deduce the relationship between Cp andCv
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For an ideal gas H=E+PV
Differentiating with respect to temperature
dH/dT=dE/dT +d[PV]/dT
For one mole of ideal gas PV =RT
dH/dT=dE+RdT/dT
Therefore
Cp=Cv+R
Or
Cp-Cv=R
Differentiating with respect to temperature
dH/dT=dE/dT +d[PV]/dT
For one mole of ideal gas PV =RT
dH/dT=dE+RdT/dT
Therefore
Cp=Cv+R
Or
Cp-Cv=R
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