AD2=[0.5(v+u)

要有计算公式一个气态系统,U=2.5PV+常数系统开始是状态A:P = 0.2 MPa ,V = 0.01m³,然后经历了以下3个过程状态A到状态B:等压扩张至0.003m³状态B到状态C:p与V呈线性变化,至 P = 0.5 MPa ,V = 0.01 m³状态C到状态A:计算:1) 计算三个过程里Q与W的值2)计算状态A到B过程中的Q与W值,满足P=10^5+10^9(v-0.02)^2
pA=0.2MPa,VA=0.01m³,pB=pA,VB=0.03m³(原数据有误,估计为该值),pC=0.5MPa,VC=0.01m³.1)W(AB)=-pA(VB-VA)=-0.2*10^6(0.03-0.01)=-4*10^3 JΔU(AB)=UB-UA=2.5pBVB-2.5pAVA=2.5*0.2*10^6(0.03-0.01)=1*10^4 JQ(AB)=ΔU(AB)-W(AB)=1.4*10^4 JW(BC)=直线BC下方与横轴包围的(梯形)面积=(pB+pC)*(VB-VC)/2=(0.2+0.5)*10^6*(0.03-0.01)/2=7*10^3 J 【注】BC过程压缩,外界对气体做功,功取正值.ΔU(BC)=UC-UB=2.5pCVC-2.5pBVB=2.5*0.5*10^6*0.01-2.5*0.2*10^6*0.03=-2.5*10^3 JQ(BC)=ΔU(BC)-W(BC)=-9.5*10^3 JW(CA)=0ΔU(CA)=UA-UC=2.5pAVA-2.5pCVC=2.5*(0.2-0.5)*10^6*0.01=-7.5*10^3 JQ(CA)=ΔU(CA)-W(CA)=-7.5*10^3 J2) 题有误,请核对后追问.是否指气体经历某一变化(该变化满足P=10^5+10^9(v-0.02)^2),由A到达另一状态D,求A-D过程的W和Q?
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