PCHEMCONCEPTS_Overall

Expansion concept of reversibleirreversible processes

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Unformatted text preview: ྏT Isobaric Coefficient of Thermal Expansion (α), Isothermal Com- pressibility (ΚT) and Molar Heat Capacity at Constant Volume (CVm) 1 ⎛ྎ ∂V ⎞ྏ − 1 ⎛ྎ ∂V ⎞ྏ ⎛ྎ ∂U ⎞ྏ α = ⎜ྎ m ⎟ྏ Κ T = ⎜ྎ m ⎟ྏ CVm = ⎜ྎ m ⎟ྏ Vm ⎝ྎ ∂T ⎠ྏ P Vm ⎝ྎ ∂P ⎠ྏT ⎝ྎ ∂T ⎠ྏV 1 ⎛ྎ ∂Vm ⎞ྏ ⎜ྎ ⎟ྏ = Reciprocal Rule ⎝ྎ ∂T ⎠ྏ P ⎛ྎ ∂T ⎞ྏ ⎜ྎ ⎜ྎ ∂V ⎟ྏ ⎟ྏ ⎝ྎ m ⎠ྏ P ⎛ྎ ∂Vm ⎞ྏ ⎛ྎ ∂T ⎞ྏ ⎛ྎ ∂P ⎞ྏ ⎟ྏ = −1 Euler Chain Rule ⎜ྎ ⎟ྏ ⎜ྎ ⎟ྏ ⎜ྎ ⎜ྎ ⎟ྏ ⎝ྎ ∂T ⎠ྏ P ⎝ྎ ∂P ⎠ྏVm ⎝ྎ ∂Vm ⎠ྏT Day #7: Fall 2011 •  No;on of Exact Differen;al: Sta;ng that f(x,y) is a STATE func;on is iden;cal to sta;ng df is an exact differen;al, is iden;cal to sta;ng that the second deriva;ves of f with respect to x and y are the same regardless of the differen;a;on order (i.e. d2f/dxdy = d2f/dydx) •  When do we use dX instead of δX ? When do we and don’t we use the symbol Δ ? (dX and ΔX only used if X...
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