Based on the first law of thermodynamics, Heat transfer, Q = Work done (W) + Internal energy (ΔU) TdS = pdV + dU
Tds EQUATIONS Based on the first law of thermodynamics, Heat transfer, Q = Work done (W) + Internal energy (ΔU) TdS = pdV + dU It can be rewritten as TdS = dU + pdV ……(2.33) For unit mass, Tds = du + pdv ….. (2.34) Equation (2.33) is the first Tds equation or Gibb's function. We know that Enthalpy, h = u + pv Differentiating above enthalpy equation, it becomes Enthalpy, dh = du + d(pv) = du + vdp + pdv ⸫ du = dh – vdp – pdv ... (2.35) Substituting equation (2.35) in (2.34), Tds = dh – vdp - pdv + pdv Tds = dh – vdp ….(2.36) Equation (2.36) is the second Tds equation.
Engineering Thermodynamics: Unit II: Second Law and Entropy : Tag: : Gibb's function | Entropy - Tds Equations
Engineering Thermodynamics
ME3391 3rd semester Mechanical Dept | 2021 Regulation | 3rd Semester Mechanical Dept 2021 Regulation