2D_Course_Notes_-_Part_V

2D_Course_Notes_-_Part_V - 1 Reactions Involved Gases ( ) (...

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Unformatted text preview: 1 Reactions Involved Gases ( ) ( ) ( ) 2 g g g A B C + = ' A B C A B C G n G n G n G = + + If initial 1 mole of A and 1 mole of B , 2 2(1 ) A B C A B A n n n n n n = = & & = & ' 2(1 ) A B C A B A G n G n G n G = + + & ln ln ln o o i i i i i G G RT P G RT P RT X = + = + + Q 2(1 ) , , 1 2 2 2 A A A A B C A n n n X X X n & = = = = & 2 Relative contributions from chemical potential and mixing ' ( 2 ) 2 2 ln 2 ln[ ln( ) (1 )ln(1 )] 2 o o o o A A B C C A A A A G n G G G G RT P n RT n n n = + & + + + + & & ' 2 ( ) 2 ln[ ln( ) (1 )ln(1 )] 2 o o A C A A A A n G G n G RT n n n & = & + + & & 2 o o o o C A B G G G G = & & Chemical potential mixing 3 Example: 500 K and 1 atm 5000 J Choose 2 5000 J o o o A B o C G G G G & = + = = 8.314 500 2 ln0.5 ( ln ln ) 5763 J o o o o o A A B B G RT n x n x & = = + = Initial mixing of A+B o o A B G G G G G & = = chemical mixing total 4 At equilibrium: ( ln ) ( ln ) 2 ln o o o A A B B C C G RT P G RT P G RT P + + + = + 2 2 ln = ln o o o o C C A B A B P P G G G G RT P P RT K & = = , A T P G Minimum n = . . 2 or 2 A B C A B C i e G G G G G G + = + = 2 5 Class exercise Class excercise: 5000 J, T=500 K o G & = 5000 ln 1.203 8.314 500 o P G K RT & = = = 2 2 2 2 2 3.329 1 ) 0.523 2 2 C C C P A B A B A B A A A B P x P x K P P x Px P x x n n n n = = = = = = equilibrium at = 0.527 0.954 A B C n n n = = 6 Temperature effect o o o o o P dG SdT VdP d G S dT V dP G S T = & + = & + =...
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This homework help was uploaded on 04/17/2008 for the course MATLS Matls 2D03 taught by Professor Zhu during the Fall '05 term at McMaster University.

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2D_Course_Notes_-_Part_V - 1 Reactions Involved Gases ( ) (...

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