BoundaryWork - total work ME 201 Thermodynamics 2 BOUNDARY...

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1 ME 201 Thermodynamics Boundary Work Guide The boundary work out of a system (work done by system on the surrounds) is defined as W = PdV bnd or on a per mass basis w = Pdv bnd If following a calculation it is determined that the boundary work is negative this implies that the work is into the system (work done by surrounds on the system) rather than out of the system. Clearly, the boundary work depends on the process and that will determine the relationship between P and v. The evaluation of the boundary work for a number of different processes and substance types is given below. Though these are represented on a per mass basis, the use of the total volume in these expressions will yield the
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Unformatted text preview: total work. ME 201 Thermodynamics 2 BOUNDARY WORK PROCESS Ideal Gas Compressible Substance Incompressible Substance Isotropic Isobaric P(v- v ) 2 1 P(v- v ) 2 1 P(v- v ) 2 1 Isothermal RT ln v v 2 1 ⋅ Numerical Integration (Unless phase change is occurring, then it may also be an isobaric process) Isentropic [ ] P v (1- k) v- v or P v- P v (1- k) with k = c c 1 1 k 2 1-k 1 1-k 2 2 1 1 P V Numerical Integration Polytropic [ ] P v (1- n) v- v or P v- P v (1- n) 1 1 n 2 1-n 1 1-n 2 2 1 1 [ ] P v (1- n) v- v or P v- P v (1- n) 1 1 n 2 1-n 1 1-n 2 2 1 1 Not Defined...
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BoundaryWork - total work ME 201 Thermodynamics 2 BOUNDARY...

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