PS9Solutions

PS9Solutions - Chemistry 120B SP11 Problem Set 9 Solutions...

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Unformatted text preview: Chemistry 120B SP11 Problem Set 9 Solutions Total: 50 points 1. See MQS Solutions Manual. 2. (i) Use the ideal gas law to write the mole fraction in terms of partial pressures. p j = N j V k B T p = p 1 + p 2 = N 1 + N 2 V k B T p j p = N j N 1 + N 2 = x j Equate the two expressions for (v) j . (0) j + k B T ln x (v) j = (0) j + k B T ln p j p (0) j = (0) j + k B T ln p j p- k B T ln x (v) j = (0) j + k B T ln p j p- k B T ln p j p (0) j = (0) j + k B T ln p p (ii) At coexistence (boiling point), ( ) j = (v) j . (0) 1 ( T b ) + k B T b ln x (v) 1 = * 1 ( T b ) + k B T b ln x ( ) 1 (0) 2 ( T b ) + k B T b ln x (v) 2 = * 2 ( T b ) + k B T b ln x ( ) 2 (iii) * j ( T ) * j ( T j ) + * T p T j ( T- T j ) From the Gibbs-Duhem equation, we know that * T p =- S ( ) j /N j . We get four equations because there are two components and two phases: * 1 ( T ) = * 1 ( T 1 )- S ( ) 1 N 1 ( T- T 1...
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PS9Solutions - Chemistry 120B SP11 Problem Set 9 Solutions...

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