2300_les04

04 m 3 ln 13 kj 40 lesson 4 geof silcox chemical

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Unformatted text preview: ⎝ V1 ⎠ V2 V2 Wout = ∫ PdV = ∫ Wout ⎛ 75 ⎞ Wout = 500 kPa 0.04 m 3 ln ⎜ ⎟ = 13 kJ ⎝ 40 ⎠ ( ) Lesson 4, Geof Silcox, Chemical Engineering, University of Utah II. Energy and the First Law of Thermodynamics 4. Polytropic process (Section 4-1 of text) Many compression and expansion processes can be modeled as polytropic processes. The boundary work for such a process can be calculated as follows, where n is typically 1.2 or 1.3. PV n = C or P = CV − n Wout = ∫ PdV V1 V2 n = 0 and n = 1 correspond to isothermal and constant pressure cases considered above. V2 Wout P V − PV1 V 1−n 1 , n ≠1 = C ∫ V dV = C = 22 V1 1− n V 1− n V2 −n 1 (4-9) For an ideal gas, PV = mRT and Wb,out = P2V2 − PV1 mR(T2 − T1 ) 1 = , n ≠1 1− n 1− n (4-10) Lesson 4, Geof Silcox, Chemical Engineering, University of Utah 4...
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This note was uploaded on 09/02/2010 for the course PHYS 2300 taught by Professor Silcox during the Fall '09 term at Utah.

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