Phase transition in van der waals equation

大学の英語の授業で使用した資料。

Transcript

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   ( P + an2 V2 ) (V − nb) = nRT ⟺ P = nRT V − nb − an2 V2 ( ∂P ∂V ) T = − nRT (V − nb)2 + 2an2 V3 ( ∂2P ∂V2 ) T = 2nRT (V − nb)3 − 6an2 V4 Tc ( ∂P ∂V ) T=Tc = ( ∂2P ∂V2 ) T=Tc = 0 7BO
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    $POTUSVDUJPO  • Purpose To correct the unphysical regions of the Van der Waals isotherm. • Method Find a pressure where the isotherm line creates two areas, and . • Condition The areas must be equal: 
 • Physical Meaning The horizontal line at represents the saturated vapor pressure. This line is the liquid-vapor coexistence region. Psat S1 S2 S1 = S2 Psat
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13.  G = F + PV Fg − Fl = − Psat (Vg − Vl ) (1) Fg − Fl = − ∫ Vg Vl P(V) dV (2) ∫ Vg Vl (P(V) − Psat) dV = 0 ( ∵ (1), (2)) 5IF
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