1. First Tds equation: Tds=cv dT+( ∂ p∂T )vdv

2. Second Tds equation: Tds=c pdT−T ( ∂v∂T )pdp

3. Internal energy: du=cv dT+{T ( ∂ p∂T )v−p}dv

Or du=cv dT+(TβK −p)dv

4. Enthalpy equation: dh=c pdT+{v−T ( ∂v∂T )p}dp

Or dh=c pdT+v (1−βT )dp

5. h (T , P )=hf+(hT , P−hT=25℃ ,P=1atm)

6. K (T )=( n3v3n4

v4

n1v1n2

v2 )( Pn P0 )v3+ v4−v1−v2

7. ∑PnP ¿¿¿