BENG 130 Lecture 10: Lecture 10
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F = degrees of freedom: for the solid-liquid curve: For c = 1, =(cid:885) : clausius-clapeyron equation: (cid:3021)= (cid:3020) . Thus, = (cid:3019)(cid:3021)(cid:3118) (cid:1846) (cid:3019)(cid:3021)(cid:3118) for an ideal gas: for the liquid-gas curve: Two components: if we have two components, we want to know how many moles of component a and how many moles of component b we have. Thus, there is a dependence on the composition: +=+(cid:884), so +=(cid:886), so =(cid:886) . Also, there should be no additional intermolecular forces, so (cid:3040)(cid:3051)=(cid:882: 2nd question: what is equilibrium, for real gases, = (cid:4666)(cid:1846),(cid:4667)+(cid:1844)(cid:1846)ln(cid:4672)(cid:4673), where fugacity =(cid:2010, for real gases, = +(cid:1844)(cid:1846)ln(cid:4666)(cid:1876)(cid:4667)+, where =(cid:1844)(cid:1846)ln(cid:4666)(cid:2011)(cid:4667) Example liquid (dalton"s law: if we have two components, say we have a liquid solution that is in equilibrium with its vapor, =(cid:1876) (raoult"s law) (cid:3117) (cid:3052)(cid:3117)(cid:4666) (cid:3117) (cid:3118)(cid:4667: if we plot p vs. (cid:1876)(cid:2869): We see from the highlighted equation that p is linear with respect to (cid:1876)(cid:2869)
