You MUST start with the generic First Law and Conservation of Mass, cross out terms based on your assumptions, and integrate as discussed and shown in class. 1) Given a temperature of and , use the compressibility factor and the chart on back of the tables that were handed out to show that the ideal gas assumption is not very good for water, but is alright for Nitrogen. 2) Use the First Law of Thermodynamics to show that a polytropic process in a closed cylinder for an ideal gas (with gas constant ) is adiabatic if , where is the polytropic exponent and is the ratio of specific heats. You may assume that is constant. Hint: This problem is more direct if boundary work is calculated with mass and temperature rather than pressure and volume. 3) An air gun, shown below, contains a mass of air in a cylinder with a cross-sectional area . The bullet has mass and expansion of the high-pressure ideal gas undergoes a polytropic process

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