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Transcript
Unit 3: Chemical Equilibrium
Chemistry 30
Practice Questions Section 2.2
The Equilibrium Constant
1.
Write balanced chemical equations for each of the following. Pay close attention to the physical states!
Also - you must include the charge when writing ions, otherwise your answer is incorrect.
Do not balance these equations using fractions for coefficients.
sulfur dioxide gas combines with oxygen gas to produce sulfur trioxide gas
carbon monoxide gas burns in gaseous oxygen to produce carbon dioxide gas
hydrogen chloride gas is produced from hydrogen gas and chlorine gas.
nitrogen gas and oxygen gas combine to produce gaseous dinitrogen oxide.
solid hydrogen cyanide dissolves to produce hydrogen ions and cyanide ions in solution.
solid silver chloride dissolves to produce silver ions and chloride ions in solution.
calcium ions and phosphate ions come out of solution to produce solid calcium phosphate.
2.
For each of the above reactions, write the equilibrium expression, Keq, for the reaction. Remember not to
include solids or liquids in the equilibrium constant expression.
3.
The equilibrium equation for the formation of ammonia is
N2 (g) + 3 H2 (g) ↔ 2 NH3 (g)
At 200°C the concentrations of nitrogen, hydrogen, and ammonia at equilibrium are measured and found to
be:
[N2] = 2.12
[H2] = 1.75
[NH3] = 84.3
Calculate Keq at this temperature.
1
Unit 3: Chemical Equilibrium
4.
5.
Chemistry 30
For each of the following equilibrium systems, identify whether the reactants or products are favored at
equilibrium, or whether they are equally favored.
COCl2 (g) ↔ CO(g) + Cl2 (g)
Keq = 8.2× 10-2 at 627°C
C(s) + 2 H2 (g) ↔ CH4 (g)
Keq = 8.1× 108 at 25°
PCl5 (g) ↔ PCl3 (g) + Cl2 (g)
Keq = 2.24 at 227°C
H2 (g) + Cl2 (g) ↔ 2 HCl(g)
Keq = 1.8 × 1033 at 25°C
C(s) + H2O (g) ↔ CO(g) + H2 (g)
Keq = 1.96 at 1000°C
Mg(OH)2 (s) ↔ Mg2+(aq) + 2 OH-(aq)
Keq = 1.2× 10-11 at 25°C
For the reaction: carbon monoxide burns in oxygen to produce carbon dioxide
You are given the following equilibrium conditions:
[O2] = 1.30 × 10-3
[CO2] = 2.50 × 10-4
Keq = 3.60 × 10-3
Calculate [CO]
2
Unit 3: Chemical Equilibrium
Chemistry 30
Practice Questions Section 2.2
The Equilibrium Constant
1.
Answers
Write balanced chemical equations for each of the following. Pay close attention to the physical states!
Also - you must include the charge when writing ions, otherwise your answer is incorrect.
Do not balance these equations using fractions for coefficients.
sulfur dioxide gas combines with oxygen gas to produce sulfur trioxide gas
2 SO2 (g) + O2 (g) ↔ 2 SO3 (g)
carbon monoxide gas burns in gaseous oxygen to produce carbon dioxide gas
2 CO (g) + O2 (g) ↔ 2 CO2 (g)
hydrogen chloride gas is produced from hydrogen gas and chlorine gas.
H2 (g) + Cl2 (g) ↔ 2 HCl (g)
nitrogen gas and oxygen gas combine to produce gaseous dinitrogen oxide.
2 N2 (g) + O2 (g) ↔ 2 N2O (g)
solid hydrogen cyanide dissolves to produce hydrogen ions and cyanide ions in solution.
HCN(s) ↔ H+(aq) + CN-(aq)
solid silver chloride dissolves to produce silver ions and chloride ions in solution.
AgCl(s) ↔ Ag+(aq) + Cl-(aq)
calcium ions and phosphate ions come out of solution to produce solid calcium phosphate.
3 Ca2+(aq) + 2 PO43-(aq) ↔ Ca3(PO4)2 (s)
2.
For each of the above reactions, write the equilibrium expression, Keq, for the reaction. Remember not to
include solids or liquids in the equilibrium constant expression.
[SO 3 ] 2
2 SO2 (g) + O2 (g) ↔ 2 SO3 (g)
K eq =
2 CO (g) + O2 (g) ↔ 2 CO2 (g)
K eq =
H2 (g) + Cl2 (g) ↔ 2 HCl (g)
K eq =
2 N2 (g) + O2 (g) ↔ 2 N2O (g)
K eq =
[SO 2 ] 2 [O 2 ]
[CO 2 ] 2
[CO ] 2 [O 2 ]
[HCl]
[H 2 ] [Cl 2 ]
[ N 2 O] 2
[ N 2 ] 2 [O 2 ]
3
Unit 3: Chemical Equilibrium
Chemistry 30
HCN(s) ↔ H+(aq) + CN-(aq)
K eq = [ H + ][CN − ]
AgCl(s) ↔ Ag+(aq) + Cl-(aq)
K eq = [ Ag + ][Cl − ]
K eq =
3 Ca2+(aq) + 2 PO43-(aq) ↔ Ca3(PO4)2 (s)
3.
1
[Ca
] [PO 4 3− ] 2
2+ 3
The equilibrium equation for the formation of ammonia is
N2 (g) + 3 H2 (g) ↔ 2 NH3 (g)
At 200°C the concentrations of nitrogen, hydrogen, and ammonia at equilibrium are measured and found to
be:
[N2] = 2.12
[H2] = 1.75
[NH3] = 84.3
Calculate Keq at this temperature.
Solution:
K eq =
4.
[ NH 3 ] 2
[ N 2 ] [H 2 ]3
=
(84.3) 2
(2.12)(1.75) 3
=
7.11× 10 3
= 626
(2.12)(5.36)
answer
For each of the following equilibrium systems, identify whether the reactants or products are favored at
equilibrium, or whether they are equally favored.
Answer
COCl2 (g) ↔ CO(g) + Cl2 (g)
Keq = 8.2× 10-2 at 627°C
reactants; COCl2 (g)
C(s) + 2 H2 (g) ↔ CH4 (g)
Keq = 8.1× 108 at 25°
products; CH4 (g)
PCl5 (g) ↔ PCl3 (g) + Cl2 (g)
Keq = 2.24 at 227°C
equal
H2 (g) + Cl2 (g) ↔ 2 HCl(g)
Keq = 1.8 × 1033 at 25°C
products; HCl(g)
C(s) + H2O (g) ↔ CO(g) + H2 (g)
Keq = 1.96 at 1000°C
equal
Mg(OH)2 (s) ↔ Mg2+(aq) + 2 OH-(aq)
Keq = 1.2× 10-11 at 25°C
reactants; Mg(OH)2 (s)
4
Unit 3: Chemical Equilibrium
5.
Chemistry 30
For the reaction: carbon monoxide burns in oxygen to produce carbon dioxide
You are given the following equilibrium conditions:
[O2] = 1.30 × 10-3
[CO2] = 2.50 × 10-4
Keq = 3.60 × 10-3
Calculate [CO]
Solution:
Begin by writing a balanced equation for the reaction:
2 CO(g) + O2 (g) ↔ 2 CO2 (g)
Next, set up the equilibrium constant expression and solve for the unknown, [CO]. You will find it easier
to let [CO] = χ while you rearrange the equation:
K eq = =
[CO 2 ] 2
[CO] 2 [O 2 ]
3.60 × 10 −3 =
(2.50 × 10 − 4 ) 2
(χ) 2 (1.30 × 10 −3 )
(3.60 × 10 −3 )(1.30 × 10 −3 )(χ 2 ) = (2.50 × 10 − 4 ) 2
(4.68 × 10 −6 )(χ 2 ) = 6.25 × 10 −8
χ 2 = 0.0134
χ = [CO] = 0.116 M
5