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10.37 Exam 2 25 April, 2007
100 points
Problem 1: 35 points
A protein and ligand bind reversibly with K
d
= 10 nM . The association rate constant
k
on
= 2x10
4
M
1
s
1
. The two species are mixed at an initial protein concentration of 3 nM
and an initial ligand concentration of 0.2 nM.
a) At equilibrium, what fraction of the ligand will be complexed with protein? (15 points)
b) At what time will the fraction of ligand in complex reach 95% of the equilibrium
value? (20 points)
Justify any assumptions you make to simplify equations.
Problem 2: 30 points
A surfacecatalyzed reaction follows RidealEley kinetics as follows:
A
A
k
k
A
SA
−
⎯⎯⎯→
+
←⎯⎯⎯
S
1
2
k
A
A S
+⎯
⎯
→+
Where
A
and
A
2
are in the gas phase,
S
is a reactive site on the surface, and
AS
is a
molecule of
A
adsorbed to a reactive site.
Assuming that:
adsorption of
A
is at rapid equilibrium
reaction of
AS
with
A
is ratelimiting
desorption of
A
2
is very rapid
Derive the steadystate rate law for production of A
2
as a function of the concentration of
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This note was uploaded on 11/27/2011 for the course CHEMICAL E 10.302 taught by Professor Clarkcolton during the Fall '04 term at MIT.
 Fall '04
 ClarkColton

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