ps9 - Chem120B Problem Set 9 Due April 8 2011 1 Problems...

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Chem120B Problem Set 9 Due: April 8, 2011 Physical Chemistry textbook. 2. At fixed pressure p , a perfectly ideal solution of two miscible liquids is defined by the familiar depen- dence of chemical potential on composition μ ( ) j ( T, x ( ) j ) = μ j ( T ) + k B T ln x ( ) j , (1) for all components j . Superscripts ( ) refer to the properties of the liquid mixture, e.g., x ( ) j is the mole fraction of component j in solution. μ j ( T ) is the chemical potential of pure liquid component j at temperature T . ( μ j also depends on pressure, but since p is fixed we will not burden ourselves with writing this dependence explicitly.) In this problem you will use Eq. 1 to work out the temperature-composition phase diagram (at fixed pressure) for boiling of a two-component ideal solution. (i) Assuming the vapor mixture of the two components is also ideal, we can similarly write μ (v) j ( T, x (v) j ) = μ (0) j ( T ) + k B T ln x (v) j , (2) where superscripts (v) refer to the properties of vapor. Determine the relationship between μ (0) j ( T ) and the more common choice of standard state chemical potential μ (0) j ( T ) for a vapor: μ (v) j = μ (0) j ( T ) + k B T ln( p j /p 0 ) , where p j = ρ (v) j k B T is the partial pressure of component j in the vapor phase. Your expression may involve the total pressure p = p 1 + p 2 (which we take to be fixed throughout this problem). (ii) Let
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This note was uploaded on 09/12/2011 for the course CHEM 107B taught by Professor Jamesames during the Spring '09 term at UC Davis.

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ps9 - Chem120B Problem Set 9 Due April 8 2011 1 Problems...

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