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Calculate the change in Gibbs free energy ( G ) for the reaction 2 SO 2 ( ) + O 2 ( ) 2 SO

Calculate the change in Gibbs free energy (
G) for the reaction
2
SO
2
(
)
+
O
2
(
)
2
SO
3
(
)
2SO
2
(g)+O
2
(g)2SO
3
(g) at 298 K, given the following standard free energies of formation:
(
SO
2
(
)
)
=
300.4
kJ/mol
G
f
(SO
2
(g))=300.4kJ/mol,
(
O
2
(
)
)
=
0
kJ/mol
G
f
(O
2
(g))=0kJ/mol, and
(
SO
3
(
)
)
=
370.4
kJ/mol
G
f
(SO
3
(g))=370.4kJ/mol.
The decomposition of hydrogen peroxide is a first-order reaction with a rate constant of
1.06
1
0
3
min
1
1.0610
3
min
1
at 25C. Calculate the time required for the concentration of hydrogen peroxide to decrease from 0.5 M to 0.1 M.
Calculate the standard cell potential (
E
) for the cell reaction
Zn
(
)
+
Cu
2
+
(
)
Zn
2
+
(
)
+
Cu
(
)
Zn(s)+Cu
2+
(aq)Zn
2+
(aq)+Cu(s), given the standard reduction potentials:
(
Zn
2
+
/
Zn
)
=
0.76
V
E
(Zn
2+
/Zn)=0.76V and
(
Cu
2
+
/
Cu
)
=
+
0.34
V
E
(Cu
2+
/Cu)=+0.34V.
For the reaction
N
2
(
)
+
3
H
2
(
)
2
NH
3
(
)
N
2
(g)+3H
2
(g)2NH
3
(g), the equilibrium constant
K
c
at 500 K is 6.0. Calculate the concentrations of all species at equilibrium if the initial concentrations are
[
N
2
]
=
1.0
M
[N
2
]=1.0M,
[
H
2
]
=
1.5
M
[H
2
]=1.5M, and
[
NH
3
]
=
0
M
[NH
3
]=0M.
Calculate the pH of a 0.1 M acetic acid solution. The
K
a
of acetic acid is
1.8
1
0
5
1.810
5
.
Calculate the amount of heat released when 5.00 grams of propane (
C
3
H
8
C
3
H
8
) is burned in excess oxygen, given the standard enthalpies of formation:
(
C
3
H
8
(
)
)
=
104.7
kJ/mol
H
f
(C
3
H
8
(g))=104.7kJ/mol,
(
CO
2
(
)
)
=
393.5
kJ/mol
H
f
(CO
2
(g))=393.5kJ/mol, and
(
H
2
O
(
)
)
=
285.8
kJ/mol
H
f
(H
2
O(l))=285.8kJ/mol.
Calculate the wavelength of the photon emitted when an electron in a hydrogen atom transitions from the
=
3
n=3 level to the
=
2
n=2 level. Use the Rydberg constant
=
1.097
1
0
7
m
1
R
H
=1.09710
7
m
1
.
Calculate the number of possible stereoisomers for a compound with the molecular formula
C
6
H
12
O
4
C
6
H
12
O
4
that contains two chiral centers.
Calculate the mass of
KClO
3
KClO
3
needed to produce 5.0 grams of oxygen gas by decomposition. The reaction is
2
KClO
3
(
)
2
KCl
(
)
+
3
O
2
(
)
2KClO
3
(s)2KCl(s)+3O
2
(g).
Calculate the freezing point depression of a solution containing 0.5 moles of glucose (
C
6
H
12
O
6
C
6
H
12

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