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11-12-09

# 11-12-09 - aA bB Go < 0 If at a given time(t0 A B C D are...

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Free Energy and Equilibrium a A + b B c C + d D G o < 0 If, at a given time ( t 0 ), A, B, C, D are in their standard states, then, a moment later ( t 1 ), the ratio [C] c [D] d [A] a [B] b will be larger than 1. What is the value of G at t 1 ? Q =

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G = G o + R T ln Q At equilibrium, G = 0 G o = - R T ln Q eq [C] c [D] d [A] a [B] b Q eq = K eq G o = - R T ln K eq [C] c [D] d [A] a [B] b
G Q K eq 1 G o G o < 0 0 K eq > 1 Reaction is product-favored G = G o + R T ln Q G o = - R T ln K eq

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G Q K eq 1 G o G o > 0 0 K eq < 1 Reaction is reactant-favored G = G o + R T ln Q G o = - R T ln K eq
H 2 O ( l ) H 2 O ( g ) Calculate G o at 298K. Is the process spontaneous at this temperature (when both reactants and products are in their standard states)? Clicker question from Tuesday’s lecture: B. Yes, as evidenced by the fact that a puddle of liquid water at 298 K will eventually disappear. A. No, because G o > 0

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H 2 O ( l ) H 2 O ( g ) Using data of previous clicker question, had calculated: H o = 44 kJ/mol S o = 118.89 J/mol.K G o
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