18.7
= −12.3 + 5.8 kJ mol
−1
= −6.5 kJ mol
−1
= 9.6 − 5.8 kJ mol
−1
= +3.8 kJ mol
−1
ΔG NET = ΔG Na + ΔG K = −2.7 kJ mol
−1
18.8 (a)
= 10.0 kJ mol
−1
(b)
= −0.7 kJ mol
−1
(c) ΔG NET = 3ΔG Na + 3ΔG K = 28.6 kJ mol
−1
(d) Need ΔG ATP − ΔG NET < 0
18.9
= −11.3 + 6.2 kJ mol
−1
= −5.1 kJ mol
−1
= +9.6 − 6.2 kJ mol
−1
= +3.4 kJ mol
−1
ΔG NET = ΔG Na + ΔG K = −1.6 kJ mol
−1
=
+
−
( .
)(
) ln
( )( .
0 0083
298
200
4
1 96 5
1
kJ molK
K
kJ m
molV
V
−
−
1
0 065
)( .
)
ΔG
RT
c
c
zF V
out
in
K
ln
=
+ ∇
=
+
−
( .
)(
) ln
( )( .
0 0083
298
2
200
1 96 5
1
kJ molK
K
kJ m
molV
V
−
+
1
0 065
)( .
)
ΔG
RT
c
c
zF V
out
in
Na
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=
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=
+
−
( .
)(
)ln
.
.
( )(
0 0083
310
0 05
0 01
1 96
1
kJ molK
K
. .
) ( .
)
5
0 0 5
1
kJ molV
V
−
−
ΔG
RT
c
c
zF V
out
in
K
ln
=
+ ∇
=
+
−
( .
)(
)ln
.
.
( )(
0 0083
310
0 15
0 02
1 96
1
kJ molK
K
. .
) ( .
)
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0 0 5
1
kJ molV
V
−
+
ΔG
RT
c
c
zF V
out
in
Na
ln
=
+ ∇
=
+
−
( .
)(
)ln
( )( .
0 0083
295
100
2
1 96 5
1
kJ molK
K
kJ m molV
V
−
−
1
0 06
)( .
)
ΔG
RT
c
c
zF V
out
in
K
ln
=
+ ∇
=
+
−
( .
)(
) ln
( )( .
0 0083
295
1
150
1 96 5
1
kJ molK
K
kJ m molV
V
−
+
1
0 06
)( .
)
ΔG
RT
c
c
zF V
out
in
Na
ln
=
+
∇
482
ANSWERS TO PROBLEMS
9781405124362_5_end.qxd 4/29/08 9:17 Page 482
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