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4022201211GuangzhouChemicalIndustryVol.40No.22November.2012(内蒙古大学化学化工学院，内蒙古呼和浩特010021)、。O642.1B1001－9677201222－0047－021971－。CalculationsofVolumeWorkinThermodynamicsLINGXiaoCollegeofChemistryandChemicalEngineeringInnerMongoliaUniversityInnerMongoliaHohhot010021ChinaAbstractTheexchangeworkbetweensystemandsurroundingcausedbythevolumechangewascalledvolumework.Theworkwasnotastatefunctionbutwasavariablerelatedtopath.Volumeworkwiththesameinitialstateandfinalstatehaddifferentcalculatingformulabecauseofdifferentpath.Thereforethereweremanykindsofcalculatingformulasforvolumework.Somecommonusedformulasinthermodynamicsweresummarized.Keywordsvolumeworkformulacalculations。。、。ΔU=Q+W。1～3。δW=Fdl。Fdl。pp=FAA。δW=FAdAl=pdVδW=－pdVpdV。－pdV－pdVp、pV－pV、－Vdp。W=－∫V2V1pdV。W。11。W=－∫V2V1pdVp=0W=0。2。W=－∫V2V1pdVW=－pV2－V1W=－p2V2－V1。3p=p±dp。W=－∫V2V1pdVW=－∫V2V1p±dpdVW=－∫V2V1pdV±∫V2V1dpdVW=－∫V2V1pdVpVpVpV。pV=nRTp=nRTVW=－nRT∫V2V11VdVV=－nRTlnV2V1W=－nRTlnP1P248201211。。p+an2V2V－nb=nRTW=－∫V2V1pdVW=－∫V2V1nRTV－nb－an2V2dV=－∫V2V1nRTV－nbdV+∫V2V1an2V2dV=－nRTlnV2－nbV1－nb+an2V1－an2V24Q=0ΔU=WΔU=CVT2－T1W=CVT2－T1。p1Vγ1=p2Vγ2T1Vr－11=T2Vr－12p1－r1Tγ1=p1－r2Tγ2γ=Cp/CV。2、。δW=－pdVW=－∫V2V1pdVp=pW=－pV2－V1=－pV2－V1W=－pV2－V1=－pVg－Vl≈－pVg≈－nRT。34。。δW=－pdV。1M．200574．2M．200713．3M．200733．4M．2009檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵檵34．(上接第38页)2LucasMSDiasAASampaioAetal．Degradationofatextilereac-tiveazodyebyacombinedchemical－biologicalprocessFenton’srea-gent－yeastJ．WaterRes2007411103－1109．3．J．201026373－78．4．－J．20103011－7．5RuPPertGBanerR．UV－O3UV－H2O2UV－TiO2andthephoto－fentonreactioncomparisonofadvancedoxidationprocessesforwastewatertreatmentJ．ChemosPhere19942881447－1454．6ShengHLChoCL．FentonprocessfortreatmentofdesizingwastewaterJ．WaterRes19973182050－2056．7．FentonJ．2011281229－32．8ConneelyASmythWFMcMullanG．Studyofthewhite－rotfungaldegradationofselectedphthalocyaninedyesbycapillaryelectrophoresisandliquidchromatography．AnalyticChimicaActa20024512259－270．9．J．2003291052－55．10LiXZZhaoYG．On－sitetreatmentofdyeingwastewaterbyabio－photoreactorsystemJ．WatSciTech199736165－172．11BrosillonSDjelalHMerienneNetal．Innovativeintegratedprocessforthetreatmentofazodyescouplingofphotocatalysisandbiologicaltreatment．Desalination2008222331－339．12．/J．2009251335－37．13．——J．2009291174－76．14LuXJYangBChenJHetal．TreatmentofwastewatercontainingazodyereactivebrilliantredX－3Busingsequentialozonationandup-flowbiologicalaeratedfilterprocessJ．JHazardMater．2009161241－245．15FengF．FentonMBRD．2010．16．Fenton—J．2006261128－31．17NileshPTSanjeevC．DegradationofazodyesbysequentialFenton’soxidationandaerobicbiologicaltreatmentJ．JHazardMater2006136698－705．