derive relationship between Cp and Cv by 1st law of thermodynamic
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The relationship between Cp and Cv by 1st law of thermodynamic is :
Cp - Cv = R
Cp - Cv = R
thermodynamics:
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AT Constant 'p' molar heat capacity =Cp
At constant 'v' molar heat capacity=Cv
Cp-Cv=R
Q=deltaU + pdeltaV
At const. Volume(delta v=0)
Q=deltaU
Q=CmdeltaT
DeltaU=CvdeltaT
At const. Pressure
Qp=deltaU +PdeltaV
Qp=deltaH
CpdeltaT=H
H=U+PV
deltaH=deltaU+delta(PV)
deltaH=deltaU +delta(RT)
deltaH=deltaU +RdeltaT
CpdeltaT=CvdeltaT+RdeltaT
Cp=Cv+R
Cp-Cv=R
Use delta symbol in place of delta
At constant 'v' molar heat capacity=Cv
Cp-Cv=R
Q=deltaU + pdeltaV
At const. Volume(delta v=0)
Q=deltaU
Q=CmdeltaT
DeltaU=CvdeltaT
At const. Pressure
Qp=deltaU +PdeltaV
Qp=deltaH
CpdeltaT=H
H=U+PV
deltaH=deltaU+delta(PV)
deltaH=deltaU +delta(RT)
deltaH=deltaU +RdeltaT
CpdeltaT=CvdeltaT+RdeltaT
Cp=Cv+R
Cp-Cv=R
Use delta symbol in place of delta
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