Spring 08 HW 1

# Spring 08 HW 1 - CEE 3304 Spring 2008 HW#1 Physical...

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CEE 3304 Spring 2008 CEE 3304, HW#1 by: Amr A. El-Sayed Spring 2008 1 HW #1 Physical Properties of Fluids Problem 2.1 Given: An engineer needs density for an experiment with a glider. Local temperature = 74.3 ° F, () C F C o o o o 5 . 23 8 . 1 32 3 . 74 8 . 1 32 = = = K C K 5 . 296 273 5 . 23 273 = + = + = o o Local pressure = 27.3 in.-Hg = 3 80 . 9 55 . 13 28 . 3 12 3 . 27 m kN ft m ft × × × = 92.1 kN/m 3 = 92.10 kPa. Find: a) Calculate density using local conditions. b) Compare calculated density with the value from Table A.2, and make a recommendation. From Table A.2, R(air) = 287 J/kg K, ρ = 1.22 kg/m 3 .

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CEE 3304 Spring 2008 CEE 3304, HW#1 by: Amr A. El-Sayed Spring 2008 2 Solution: First, apply the ideal gas law to find density. Ideal gas law = () RT p air = ρ Density, kg/m 3 p Absolute pressure, kPa (kN/m 2 ) T Absolute temperature, ( ) K C t T o + = 273 R Gas constant R = K kg Joul K kg m N K m kg m N T p . . . . 3 2 = = = = K m . sec 2 2 in SI units () = K kg m N R slug ft lb air R . . 287 . . 1716 o See appendix A, table A.2 () () K K kg m N m N air + × × = 273 50 . 23 . . 287 1000 10 . 92 2 = 1.0823 kg/m 3 . Density difference = % 3 . 11 22 . 1 0823 . 1 22 . 1 = COMMENTS 1- The density difference (local conditions versus table value) is 11.3%. Most of this difference is due to the effect of elevation on atmospheric pressure. 2- Recommendation: use the local value of density because the effects of elevation are significant.
CEE 3304 Spring 2008 CEE 3304, HW#1 by: Amr A. El-Sayed Spring 2008 3 Problem 2.7 Given: Air is at an absolute pressure of p = 600 kPa and a temperature of T = 50 ° C.

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Spring 08 HW 1 - CEE 3304 Spring 2008 HW#1 Physical...

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