Relaciones de Convenencía

$$H=U+PV$$

$$dU=TdS-PdV$$

$$dH=TdS+VdP$$

$$dU=CvdT+\left[T\left(\frac{\delta P}{\delta T}\right)_v -P\right]dV$$

$$dH=CpdT+\left[V-T\left(\frac{\delta V}{\delta T}\right)_P\right]dP$$

$$dS=\left(\frac{Cv}{T}\right)dT+\left(\frac{\delta P}{\delta T}\right)_v dV$$

$$dS=\left(\frac{Cp}{T}\right)dT+\left(\frac{\delta V}{\delta T}\right)_P dP$$

Relación entre Cp Y Cv

$$Cp-Cv=T*\left(\frac{\delta V}{\delta T}\right)_P \left(\frac{\delta P}{\delta T}\right)_V$$