Unformatted text preview: (you can take the depth=1 for convenience). Show how you de±ne the work for this boundary and prove that the above relation still holds. PROBLEM 2 (15 points) p 1 T 1 1 p 2 = 2 p 1 T 2 2 Isothermal or Isentropic A gas particle is initially at pressure p 1 and has a volume V 1 and temperature T 1 . We follow this particle (we track the same mass) as it undergoes a process whereby the ±nal pressure is p 2 = 2 p 1 . Consider two processes: Isothermal and Isentropic. For each process, ±nd: (a) the ±nal volume ratio V 2 / V 1 ; (b) the ±nal temperature ratio T 2 /T 1 ; (c) the work per unit mass w =i 2 1 pdv done on the particle. Express your answer in the form w/ ( p 1 v 1 ) = ... ; (d) the entropy change (per unit mass) normalized by the gas constant, ( s 2s 1 ) /R . 1...
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 Spring '08
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 Thermodynamics, Energy, unit mass, isentropic, 1000 m/s

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