1.15 Equations of State (2) S.J.T.U. Phase Transformation and Applications Ideal gas:its internal energy does not change with volume at constant temperature. H=U+PV av 〔+ +V aP +业 =0-V+V=0 OH ap OH =0 av ap T SJTU Thermodynamics of Materials Spring2006©X.J.Jin Lecture 2 First Law llPhase Transformation and Applications S. J. T. U. SJTU Thermodynamics of Materials Spring 2006 © X. J. Jin Lecture 2 First Law II 1.15 Equations of State (2) Ideal gas : its internal energy does not change with volume at constant temperature. ⎟ = 0 ⎠⎞ ⎜⎝⎛ ∂∂V T U ⎟ = ? ⎠⎞ ⎜⎝⎛ ∂∂P T H V P V P P U P H T T T ⎟ + ⎠⎞ ⎜⎝⎛ ∂∂ ⎟ + ⎠⎞ ⎜⎝⎛ ∂∂ ⎟ = ⎠⎞ ⎜⎝⎛ ∂∂ = + VPUH V P RT P P V V U P H T T T ⎟ +⎠⎞ ⎜⎝⎛ ⎟ −+ ⎠⎞ ⎜⎝⎛ ∂∂ ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ ⎟ = ⎠⎞ ⎜⎝⎛ ∂∂ 2 ⎟ 0 =+−= 0 ⎠⎞ ⎜⎝⎛ ∂∂ VV PH T ⎟ = ? ⎠⎞ ⎜⎝⎛ ∂∂V T H ⎟ = 0 ⎠⎞ ⎜⎝⎛ ∂∂P T H