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To Find Delta Surroundings -constant pressure
-deltaH/T
Delta S Univ
Delta S sys+ Delta S surr
sys-gas mols
surr delta H
Gibbs free energy
Delta G=DeltaH-T*DeltaS
Spontaneous
Delta S (+)
Delta G (-) more accurate
entropy change in sys
Delta S= (q rev)/T
q=n(delta Hvap)
Threshold temp
T=delta H/delta S
delta S rxn
sum of S products- sum of S reactants
Gibbs free energy with pressure
Delta G rxn= Delta Grxn+RTlnQ
Gibbs free with pressure to find K
k=e-DeltaG/(RT)
Change in Delta Go
Delta Gorxn= n*delta Goog
Relationship between Delta G and K
delta G (-)=k(+) products favored
delta G (+)=k(-) reactants favored
Rate of Reaction
rate= -(1/v) delta [reactant]/delta t
Characteristics:
0th order, 1st order, 2nd order
0th order- constant no matter conc.
1st order- linear with conc
2nd order- square of conc.
First order for new conc.
[A]2/[A]1=x
(x)(rate)
Second order for new conc.
([A]2/[A]1)2=x
(x)(rate)
Half life: for all orders
0th order: t1/2=[A0]/2k
1st order: t1/2=0.693/k
2nd order: t1/2=1/(k[A0]
integrated form
0th order: [A]=[A0]-kt
1st order: ln[A]=ln[A]-kt
2nd order: 1/[A]=1/[A0]+kt
integrated form with percentage
[A]=decimal percent
[A0]= 1
Activation Energy
lnk=lnA-(ea-R)(1/T)
With 2 rate constant/ temp
ln(k2/k1)=(Ea/R)(1/T1-1/T2)
Ea to solve for k
k=Ae^-Ea/(RT)