HW_3_Soln - ME 309 Fall 2008 Section 2 (Merkle) Homework #...

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ME 309 Fall 2008 Section 2 (Merkle) Homework # 3 Due Wed. 3 September 2008 Problem 3-1. Air is trapped in a cylinder having a diameter, D , of 40 mm and height, h , of 30 mm . Given that the temperature, T = 1050 K, and the pressure , p = 300 kPa are essentially uniform throughout the cylinder. (a) Express the pressure as a gage pressure (in kPa ) (Note gage pressure is the absolute pressure minus atmospheric pressure.) (b) Express the temperature in degrees Celsius, degrees Rankine and degrees Farenheit (c) Find the mass of air in the cylinder in kg ; and (d) Use a units conversion table to express the mass in lbm . (e) The cylinder is compressed to a final height of 15 mm. Determine the final density of the air. Does the density depend upon the final temperature? For part (c), assume that the air can be treated as a perfect gas: The equation of state for a perfect gas is given by: M RT p / ρ = , where p = absolute pressure, Pa or 2 / m N . T = Absolute temperature, K = Density, 3 / m kg (Note density is the mass divided by the volume it occupies) M = Molecular weight of fluid (for air, M = 28.97 kg/kg-Mol R = Universal gas constant: = 8413.3 J/ ( kg-mol K
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This note was uploaded on 03/09/2010 for the course ME 309 taught by Professor Merkle during the Spring '08 term at Purdue University-West Lafayette.

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HW_3_Soln - ME 309 Fall 2008 Section 2 (Merkle) Homework #...

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