090418_homework10_answer_v2 - Chem340 Physical Chemistry...

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Unformatted text preview: Chem340 Physical Chemistry for Biochemists Dr. Yoshitaka Ishii Homework 10 Due Date Apr. 22 (Wed), 2009 Please solve the following questions. This is a good part of the final Exam. P9.1-2, P9.4,5, P9.8-9, P9.12-14, P9.18, P9.21, P9.24, P9.28-9, P9.32, P9.40, P9.44 P9.48, P9.50 P9.1) Calculate H reaction and G reaction for the reaction AgNO 3 ( aq ) + KCl( aq ) AgCl( s ) + KNO 3 ( aq ). o reaction H and o reaction G are given by: ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) aq NO H aq Ag H aq Cl H aq K H aq NO H aq K H s AgCl H H 3 f f f f 3 f f f reaction + + + + + = o o o o o o o o ( ) ( ) ( ) ( ) ( ) ( ) ( ) 1 1 1 1 1 1 1 1 reaction mol kJ .4 5 6 mol kJ 207.4 mol kJ 05.6 1 mol kJ 2 . 167 mol kJ 4 . 52 2 mol kJ 207.4 mol kJ 4 . 52 2 mol kJ 127.0 H = + + = o ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) aq NO G aq Ag G aq Cl G aq K G aq NO G aq K G s AgCl G G 3 f f f f 3 f f f reaction + + + + + = o o o o o o o o ( ) ( ) ( ) ( ) ( ) ( ) ( ) 1 1 1 reaction 1 1 1 1 1 G 109.8 kJ mol 283.3 kJ mol 111.3 kJ mol 283.3 kJ mol 131.2 kJ mol 77.1 kJ mol 111.3 kJ mol 55.7 kJ mol = + + = o P9.2) Calculate H reaction and G reaction for the reaction Ba(NO 3 ) 2 ( aq ) + 2KCl( aq ) BaCl 2 ( s ) + 2KNO 3 ( aq ). reaction G o = f G o (BaCl 2 , s ) + 2 f G o (K + , aq ) + 2 f G o (NO 3 , aq ) f G o (Ba 2+ , aq ) 2 f G o (NO 3 , aq ) 2 f G o (K + , aq ) 2 f G o (Cl , aq ) reaction G o = f G o ( BaCl 2 , s ) f G o ( Ba 2+ , aq ) 2 f G o (Cl , aq ) reaction G o = 806.7 kJ mol 1 + 560.8 kJ mol 1 + 2 131.2 kJ mol 1 = 16.5 kJ mol 1 reaction H o = f H o (BaCl 2 , s ) f H o ( Ba 2+ , aq ) 2 f H o (Cl , aq ) reaction H o =855.0 kJ mol 1 + 537.6 kJ mol 1 + 2 167.2 kJ mol 1 = 17.0 kJ mol 1 P9.4) Calculate S reaction for the reaction Ba(NO 3 ) 2 ( aq ) + 2KCl( aq ) BaCl 2 ( s ) + 2KNO 3 ( aq ). reaction S o = S o (BaCl 2 , s) S o (Ba 2+ , aq ) 2 S o (Cl , aq ) reaction S o = 123.7 J K 1 mol 1 9.6 J K 1 mol 1 2 56.5 J K 1 mol 1 = 1.1 J K 1 mol 1 P9.5) Calculate G reaction in an aqueous solution for Cl ( aq ) using the Born model. The radius of the Cl ion is 1.81 10 10 m. 2 2 1 1 8 A solvation r Z e & G r = o o r for water at 298 K is 78.5 For water at 25 C ( ) ( ) 2 4-1 4 1-1 6.86 10 kJ mol /pm Cl radius is 181 pm 1 6.86 10 kJ mol 181 379 kJ mol solvation solvation z G r G = = = o o P9.8) Express a in terms of a + and a for (a) Li 2 CO 3 , (b) CaCl 2 , (c) Na 3 PO 4 , and (d) K...
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This note was uploaded on 04/14/2010 for the course CHEM 340 taught by Professor Yoshitakaishii during the Spring '07 term at University of Illinois, Urbana Champaign.

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090418_homework10_answer_v2 - Chem340 Physical Chemistry...

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