1.15 Equations of State (6) S.J.T.U. Phase Transformation and Applications Ideal gas +.- /I Cp-Cv=R D PV-RT C,-C,=P(影)=R 器% SJTU Thermodynamics of Materials Spring2006©X.J.Jimn 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 (6) P V T T P V V U T U T U ⎟⎠⎞ ⎜⎝⎛ ∂∂ ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ ⎟ + ⎠⎞ ⎜⎝⎛ ∂∂ ⎟ = ⎠⎞ ⎜⎝⎛ ∂∂ P P V VP T U T V P T U CC ⎟⎠⎞ ⎜⎝⎛ ∂∂ ⎟ − ⎠⎞ ⎜⎝⎛ ∂∂ ⎟ + ⎠⎞ ⎜⎝⎛ ∂∂ =− T P VP T V V U PCC ⎟⎠⎞ ⎜⎝⎛ ∂∂ ⎥⎦⎤ ⎢⎣⎡ ⎟⎟⎠⎞ ⎜⎜⎝⎛ ∂∂ +=− = RTVP P R T V P ⎟ = ⎠⎞ ⎜⎝⎛ ∂∂ R TV PCC P VP ⎟ = ⎠⎞ ⎜⎝⎛ ∂∂ =− − VP = RCC Ideal gas