BioPHYSICAL chemistry

(singke) #1
7.11 (a)

(b)

(c)

7.12 (a)

(b)

(c) Since the reactions are irreversible, the concentrations of A and
B are zero and that of C is 0.3 M.

7.13

=17.62 kJ mol−^1

7.14

=107.8 kJ mol−^1

7.15

=− −




.

5

0 008314

1

277

1

295

kJ mol^1
kJ/(Kmol) K K

⎜⎜⎜



⎟⎟→=k 2 878 s−^1

lnkkln ln

E

RT T

21 A k
21

2

11

−=− −



⎜⎜



⎟⎟→−− 691.

E

Rk k
A TT

(ln ln )
//

.

=−



(^21) =
(^1121)
0 008314 kJJ/(Kmol)
KK


(. .)

(/ ) (/

−+


10 41 11 87

1 293 1 303 ))

lnkkln

E

RT T

21 A EA

21

11

−=− −



⎜⎜



⎟⎟→=−−



Rk k
TT

(ln ln )
//

21

(^1121)


E

Rk k
A TT

(ln ln )
//

.

=−



(^21) =
(^1121)
0 008314 kJ/((Kmol)
KK
(ln ln )
(/ ) (/ )


20 10

1 330 1 298



lnkkln

E

RT T

21 A EA

21

11

−=− −



⎜⎜



⎟⎟→=−−



Rk k
TT

(ln ln )
//

21

(^1121)
dC
d
BsMMs


[]

[] (. )(. ).

t

=−kf 2 = 01 −−^1101 = 01

dB
d

AB sM

[]

[] [] (. )(. )

t

=+kkff 12 − =+ 01 −^101 −=(. 01 sM−^1 )(. 01 ) 0

dA
d

AsMMs

[]

[] (. )(. ).

t

=−kf 1 =− 01 −^101 =− 01 −−^1

dA
d

A

dB
d

AB

[] d
[]

[]

[] []

[

t

k
t

=−ff 11 =+kk−f 2

CC

d

B

]

[]

t

=−kf 2

[]

[]

[] [].

A

B

s
s

==so A ==B M



1

1

101

1
1

dB
d

sMsM

[]

()(.)()(.)

t

=+101 101 0−−^11 − =

dA
d

sMsM

[]

()(.)()(.)

t

=−101 101 0−−^11 + =

dA
d

AB

dB
d

A

[]

[] []

[]

[]

t

kk
t

=−fb+ =+kkfb− [[]B

ANSWERS TO PROBLEMS 451


9781405124362_5_end.qxd 4/29/08 9:17 Page 451

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