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Outline: 1/29/07. Turn in Seminar reports – to me Today: Student Research Symposium. Outline Free Energy ( D G) & Concentration Lots of practice! D G applications: biochemistry. Summary to date:. D E, D H, D S and D G are defined
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Outline: 1/29/07 • Turn in Seminar reports – to me • Today: Student Research Symposium • Outline • Free Energy (DG) • & Concentration • Lots of practice! • DG applications: biochemistry
Summary to date: • DE, DH, DS and DG are defined • First law calculations: DE = q + w • DHrxn, DHphasechange problems • DS calculations: T DS = q • DGorxn= DHorxn- TDSorxn problems • Since DHorxn and DSorxn are relatively independent of temperature: • DGTrxn DHorxn- TDSorxn
Worksheet #3: • N2O4(g)<=> 2 NO2(g) • colorless brown • DGo = DG(prdts) - DG(rctnts) • = 2 51 - 98 = +4 kJ • (not spontaneous) • DG77 = DHrxn- (77 DSrxn ) • = 57 - (77 0.176) = +43 kJ • (really not spontaneous!)
DG also depends on concentration…. Worksheet #2: • Demo: N2O4(g)<=> 2 NO2(g) • colorless brown • Clearly a spontaneous reaction at room temperature (298K)…. • Not spontaneous at 77K…. • What’s going on?
Since concentration/dilution alters entropy on a molecular level, standard conditions must also specify concentration: • 1.0 atm for gases • 1.0 M for solns. • Mathematically: • DSrxn = DSorxn- R ln Q • where Q = [C]c[D]d / [A]a[B]b • for the reaction: aA + bB cC+dD • Q is called the reaction quotient.
Since : • DGTrxn = DHrxn- T DSrxn • Then: • DGTrxn = DHorxn- T(DSorxn - R ln Q) • Or: • DGrxn = DGorxn+ RT lnQ • where Q = reaction quotient • = [prods]/[rcts]
Worksheet #2 (cont’d): • N2O4(g)<=> 2 NO2(g) • colorless brown • What is Q? • = (pNO2 )2/(pN2O4) • Assume pNO2 = pN2O4 = 0.1 atm • Q = 0.1 and • DGrxn = 4 kJ + 0.008314 (298) ln 0.1 • = 4 - 5.7 = - 1.7 kJ • (spontaneous!)
Let’s see how we’re doing… Summary of Thermo: • DE, DH, DS and DG are defined • First law calculations: DE = q + w • DHrxn, DHphasechange problems • DS calculations: T DS = q • DGTrxn DHorxn- TDSorxn problems • DGrxn= DGorxn+ RTlnQ problems
Which of the following has the largest So? • HCl (l) • HCl (s) • HCl (g) • HI (g) • HBr (g)
What is the DG at 100°C for a reaction that has DHo = -271 kJ/mol & DSo = +11.2 J/K? • -272 kJ/mol • -1391 kJ/mol • -275 kJ/mol • -4449 kJ/mol • -282 kJ/mol
Summary of Thermo: • DE, DH, DS and DG are defined • Heat capacity problems: q = n CpDT • First law calculations: DE = q + w • DHrxn, DHphasechange problems • DS calculations: T DS = q • DGTrxn DHorxn- TDSorxn problems • DGrxn= DGorxn+ RTlnQ problems Applications: (what use is thermo?) Nitrogen Fixation, Biochemical energy
What does DG tell us about our planet? ?More common?
Nitrogen fixation…. Atmospheric nitrogen (NN) is very stable thermodynamically…. Most nitrogen containing compounds have a very positive DG for formation: (e.g. NO, HCN, CH3NH2, CH3CN) Amino acids are our foundation; how do we make them chemically? The process of converting N2 into biologically accessible N is called nitrogen fixation
Nitrogen fixation…. 4 CH3COOH + 2N2+ 2H2O 4 H2NCH2OOH + O2 (glycine) DG = +564 kJ 2 CH3COOH + 2NH3+ O2 2 H2NCH2OOH + 2H2O (glycine) DG = -396 kJ
Nitrogen fixation…. Four basic compounds used to create nitrogenous fertilizer: NH3 HNO3 NH4NO3 (NH2)2CO DGo = negative Ammonia, Nitric acid, Ammonium nitrate, urea
A biochemical use for thermo: • Mammalian metabolism: • ATP + H2O ADP + H3PO4 DG = -31kJ • 36ADP + 36H3PO4 + 6O2 + C6H12O6 • (energy storage) 36ATP + 6CO2 + 42H2O Adenosine triphosphate (ATP)
Also: Coupled reactions • Mammalian metabolism: necessary reactions that are non-spontaneous are made spontaneous by “coupling” them with ATP • e.g. the production • of glutamine
1. L-Glutamine is highly correlated to muscle protein synthesis. • 2. Some studies have shown that Glutamine can increase Growth Hormone levels in the body as much as 300%. • 3. L-Glutamine plays a vital role in cell immunity. • 4. L-Glutamine plays a role in nitrogen transport in the body. • example: the production of glutamine
The problem: • glutamic acid + NH3glutamine + H2O • DG = +14 kJ non-spontaneous But… ATP + H2O ADP + H3PO4 DG = -31kJ So, if these two systems were coupled…
glutamic acid + ATP + NH3 ADP + glutamine + H3PO4 DG = -17 kJ + ATP + H2O ADP + H3PO4 DG = -31 kJ • glutamic acid + NH3glutamine + H2O DG = +14 kJ This coupling is how many biochemical reaction proceed. It is an example of Hess’ Law. Finish Chapter 14…
Chapters 6 and 14 introduced Thermodynamics: • heat, work, energy, 1st , 2nd laws, state vs. path variables, spontaneity, etc. as related to chemical reactions…. • Chapter 15 introduces: • the rate of reactions (kinetics) • the mechanisms of reactions • These two concepts are closely related on a molecular level!