1.15 Equations of State (4) S.J.T.U. Phase Transformation and Applications Difference in heat capacities of an ideal gas. H=U+PY SJTU Thermodynamics of Materials Spring 2006 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 (4) Difference in heat capacities of an ideal gas. P V VP T U T H CC ⎟⎠⎞ ⎜⎝⎛ ∂∂ ⎟ − ⎠⎞ ⎜⎝⎛ ∂∂ =− = + VPUH P P T P V P T U T H ⎟⎠⎞ ⎜⎝⎛ ∂∂ ⎟ + ⎠⎞ ⎜⎝⎛ ∂∂ ⎟ = ⎠⎞ ⎜⎝⎛ ∂∂ P P V VP T U T V P T U CC ⎟⎠⎞ ⎜⎝⎛ ∂∂ ⎟ − ⎠⎞ ⎜⎝⎛ ∂∂ ⎟ + ⎠⎞ ⎜⎝⎛ ∂∂ =−