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Tutorial on Dynamic Equilibrium, Equilibrium 
constant Kc and Reaction quotient Qc. 
Prepared by 
Lawrence Kok 
http://lawrencekok.blogspot.com
Dynamic Equilibrium 
Closed system 
Reversible 
Forward Rate, Kf 
Reverse Rate, Kr 
2NO2(g) N2O4(g) 
combining dissociation 
Conc vs time Rate vs time 
Conc 
Time 
Conc NO2 
Conc N2O4 
Forward rate 
brown colourless 
2NO2(g) N2O4(g) 
Backward rate
Dynamic Equilibrium 
Closed system 
Reversible 
Forward Rate, Kf 
Reverse Rate, Kr 
2NO2(g) N2O4(g) 
combining dissociation 
Chemical system 
Forward rate rxn 
Rate Combining 
Backward rate rxn 
Rate dissociation 
Rate of forward = Rate of backward 
Conc of reactant and product 
remain UNCHANGED/CONSTANT not EQUAL 
Reversible rxn happening, same time with same rate 
Conc vs time Rate vs time 
Conc 
Time 
Conc NO2 
Conc N2O4 
Forward rate 
brown colourless 
2NO2(g) N2O4(g) 
Backward rate 
With time 
• Conc NO2 decrease -Forward rate decrease 
• Conc N2O4 increase - Backward rate increase 
Forward Rate = Backward Rate 
Conc NO2 and N2O4 remain UNCHANGED/CONSTANT
How dynamic equilibrium is achieved in closed system? 
Conc of NO2 decrease ↓over time 
NO2 
2NO2(g) N2O4(g) 
Conc of N2O4 increase ↑ over time 
N2O4 
1 As reaction proceeds 
concentration
How dynamic equilibrium is achieved in closed system? 
Conc of NO2 decrease ↓over time 
NO2 
Forward rate, Kf decrease ↓ over time 
2NO2(g) N2O4(g) 
Conc of N2O4 increase ↑ over time 
N2O4 
Reverse rate, Kr increase ↑ over time 
NO2 
N2O4 
1 
2 
As reaction proceeds 
concentration 
As reaction proceeds 
rate
How dynamic equilibrium is achieved in closed system? 
Conc of NO2 decrease ↓over time 
NO2 
Forward rate, Kf decrease ↓ over time 
Forward Rate = Reverse Rate 
2NO2(g) N2O4(g) 
Conc of N2O4 increase ↑ over time 
N2O4 
Reverse rate, Kr increase ↑ over time 
NO2 
N2O4 
1 
2 
Conc of reactant/product remain constant 
Rate 
3 
Time 
Conc 
NO2 
N2O4 
As reaction proceeds 
concentration 
As reaction proceeds 
rate 
At dynamic equilibrium 
Time 
Click here to view simulation
Conc vs Time 
How dynamic equilibrium is achieved in a closed system? 
Rate forward = ½ breakdown = ½ x 40 = 20 
40 0 
Rate reverse = ¼ form = ¼ x 0 = 0 
Rate forward = ½ breakdown = ½ x 20 = 10 
20 20 
Rate reverse = ¼ form = ¼ x 20 = 5 
Rate forward = ½ breakdown = ½ x 15 = 8 
15 25 
Rate reverse = ¼ form = ¼ x 25 = 6 
Rate forward = ½ breakdown = ½ x 13 = 7 
13 27 
Rate reverse = ¼ form = ¼ x 27 = 7 
13 27 
At dynamic Equilibrium 
Rate forward = Rate reverse 
Breakdown (7) = Formation (7) 
At dynamic Equilibrium 
Conc reactant 13 /Product 27 constant 
Rate vs Time 
1/ 2 
1/ 4 
.. tan .. 
  K 
  
1   
rate .. cons tan t .. 
reverse 
 1 
rate cons t forward 
K 
  
  
1/ 2 
1    
K2 
2 
c 27 
product 
   
13 
reac tan 
t 
1/ 4 
 K 
1 
K 
Kc or
Dynamic Equilibrium 
Forward Rate, K1 Reverse Rate, K-1 
Reversible (closed system) 
At Equilibrium 
Conc vs time Rate vs time 
Forward rate = Backward rate 
A + B 
C + D 
Conc 
Time 
Conc reactants and products remain 
CONSTANT/UNCHANGE
Dynamic Equilibrium 
Forward Rate, K1 Reverse Rate, K-1 
Reversible (closed system) 
At Equilibrium 
Forward rate = Backward rate 
Conc of product and reactant 
at equilibrium 
Conc reactants and products remain 
CONSTANT/UNCHANGE 
Equilibrium Constant Kc 
aA(aq) + bB(aq) cC(aq) + dD(aq) 
coefficient 
Solid/liq not included in Kc 
Conc represented by [ ] 
K1 
K-1 
Conc vs time Rate vs time 
A + B 
C + D 
Conc 
Time
Dynamic Equilibrium 
Forward Rate, K1 Reverse Rate, K-1 
Reversible (closed system) 
At Equilibrium 
aA(aq) + bB(aq) cC(aq) + dD(aq) 
coefficient 
Solid/liq not included in Kc 
C D 
1 
K 
 
rate cons t forward 
K 
.. tan .. 
1  
 
Kc = ratio of molar conc of product (raised to power of their respective stoichiometry coefficient) 
to molar conc of reactant (raised to power of their respective stoichiometry coefficient) 
Forward rate = Backward rate 
Conc of product and reactant 
at equilibrium 
Conc reactants and products remain 
CONSTANT/UNCHANGE 
Equilibrium Constant Kc 
Conc represented by [ ] 
K1 
K-1 
    
 a  b 
c d 
c 
A B 
K  
1 
 
K 
Kc 
Equilibrium Constant Kc 
express in 
Conc vs time Rate vs time 
A + B 
C + D 
Conc 
Time 
Excellent Notes 
Click here notes on dynamic equilibrium 
rate cons t reverse 
K 
.. tan .. 
1
Magnitude of Kc 
Position of equilibrium 
    
 a  b 
c d 
c 
C D 
A B 
K  
Extend of reaction 
How far rxn shift to right or left? 
Not how fast 
    
   a b 
c d 
K    
c 
C D 
A B 
 c K  c K 
92 3 10   c K 
1 
81  310 c K 2  8.710 c K
81  310 c K 
Large Kc 
C D 
• Position equilibrium shift to right 
• More products > reactants 
Magnitude of Kc 
Position of equilibrium 
    
 a  b 
c d 
c 
C D 
A B 
K  
Extend of reaction 
How far rxn shift to right or left? 
Not how fast 
    
   a b 
c d 
c 
A B 
K  
92 3 10   c K 
Small Kc 
• Position equilibrium shift to left 
• More reactants > products 
  
 c K  c K 
2CO2(g) ↔ 2CO(g) + O2(g) 
2H2(g) + O2(g) ↔ 2H2O(g) 
1 
2  8.710 c K 
H2(g) + I2(g) ↔ 2HI(g) 
Kc 
• Position equilibrium lies slightly right 
• Reactants and products equal amount
81  310 c K 
Large Kc 
C D 
• Position equilibrium shift to right 
• More products > reactants 
Magnitude of Kc 
Position of equilibrium 
    
 a  b 
c d 
c 
C D 
A B 
K  
Extend of reaction 
How far rxn shift to right or left? 
Not how fast 
    
   a b 
c d 
c 
A B 
K  
92 3 10   c K 
Small Kc 
• Position equilibrium shift to left 
• More reactants > products 
  
 c K  c K 
2CO2(g) ↔ 2CO(g) + O2(g) 
2H2(g) + O2(g) ↔ 2H2O(g) 
1 
2  8.710 c K 
H2(g) + I2(g) ↔ 2HI(g) 
Kc 
• Position equilibrium lies slightly right 
• Reactants and products equal amount 
Reaction completion 
Reactant favoured Reactant/Product equal Product favoured 
c K 
Temp 
dependent 
Extend 
of rxn 
Not how fast
Equilibrium Constant Kc 
aA(aq) + bB(aq) cC(aq) + dD(aq) 
    
 a  b 
c d 
c 
C D 
A B 
K  
Conc of product and reactant at equilibrium 
Equilibrium expression HOMOGENEOUS gaseous rxn 
4NH3(g) + 5O2(g) ↔ 4NO(g) + 6H2O(g) N2(g) + 3H2(g) ↔ 2NH3(g) 
NO H O 
Equilibrium expression HOMOGENEOUS liquid rxn 
CH3COOH(l) + C2H5OH(l) ↔ CH3COOC2H5(l) + H2O(l) 
NH4CI(s) ↔ NH3(g) + HCI(g) 
2SO2(g) + O2(g) ↔ 2SO3(g) 
    
   5 
2 
4 
3 
6 
2 
4 
NH O 
Kc  
  
   3 
2 
NH 
1 
2 
2 
3 
N H 
Kc  
    
 0 
1 1 
NH HCI 
3 
NH CI 
4 
   1 1 
Kc  
3 K NH HCI c  
  
   1 
2 
SO 
2 
2 
2 
3 
SO O 
Kc  
 CH COOC H   H O 
 
   1 
Equilibrium expression HETEROGENOUS rxn 
CaCO3(s) ↔ CaO(g) + CO2(g) 
 CaO   CO 
 
 0 
3 
1 
2 
1 
CaCO 
Kc  
   1 
2 
1 K CaO CO c  
2 5 
1 
3 
1 
2 
1 
3 2 5 
CH COOH C H OH 
Kc  
Cu2+ 
(aq) + 4NH3(aq) ↔ [Cu(NH3)4]2+ 
    
   4 
3 
Cu NH 
2 1 
2 
3 4 ( ) 
Cu NH 
Kc 
 
 
 
Reactant/product same phase 
Reactant/product diff phase
Equilibrium Constant Kc Equilibrium Constant Kc 
bB aA 
A 
2aA 2bB 
B 
K 2 
1 
aA bB 
aA bB 
  
b 
 a 
K  
c 
B 
A 
aA bB 
B 
aA bB 
  
 b 
a 
c 
B 
K  ' 
Effect on Kc 
Inverse Kc 
c 
c K 
K 
' 1  
inverse 
X2 coefficient 
Square Kc 
' 2 
c c K  K 
coefficient 
1 
2 
  
b 
  a 
c 
B 
A 
K 
2 
1 
2 
1 
Square root c K 
' 1 
'  c c c K  K 2  K 
  
b 
 a 
c 
A 
K  
  
b 
 a 
c 
B 
A 
K  
  
b 
  a 
c 
A 
2 
'  
2 
1 
+ 2 reactions + aA cC 
aA bB bB cC 
  
b 
 a 
ci 
B 
A 
K  
  
 b 
c 
cii 
C 
B 
K  
  
  
  
  
  
c 
 a 
b 
K    ' 
a 
c 
b 
c 
C 
A 
B 
A 
C 
B 
Multiply both Kc 
c cii ci K  K  K ' 
2 
cii K ci K
N2(g) + O2(g) ↔ 2NO(g) 
2NO(g) + O2(g) ↔ 2NO2(g) 
19 10 3. 2    ci K 
 3106 cii K 
N2(g) + 2O2(g) ↔2NO2(g) K K K 
2NO2(g) ↔ N2(g) + 2O2(g) 
  
c ci cii 
    
2.3 10 3 10 
13 
19 6 
7 10 
 
 
  
c 
c 
K 
K 
13 7 10   c K 
1 1 
   
7  
10 
' 12 
13 
' 
  
1.42 10 
c 
c 
c 
K 
K 
K 
HF(ag) ↔ H+ 
(aq) + F - 
(aq) 
H2C2O4(ag) ↔ 2H+ 
(aq) + C2O4 
2 - 
(aq) 
4 10 8. 6    ci K 
6 3.8 10   cii K 
2- ↔ 2F - 
2HF(ag) ↔ 2H+ 
(aq) + 2F - 
(aq) 
2- ↔ H2C2O4(aq) 
Add 2 rxn 
2- ↔ H2C2O4(aq) 
2- ↔ 2F - 
2HF(ag) + C2O4 
1 1 
'' 2.6 10 
   
(aq) + H2C2O4(aq) 
2H+ 
(ag) + C2O4 
' 2  4 2 7 6.8 10 4.6 10       c ci K K 
5 
6 
3.8 10 
  
 
cii 
c K 
K 
' '' 
K  K  
K 
c c c 
K 
4.6 10  
7 2.6 10 5 
0.12      
c 
Kc for diff rxn 
Adding 2 rxns 
+ 
Inverse rxn 
Adding 2 rxns 
2HF(ag) + C2O4 
(aq) + H2C2O4(aq) 
+ 
HF(ag) ↔ H+ 
(aq) + F - 
(aq) 
4 6.8 10    ci K 
x2 coefficient 
H2C2O4(ag) ↔ 2H+ 
(aq) + C2O4 
2 - 
Inverse rxn 
6 3.8 10    cii K 
2HF(ag) ↔ 2H+ 
(aq) + 2F - 
(aq) 
2H+ 
(ag) + C2O4 
' 7 4.6 10   c K 
'' 5  2.610 c + K 
Effect on Kc Effect on Kc 
Inverse rxn Inverts expression 
Doubling rxn coefficient Squares expression 
Tripling rxn coefficient Cubes expression 
Halving rxn coefficient Square root expression 
Adding 2 reactions Multiplies 2 expression 
1 
c K 
2 
c K 
3 
c K 
c K 
ii 
c 
i 
c K K 
Square Kc 
Invert Kc 
Multiply Kc 
1 
2 
3 
N2(g) + 2O2(g) ↔ 2NO2(g)
H2 + I2 ↔ 2HI 
 HI 
 
   1 
 50 c K 
2 
1 
2 
2 
H I 
Kc  
2HI ↔ H2 + I2 
    
 2 
1 
2 
1 
H I 
' 2 
HI 
Kc  
0.02 
' 1 1    
50 
c 
c K 
K 
2SO2 + O2 ↔ 2SO3 
  
   1 
2 
SO 
2 
2 
2 
3 
SO O 
Kc  
 200 c K 
1 
SO2 + O2 ↔ SO3 
2 
1 
 
 
 
SO 
200 14.1 '    c c K K 
4SO2 + 2O2 ↔ 4SO3 
 
 
 
 
 
SO 
' 2 2 
   200 
 
40000 
K K 
c c 
K 
, 
  
 
c 
Kc is 170 at 500K 
Determine if rxn is at equilibrium when conc are at: 
[N2] =1.50, [H2] = 1.00, [NH3] = 8.00 
N2(g) + 3H2(g) ↔ 2NH3(g) 
  
   3 
2 
NH 
1 
2 
2 
3 
N H 
Kc  
 NH 
 
2 
3 
  1 
  
3 
2 
2 
 8.00 
 
1.501.00 
 
 
c 
c 
Q 
N H 
Q 
• Rxn not at equilibrium 
• Shift to right, favour product 
• Qc must increase, till equal to Kc 
IB Questions 
Determine Kc for inversing rxn 
inverse 
Determine Kc for halving rxn 
  
    
2 
1 
2 
2 
2 
2 
3 
 
 
 
 
 
 
SO O 
Kc 
halving 
Determine Kc for doubling rxn 
2SO2 + O2 ↔ 2SO3 
doubling 
  
   1 
2 
SO 
2 
2 
2 
3 
SO O 
Kc  
 200 c K 
  
    
2 
1 
2 
2 
2 
2 
3 
 
 
 
 
SO O 
Kc 
1 2 
4 3 
 170 c  42.7 K c Q 
c c Q  K
Kc and Qc 
Initial conc of H2 , I2 and HI At equilibrium 
H2(g) + I2(g) ↔ 2HI(g) 
  
   1 
2 
HI 
1 
2 
2 
H I 
Kc  
 2.52 10 
 
2 2 
 
 
c K  46.4 c K 
    
46.4 
2 1 2 1 
1.14 10 0.12 10 
 
  
 
  
Expt Initial 
Conc H2 
Initial 
Conc I2 
Initial 
Conc HI 
1 2.40 x 10-2 1.38 x 10-2 0 
Expt Equilibrium 
Conc H2 
Equilibrium 
Conc I2 
Equilibrium 
Conc HI 
1 1.14 x 10-2 0.12 x 10-2 2.52 x 10-2 
At equilibrium conc
Kc and Qc 
Initial conc of H2 , I2 and HI At equilibrium 
Expt Initial 
Conc H2 
1 2.40 x 10-2 1.38 x 10-2 0 
H2(g) + I2(g) ↔ 2HI(g) 
Initial 
Conc HI 
  
   1 
2 
HI 
1 
2 
2 
H I 
Initial 
Conc I2 
Kc  
c K  46.4 c K 
 4.00 c Q 
  
   1 
2 
HI 
1 
2 
2 
H I 
Initial conc of H2 , I2 and HI 
Qc  
 2.52 10 
 
2 2 
 
 
    
46.4 
2 1 2 1 
1.14 10 0.12 10 
 
  
 
  
Expt Initial 
Conc H2 
Initial 
Conc I2 
Initial 
Conc HI 
1 0.0500 0.0500 0.100 
Expt Equilibrium 
Conc H2 
Equilibrium 
Conc I2 
Equilibrium 
Conc HI 
1 1.14 x 10-2 0.12 x 10-2 2.52 x 10-2 
At equilibrium conc 
Not at equilibrium 
H2(g) + I2(g) ↔ 2HI(g) 
  
   
4.00 
0.100 2 
  c Q 
0.050 0.050
Kc and Qc 
Expt Initial 
Conc H2 
1 2.40 x 10-2 1.38 x 10-2 0 
H2(g) + I2(g) ↔ 2HI(g) 
2 2 
 
 
c K  46.4 c K 
2 1 2 1 
  c Q 
c K 
2.52 10 
0.100 2 
Constant at 
fixed Temp 
Initial 
Conc HI 
  
   1 
2 
HI 
1 
2 
2 
H I 
Initial 
Conc I2 
Kc  
At equilibrium 
Independent of 
initial conc 
Initial conc of H2 , I2 and HI 
 4.00 c Q 
  
   1 
2 
HI 
1 
2 
2 
H I 
Initial conc of H2 , I2 and HI 
Qc  
  
    
46.4 
1.14 10 0.12 10 
 
  
 
  
Expt Initial 
Conc H2 
Initial 
Conc I2 
Initial 
Conc HI 
1 0.0500 0.0500 0.100 
Expt Equilibrium 
Conc H2 
Equilibrium 
Conc I2 
Equilibrium 
Conc HI 
1 1.14 x 10-2 0.12 x 10-2 2.52 x 10-2 
At equilibrium conc 
Not at equilibrium 
H2(g) + I2(g) ↔ 2HI(g) 
  
   
4.00 
0.050 0.050 
Difference between 
Predict the 
direction of rxn 
c Q 
Conc of 
product/reactant 
at equilibruimconc 
Reaction quotient 
at particular time 
Not at equilibrium 
conc 
Varies NOT constant
Kc and Qc 
H2(g) + I2(g) ↔ 2HI(g) 
  
   1 
2 
HI 
1 
2 
2 
H I 
Kc  
 2.52 10 
 
2 2 
 
 
c K  46.4 c K 
    
46.4 
2 1 2 1 
1.14 10 0.12 10 
 
  
 
  
At equilibrium conc 
c c Q  K c c Q  K 
c c Q  K 
Reaction at 
Initial conc of H2 , I2 and HI 
Expt Initial equilibrium 
Conc H2 
Initial 
Conc I2 
Initial 
Conc HI 
1 0.0500 0.0500 0.100 
Initial conc of H2 , I2 and HI 
Expt Initial 
Conc H2 
Initial 
Conc I2 
Initial 
Conc HI 
1 0.0250 0.0350 0.300
Kc and Qc 
H2(g) + I2(g) ↔ 2HI(g) 
  
   1 
2 
HI 
1 
2 
2 
H I 
Kc  
 2.52 10 
 
2 2 
 
 
c K  46.4 c K 
    
46.4 
2 1 2 1 
1.14 10 0.12 10 
 
  
 
  
At equilibrium conc 
c c Q  K c c Q  K 
c c Q  K 
Reaction at 
equilibrium 
Initial conc of H2 , I2 and HI 
Qc    
  c Q 
More product > reactant 
→ 
HI 
0.300 2 
Rxn shift left more reactant 
c c Q  K 
 c Q 
Bring Qc down 
Initial conc of H2 , I2 and HI 
0.100 2 
  c Q 
More reactant > product 
HI 
Rxn shift right → more product 
Bring Qc up  c Q 
c c Q  K 
 c Q 
Expt Initial 
Conc H2 
Initial 
Conc I2 
Initial 
Conc HI 
1 0.0500 0.0500 0.100 
  
   1 
2 
1 
2 
2 
H I 
Qc  
  
   
4.00 
0.050 0.050 
 c Q 
Expt Initial 
Conc H2 
Initial 
Conc I2 
Initial 
Conc HI 
1 0.0250 0.0350 0.300 
  
   1 
2 
1 
2 
2 
H I 
   
103 
0.0250 0.0350 
Click here to view notes
Kc from reaction stoichiometry 
4 diff initial conc of H2 , I2 and HI At equilibrium Kc = 46.4 ( 730K) 
H2(g) + I2(g) ↔ 2HI(g) 
2.52 10 
2 2 
 
 
2 1 2 1 
K  same  46.4 c 
  
   1 
2 
HI 
1 
2 
2 
H I 
Kc  
  
    
46.4 
1.14 10 0.12 10 
 
  
 
  
c Rxn 1 K 
same 
Rxn 2, 3, 4 
diff initial conc H2(g) + I2(g) ↔ 2HI(g) 
  
   1 
2 
HI 
1 
2 
2 
H I 
Kc 
Kc from reaction stoichiometry 
4 diff initial conc of H2 , I2 and HI At equilibrium Kc = 46.4 ( 730K) 
H2(g) + I2(g) ↔ 2HI(g) 
2.52 10 
2 2 
 
 
2 1 2 1 
K  same  46.4 c 
  
   1 
2 
HI 
1 
2 
2 
H I 
Kc  
  
    
46.4 
1.14 10 0.12 10 
 
  
 
  
c Rxn 1 K 
same 
Rxn 2, 3, 4 
diff initial conc 
more products 
H2(g) + I2(g) ↔ 2HI(g) 
 c Q 
HI 
Rxn shift to right 
more reactants Rxn shift to left 
 product 
 
reac t 
Qc 
tan 
 
 product 
 
reac t 
Qc 
tan 
 
 c Q 
  
   1 
2 
1 
2 
2 
H I 
Kc 
Kc from reaction stoichiometry 
4 diff initial conc of H2 , I2 and HI At equilibrium Kc = 46.4 ( 730K) 
H2(g) + I2(g) ↔ 2HI(g) 
2.52 10 
2 2 
 
 
2 1 2 1 
K  same  46.4 c 
  
   1 
2 
HI 
1 
2 
2 
H I 
Kc  
  
    
46.4 
1.14 10 0.12 10 
 
  
 
  
c Rxn 1 K 
same 
  
2 
   1 
2 
HI 
1 
H I 
2 
Kc  
Qc = Kc - rxn at equilibrium, no side/shift occur 
Qc < Kc – rxn shift right, favour product 
Qc > Kc – rxn shift left, favour reactant 
Rxn 2, 3, 4 
diff initial conc 
more products 
H2(g) + I2(g) ↔ 2HI(g) 
 c Q 
Rxn shift to right 
more reactants Rxn shift to left 
 product 
 
reac t 
Qc 
tan 
 
 product 
 
reac t 
Qc 
tan 
 
 c Q 
c c Q  K 
c c Q  K c c Q  K
Kc and Qc 
H2(g) + I2(g) ↔ 2HI(g) 
  
   1 
2 
HI 
1 
2 
2 
H I 
Kc  
2.52 10 
2 2 
 
 
c K  46.4 c K 
2 1 2 1 
 4.00 c Q   
   1 
2 
HI 
1 
2 
2 
H I 
Initial conc of H2 , I2 and HI 
Qc  
  
    
46.4 
1.14 10 0.12 10 
 
  
 
  
Expt Initial 
Conc H2 
Initial 
Conc I2 
Initial 
Conc HI 
1 0.0500 0.0500 0.100 
At equilibrium conc 
Not at equilibrium 
H2(g) + I2(g) ↔ 2HI(g) 
  
   
4.00 
0.100 2 
  c Q 
0.050 0.050 
c c Q  K c c Q  K 
Reaction at 
equilibrium 
 4.00 c Q  46.4 c < K 
More reactant > product 
Rxn shift right → more product 
Bring Qc up  c Q 
 c Q 
c c Q  K
Kc and Qc 
H2(g) + I2(g) ↔ 2HI(g) 
  
   1 
2 
HI 
1 
2 
2 
H I 
Kc  
c K  46.4 c K 
 103 c Q 
  
   1 
2 
HI 
1 
2 
2 
H I 
Qc  
 2.52 10 
 
2 2 
 
 
    
46.4 
2 1 2 1 
1.14 10 0.12 10 
 
  
 
  
Initial conc of H2 , I2 and HI 
At equilibrium conc 
Not at equilibrium 
H2(g) + I2(g) ↔ 2HI(g) 
  c Q 
c c Q  K 
c c Q  K 
Reaction at 
equilibrium 
0.300 2 
More product > reactant 
→ 
Rxn shift left more reactant 
c c Q  K 
 c Q 
Bring Qc down  c Q 
Expt Initial 
Conc H2 
Initial 
Conc I2 
Initial 
Conc HI 
1 0.0250 0.0350 0.300 
  
   
103 
0.0250 0.0350 
 103 c Q  46.4 c > K
How dynamic equilibrium is shifted when H2 is added ? 
N2(g) + 3H2(g) ↔ 2NH3(g) 07. 4  c K 
At equilibrium 
Conc reactant/product no change 
Equilibrium Conc H2 = 0.82M 
Equilibrium Conc N2 = 0.20M 
Equilibrium Conc NH3 = 0.67M 
  
   3 
2 
NH 
1 
2 
2 
3 
N H 
Kc  
  
2 
0.67 
 0.20  1  0.82 
3 
 c K 
 4.07 c K
How dynamic equilibrium is shifted when H2 is added ? 
N2(g) + 3H2(g) ↔ 2NH3(g) 07. 4  c K 
Equilibrium disturbed 
H2 added. More reactant 
At equilibrium 
Conc reactant/product no change 
NH 
0.67 
 2.24 c Q 
Equilibrium Conc H2 = 0.82M 
Equilibrium Conc N2 = 0.20M 
Equilibrium Conc NH3 = 0.67M 
  
   3 
2 
NH 
1 
2 
2 
3 
N H 
Kc  
  
2 
0.67 
 0.20  1  0.82 
3 
 c K 
New Conc H2 = 1.00M 
Conc N2 = 0.20M 
Conc NH3 = 0.67M 
  
   3 
2 
1 
2 
2 
3 
N H 
Qc  
  
2 
 0.20  1  1.00 
3 
 c Q 
 4.07 c K
How dynamic equilibrium is shifted when H2 is added ? 
N2(g) + 3H2(g) ↔ 2NH3(g) 07. 4  c K 
Equilibrium disturbed 
H2 added. More reactant 
At equilibrium 
Conc reactant/product no change 
At new equilibrium 
Conc reactant/product no change 
NH 
0.67 
 2.24 c Q 
Equilibrium Conc H2 = 0.82M 
Equilibrium Conc N2 = 0.20M 
Equilibrium Conc NH3 = 0.67M 
  
   3 
2 
NH 
1 
2 
2 
3 
N H 
Kc  
  
2 
0.67 
 0.20  1  0.82 
3 
 c K 
New Conc H2 = 1.00M 
Conc N2 = 0.20M 
Conc NH3 = 0.67M 
  
   3 
2 
1 
2 
2 
3 
N H 
Qc  
  
2 
 0.20  1  1.00 
3 
 c Q 
 4.07 c K 
New Equilibrium Conc H2 = 0.90M 
New Equilibrium Conc N2 = 0.19M 
New Equilibrium Conc NH3 = 0.75M 
NH 
  
2 
0.75 
 0.19  1  0.90 
3 
 c K 
  
   3 
2 
1 
2 
2 
3 
N H 
Kc  
 4.07 c K
How dynamic equilibrium is shifted when H2 is added ? 
• Add H2 , Qc decrease 
• Position equilibrium shift to right 
• Rate forward and reverse increase 
• New equilibrium conc achieved when 
Rate forward Kf = Rate reverse Kr 
• More product NH3 ,but Kc unchanged 
N2(g) + 3H2(g) ↔ 2NH3(g) 07. 4  c K 
Equilibrium disturbed 
H2 added. More reactant 
At equilibrium 
Conc reactant/product no change 
At new equilibrium 
Conc reactant/product no change 
NH 
0.67 
 2.24 c Q 
Equilibrium Conc H2 = 0.82M 
Equilibrium Conc N2 = 0.20M 
Equilibrium Conc NH3 = 0.67M 
  
   3 
2 
NH 
1 
2 
2 
3 
N H 
Kc  
  
2 
0.67 
 0.20  1  0.82 
3 
 c K 
New Conc H2 = 1.00M 
Conc N2 = 0.20M 
Conc NH3 = 0.67M 
  
   3 
2 
1 
2 
2 
3 
N H 
Qc  
  
2 
 0.20  1  1.00 
3 
 c Q 
 4.07 c K 
New Equilibrium Conc H2 = 0.90M 
New Equilibrium Conc N2 = 0.19M 
New Equilibrium Conc NH3 = 0.75M 
NH 
  
2 
0.75 
 0.19  1  0.90 
3 
 c K 
  
   3 
2 
1 
2 
2 
3 
N H 
Kc  
 4.07 c K 
c c Q  K 
Shift to the right 
- Increase product 
- New Conc achieve 
- Qc = Kc again
How dynamic equilibrium is shifted when H2 is added ? 
• Add H2 , Qc decrease 
• Position equilibrium shift to right 
• Rate forward and reverse increase 
• New equilibrium conc achieved when 
Rate forward Kf = Rate reverse Kr 
• More product NH3 ,but Kc unchanged 
At equilibrium 
Conc reactant/product no change 
c c Q  K 
Rate forward Kf = Rate reverse Kr 
N2(g) + 3H2(g) ↔ 2NH3(g) 07. 4  c K 
  4.07 c c Q K 
c c Q  K
How dynamic equilibrium is shifted when H2 is added ? 
• Add H2 , Qc decrease 
• Position equilibrium shift to right 
• Rate forward and reverse increase 
• New equilibrium conc achieved when 
Rate forward Kf = Rate reverse Kr 
• More product NH3 ,but Kc unchanged 
Rate forward Kf = Rate reverse Kr 
N2(g) + 3H2(g) ↔ 2NH3(g) 07. 4  c K 
  4.07 c c Q K 
Equilibrium disturbed 
H2 added. More reactant 
c c Q  K 
Equilibrium shift to right 
 c Q 
Rate forward Kf > Rate reverse Kr 
At equilibrium 
Conc reactant/product no change 
c c Q  K c c Q  K
How dynamic equilibrium is shifted when H2 is added ? 
• Add H2 , Qc decrease 
• Position equilibrium shift to right 
• Rate forward and reverse increase 
• New equilibrium conc achieved when 
Rate forward Kf = Rate reverse Kr 
• More product NH3 ,but Kc unchanged 
Rate forward Kf = Rate reverse Kr 
N2(g) + 3H2(g) ↔ 2NH3(g) 07. 4  c K 
  4.07 c c Q K 
Equilibrium disturbed 
H2 added. More reactant 
c c Q  K 
Equilibrium shift to right 
 c Q 
Rate forward Kf > Rate reverse Kr 
At equilibrium 
Conc reactant/product no change 
At new equilibrium 
Conc reactant/product no change 
Qc increase until Qc = Kc 
 c Q 
Rate forward Kf = Rate reverse Kr 
c c Q  K c c Q  K c c Q  K
Click here simulation using paper clips Click here to view simulation Click here simulation on reversible rxn 
Click here on reversible rxn 
Simulation on Dynamic equilibrium 
Click here on equilibrium constant
Acknowledgements 
Thanks to source of pictures and video used in this presentation 
Thanks to Creative Commons for excellent contribution on licenses 
http://creativecommons.org/licenses/ 
Prepared by Lawrence Kok 
Check out more video tutorials from my site and hope you enjoy this tutorial 
http://lawrencekok.blogspot.com

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IB Chemistry on Equilibrium Constant, Kc and Reaction Quotient, Qc.

  • 1. Tutorial on Dynamic Equilibrium, Equilibrium constant Kc and Reaction quotient Qc. Prepared by Lawrence Kok http://lawrencekok.blogspot.com
  • 2. Dynamic Equilibrium Closed system Reversible Forward Rate, Kf Reverse Rate, Kr 2NO2(g) N2O4(g) combining dissociation Conc vs time Rate vs time Conc Time Conc NO2 Conc N2O4 Forward rate brown colourless 2NO2(g) N2O4(g) Backward rate
  • 3. Dynamic Equilibrium Closed system Reversible Forward Rate, Kf Reverse Rate, Kr 2NO2(g) N2O4(g) combining dissociation Chemical system Forward rate rxn Rate Combining Backward rate rxn Rate dissociation Rate of forward = Rate of backward Conc of reactant and product remain UNCHANGED/CONSTANT not EQUAL Reversible rxn happening, same time with same rate Conc vs time Rate vs time Conc Time Conc NO2 Conc N2O4 Forward rate brown colourless 2NO2(g) N2O4(g) Backward rate With time • Conc NO2 decrease -Forward rate decrease • Conc N2O4 increase - Backward rate increase Forward Rate = Backward Rate Conc NO2 and N2O4 remain UNCHANGED/CONSTANT
  • 4. How dynamic equilibrium is achieved in closed system? Conc of NO2 decrease ↓over time NO2 2NO2(g) N2O4(g) Conc of N2O4 increase ↑ over time N2O4 1 As reaction proceeds concentration
  • 5. How dynamic equilibrium is achieved in closed system? Conc of NO2 decrease ↓over time NO2 Forward rate, Kf decrease ↓ over time 2NO2(g) N2O4(g) Conc of N2O4 increase ↑ over time N2O4 Reverse rate, Kr increase ↑ over time NO2 N2O4 1 2 As reaction proceeds concentration As reaction proceeds rate
  • 6. How dynamic equilibrium is achieved in closed system? Conc of NO2 decrease ↓over time NO2 Forward rate, Kf decrease ↓ over time Forward Rate = Reverse Rate 2NO2(g) N2O4(g) Conc of N2O4 increase ↑ over time N2O4 Reverse rate, Kr increase ↑ over time NO2 N2O4 1 2 Conc of reactant/product remain constant Rate 3 Time Conc NO2 N2O4 As reaction proceeds concentration As reaction proceeds rate At dynamic equilibrium Time Click here to view simulation
  • 7. Conc vs Time How dynamic equilibrium is achieved in a closed system? Rate forward = ½ breakdown = ½ x 40 = 20 40 0 Rate reverse = ¼ form = ¼ x 0 = 0 Rate forward = ½ breakdown = ½ x 20 = 10 20 20 Rate reverse = ¼ form = ¼ x 20 = 5 Rate forward = ½ breakdown = ½ x 15 = 8 15 25 Rate reverse = ¼ form = ¼ x 25 = 6 Rate forward = ½ breakdown = ½ x 13 = 7 13 27 Rate reverse = ¼ form = ¼ x 27 = 7 13 27 At dynamic Equilibrium Rate forward = Rate reverse Breakdown (7) = Formation (7) At dynamic Equilibrium Conc reactant 13 /Product 27 constant Rate vs Time 1/ 2 1/ 4 .. tan ..   K   1   rate .. cons tan t .. reverse  1 rate cons t forward K     1/ 2 1    K2 2 c 27 product    13 reac tan t 1/ 4  K 1 K Kc or
  • 8. Dynamic Equilibrium Forward Rate, K1 Reverse Rate, K-1 Reversible (closed system) At Equilibrium Conc vs time Rate vs time Forward rate = Backward rate A + B C + D Conc Time Conc reactants and products remain CONSTANT/UNCHANGE
  • 9. Dynamic Equilibrium Forward Rate, K1 Reverse Rate, K-1 Reversible (closed system) At Equilibrium Forward rate = Backward rate Conc of product and reactant at equilibrium Conc reactants and products remain CONSTANT/UNCHANGE Equilibrium Constant Kc aA(aq) + bB(aq) cC(aq) + dD(aq) coefficient Solid/liq not included in Kc Conc represented by [ ] K1 K-1 Conc vs time Rate vs time A + B C + D Conc Time
  • 10. Dynamic Equilibrium Forward Rate, K1 Reverse Rate, K-1 Reversible (closed system) At Equilibrium aA(aq) + bB(aq) cC(aq) + dD(aq) coefficient Solid/liq not included in Kc C D 1 K  rate cons t forward K .. tan .. 1   Kc = ratio of molar conc of product (raised to power of their respective stoichiometry coefficient) to molar conc of reactant (raised to power of their respective stoichiometry coefficient) Forward rate = Backward rate Conc of product and reactant at equilibrium Conc reactants and products remain CONSTANT/UNCHANGE Equilibrium Constant Kc Conc represented by [ ] K1 K-1      a  b c d c A B K  1  K Kc Equilibrium Constant Kc express in Conc vs time Rate vs time A + B C + D Conc Time Excellent Notes Click here notes on dynamic equilibrium rate cons t reverse K .. tan .. 1
  • 11. Magnitude of Kc Position of equilibrium      a  b c d c C D A B K  Extend of reaction How far rxn shift to right or left? Not how fast        a b c d K    c C D A B  c K  c K 92 3 10   c K 1 81  310 c K 2  8.710 c K
  • 12. 81  310 c K Large Kc C D • Position equilibrium shift to right • More products > reactants Magnitude of Kc Position of equilibrium      a  b c d c C D A B K  Extend of reaction How far rxn shift to right or left? Not how fast        a b c d c A B K  92 3 10   c K Small Kc • Position equilibrium shift to left • More reactants > products    c K  c K 2CO2(g) ↔ 2CO(g) + O2(g) 2H2(g) + O2(g) ↔ 2H2O(g) 1 2  8.710 c K H2(g) + I2(g) ↔ 2HI(g) Kc • Position equilibrium lies slightly right • Reactants and products equal amount
  • 13. 81  310 c K Large Kc C D • Position equilibrium shift to right • More products > reactants Magnitude of Kc Position of equilibrium      a  b c d c C D A B K  Extend of reaction How far rxn shift to right or left? Not how fast        a b c d c A B K  92 3 10   c K Small Kc • Position equilibrium shift to left • More reactants > products    c K  c K 2CO2(g) ↔ 2CO(g) + O2(g) 2H2(g) + O2(g) ↔ 2H2O(g) 1 2  8.710 c K H2(g) + I2(g) ↔ 2HI(g) Kc • Position equilibrium lies slightly right • Reactants and products equal amount Reaction completion Reactant favoured Reactant/Product equal Product favoured c K Temp dependent Extend of rxn Not how fast
  • 14. Equilibrium Constant Kc aA(aq) + bB(aq) cC(aq) + dD(aq)      a  b c d c C D A B K  Conc of product and reactant at equilibrium Equilibrium expression HOMOGENEOUS gaseous rxn 4NH3(g) + 5O2(g) ↔ 4NO(g) + 6H2O(g) N2(g) + 3H2(g) ↔ 2NH3(g) NO H O Equilibrium expression HOMOGENEOUS liquid rxn CH3COOH(l) + C2H5OH(l) ↔ CH3COOC2H5(l) + H2O(l) NH4CI(s) ↔ NH3(g) + HCI(g) 2SO2(g) + O2(g) ↔ 2SO3(g)        5 2 4 3 6 2 4 NH O Kc       3 2 NH 1 2 2 3 N H Kc       0 1 1 NH HCI 3 NH CI 4    1 1 Kc  3 K NH HCI c       1 2 SO 2 2 2 3 SO O Kc   CH COOC H   H O     1 Equilibrium expression HETEROGENOUS rxn CaCO3(s) ↔ CaO(g) + CO2(g)  CaO   CO   0 3 1 2 1 CaCO Kc     1 2 1 K CaO CO c  2 5 1 3 1 2 1 3 2 5 CH COOH C H OH Kc  Cu2+ (aq) + 4NH3(aq) ↔ [Cu(NH3)4]2+        4 3 Cu NH 2 1 2 3 4 ( ) Cu NH Kc    Reactant/product same phase Reactant/product diff phase
  • 15. Equilibrium Constant Kc Equilibrium Constant Kc bB aA A 2aA 2bB B K 2 1 aA bB aA bB   b  a K  c B A aA bB B aA bB    b a c B K  ' Effect on Kc Inverse Kc c c K K ' 1  inverse X2 coefficient Square Kc ' 2 c c K  K coefficient 1 2   b   a c B A K 2 1 2 1 Square root c K ' 1 '  c c c K  K 2  K   b  a c A K    b  a c B A K    b   a c A 2 '  2 1 + 2 reactions + aA cC aA bB bB cC   b  a ci B A K     b c cii C B K            c  a b K    ' a c b c C A B A C B Multiply both Kc c cii ci K  K  K ' 2 cii K ci K
  • 16. N2(g) + O2(g) ↔ 2NO(g) 2NO(g) + O2(g) ↔ 2NO2(g) 19 10 3. 2    ci K  3106 cii K N2(g) + 2O2(g) ↔2NO2(g) K K K 2NO2(g) ↔ N2(g) + 2O2(g)   c ci cii     2.3 10 3 10 13 19 6 7 10     c c K K 13 7 10   c K 1 1    7  10 ' 12 13 '   1.42 10 c c c K K K HF(ag) ↔ H+ (aq) + F - (aq) H2C2O4(ag) ↔ 2H+ (aq) + C2O4 2 - (aq) 4 10 8. 6    ci K 6 3.8 10   cii K 2- ↔ 2F - 2HF(ag) ↔ 2H+ (aq) + 2F - (aq) 2- ↔ H2C2O4(aq) Add 2 rxn 2- ↔ H2C2O4(aq) 2- ↔ 2F - 2HF(ag) + C2O4 1 1 '' 2.6 10    (aq) + H2C2O4(aq) 2H+ (ag) + C2O4 ' 2  4 2 7 6.8 10 4.6 10       c ci K K 5 6 3.8 10    cii c K K ' '' K  K  K c c c K 4.6 10  7 2.6 10 5 0.12      c Kc for diff rxn Adding 2 rxns + Inverse rxn Adding 2 rxns 2HF(ag) + C2O4 (aq) + H2C2O4(aq) + HF(ag) ↔ H+ (aq) + F - (aq) 4 6.8 10    ci K x2 coefficient H2C2O4(ag) ↔ 2H+ (aq) + C2O4 2 - Inverse rxn 6 3.8 10    cii K 2HF(ag) ↔ 2H+ (aq) + 2F - (aq) 2H+ (ag) + C2O4 ' 7 4.6 10   c K '' 5  2.610 c + K Effect on Kc Effect on Kc Inverse rxn Inverts expression Doubling rxn coefficient Squares expression Tripling rxn coefficient Cubes expression Halving rxn coefficient Square root expression Adding 2 reactions Multiplies 2 expression 1 c K 2 c K 3 c K c K ii c i c K K Square Kc Invert Kc Multiply Kc 1 2 3 N2(g) + 2O2(g) ↔ 2NO2(g)
  • 17. H2 + I2 ↔ 2HI  HI     1  50 c K 2 1 2 2 H I Kc  2HI ↔ H2 + I2      2 1 2 1 H I ' 2 HI Kc  0.02 ' 1 1    50 c c K K 2SO2 + O2 ↔ 2SO3      1 2 SO 2 2 2 3 SO O Kc   200 c K 1 SO2 + O2 ↔ SO3 2 1    SO 200 14.1 '    c c K K 4SO2 + 2O2 ↔ 4SO3      SO ' 2 2    200  40000 K K c c K ,    c Kc is 170 at 500K Determine if rxn is at equilibrium when conc are at: [N2] =1.50, [H2] = 1.00, [NH3] = 8.00 N2(g) + 3H2(g) ↔ 2NH3(g)      3 2 NH 1 2 2 3 N H Kc   NH  2 3   1   3 2 2  8.00  1.501.00   c c Q N H Q • Rxn not at equilibrium • Shift to right, favour product • Qc must increase, till equal to Kc IB Questions Determine Kc for inversing rxn inverse Determine Kc for halving rxn       2 1 2 2 2 2 3       SO O Kc halving Determine Kc for doubling rxn 2SO2 + O2 ↔ 2SO3 doubling      1 2 SO 2 2 2 3 SO O Kc   200 c K       2 1 2 2 2 2 3     SO O Kc 1 2 4 3  170 c  42.7 K c Q c c Q  K
  • 18. Kc and Qc Initial conc of H2 , I2 and HI At equilibrium H2(g) + I2(g) ↔ 2HI(g)      1 2 HI 1 2 2 H I Kc   2.52 10  2 2   c K  46.4 c K     46.4 2 1 2 1 1.14 10 0.12 10       Expt Initial Conc H2 Initial Conc I2 Initial Conc HI 1 2.40 x 10-2 1.38 x 10-2 0 Expt Equilibrium Conc H2 Equilibrium Conc I2 Equilibrium Conc HI 1 1.14 x 10-2 0.12 x 10-2 2.52 x 10-2 At equilibrium conc
  • 19. Kc and Qc Initial conc of H2 , I2 and HI At equilibrium Expt Initial Conc H2 1 2.40 x 10-2 1.38 x 10-2 0 H2(g) + I2(g) ↔ 2HI(g) Initial Conc HI      1 2 HI 1 2 2 H I Initial Conc I2 Kc  c K  46.4 c K  4.00 c Q      1 2 HI 1 2 2 H I Initial conc of H2 , I2 and HI Qc   2.52 10  2 2       46.4 2 1 2 1 1.14 10 0.12 10       Expt Initial Conc H2 Initial Conc I2 Initial Conc HI 1 0.0500 0.0500 0.100 Expt Equilibrium Conc H2 Equilibrium Conc I2 Equilibrium Conc HI 1 1.14 x 10-2 0.12 x 10-2 2.52 x 10-2 At equilibrium conc Not at equilibrium H2(g) + I2(g) ↔ 2HI(g)      4.00 0.100 2   c Q 0.050 0.050
  • 20. Kc and Qc Expt Initial Conc H2 1 2.40 x 10-2 1.38 x 10-2 0 H2(g) + I2(g) ↔ 2HI(g) 2 2   c K  46.4 c K 2 1 2 1   c Q c K 2.52 10 0.100 2 Constant at fixed Temp Initial Conc HI      1 2 HI 1 2 2 H I Initial Conc I2 Kc  At equilibrium Independent of initial conc Initial conc of H2 , I2 and HI  4.00 c Q      1 2 HI 1 2 2 H I Initial conc of H2 , I2 and HI Qc        46.4 1.14 10 0.12 10       Expt Initial Conc H2 Initial Conc I2 Initial Conc HI 1 0.0500 0.0500 0.100 Expt Equilibrium Conc H2 Equilibrium Conc I2 Equilibrium Conc HI 1 1.14 x 10-2 0.12 x 10-2 2.52 x 10-2 At equilibrium conc Not at equilibrium H2(g) + I2(g) ↔ 2HI(g)      4.00 0.050 0.050 Difference between Predict the direction of rxn c Q Conc of product/reactant at equilibruimconc Reaction quotient at particular time Not at equilibrium conc Varies NOT constant
  • 21. Kc and Qc H2(g) + I2(g) ↔ 2HI(g)      1 2 HI 1 2 2 H I Kc   2.52 10  2 2   c K  46.4 c K     46.4 2 1 2 1 1.14 10 0.12 10       At equilibrium conc c c Q  K c c Q  K c c Q  K Reaction at Initial conc of H2 , I2 and HI Expt Initial equilibrium Conc H2 Initial Conc I2 Initial Conc HI 1 0.0500 0.0500 0.100 Initial conc of H2 , I2 and HI Expt Initial Conc H2 Initial Conc I2 Initial Conc HI 1 0.0250 0.0350 0.300
  • 22. Kc and Qc H2(g) + I2(g) ↔ 2HI(g)      1 2 HI 1 2 2 H I Kc   2.52 10  2 2   c K  46.4 c K     46.4 2 1 2 1 1.14 10 0.12 10       At equilibrium conc c c Q  K c c Q  K c c Q  K Reaction at equilibrium Initial conc of H2 , I2 and HI Qc      c Q More product > reactant → HI 0.300 2 Rxn shift left more reactant c c Q  K  c Q Bring Qc down Initial conc of H2 , I2 and HI 0.100 2   c Q More reactant > product HI Rxn shift right → more product Bring Qc up  c Q c c Q  K  c Q Expt Initial Conc H2 Initial Conc I2 Initial Conc HI 1 0.0500 0.0500 0.100      1 2 1 2 2 H I Qc       4.00 0.050 0.050  c Q Expt Initial Conc H2 Initial Conc I2 Initial Conc HI 1 0.0250 0.0350 0.300      1 2 1 2 2 H I    103 0.0250 0.0350 Click here to view notes
  • 23. Kc from reaction stoichiometry 4 diff initial conc of H2 , I2 and HI At equilibrium Kc = 46.4 ( 730K) H2(g) + I2(g) ↔ 2HI(g) 2.52 10 2 2   2 1 2 1 K  same  46.4 c      1 2 HI 1 2 2 H I Kc        46.4 1.14 10 0.12 10       c Rxn 1 K same Rxn 2, 3, 4 diff initial conc H2(g) + I2(g) ↔ 2HI(g)      1 2 HI 1 2 2 H I Kc 
  • 24. Kc from reaction stoichiometry 4 diff initial conc of H2 , I2 and HI At equilibrium Kc = 46.4 ( 730K) H2(g) + I2(g) ↔ 2HI(g) 2.52 10 2 2   2 1 2 1 K  same  46.4 c      1 2 HI 1 2 2 H I Kc        46.4 1.14 10 0.12 10       c Rxn 1 K same Rxn 2, 3, 4 diff initial conc more products H2(g) + I2(g) ↔ 2HI(g)  c Q HI Rxn shift to right more reactants Rxn shift to left  product  reac t Qc tan   product  reac t Qc tan   c Q      1 2 1 2 2 H I Kc 
  • 25. Kc from reaction stoichiometry 4 diff initial conc of H2 , I2 and HI At equilibrium Kc = 46.4 ( 730K) H2(g) + I2(g) ↔ 2HI(g) 2.52 10 2 2   2 1 2 1 K  same  46.4 c      1 2 HI 1 2 2 H I Kc        46.4 1.14 10 0.12 10       c Rxn 1 K same   2    1 2 HI 1 H I 2 Kc  Qc = Kc - rxn at equilibrium, no side/shift occur Qc < Kc – rxn shift right, favour product Qc > Kc – rxn shift left, favour reactant Rxn 2, 3, 4 diff initial conc more products H2(g) + I2(g) ↔ 2HI(g)  c Q Rxn shift to right more reactants Rxn shift to left  product  reac t Qc tan   product  reac t Qc tan   c Q c c Q  K c c Q  K c c Q  K
  • 26. Kc and Qc H2(g) + I2(g) ↔ 2HI(g)      1 2 HI 1 2 2 H I Kc  2.52 10 2 2   c K  46.4 c K 2 1 2 1  4.00 c Q      1 2 HI 1 2 2 H I Initial conc of H2 , I2 and HI Qc        46.4 1.14 10 0.12 10       Expt Initial Conc H2 Initial Conc I2 Initial Conc HI 1 0.0500 0.0500 0.100 At equilibrium conc Not at equilibrium H2(g) + I2(g) ↔ 2HI(g)      4.00 0.100 2   c Q 0.050 0.050 c c Q  K c c Q  K Reaction at equilibrium  4.00 c Q  46.4 c < K More reactant > product Rxn shift right → more product Bring Qc up  c Q  c Q c c Q  K
  • 27. Kc and Qc H2(g) + I2(g) ↔ 2HI(g)      1 2 HI 1 2 2 H I Kc  c K  46.4 c K  103 c Q      1 2 HI 1 2 2 H I Qc   2.52 10  2 2       46.4 2 1 2 1 1.14 10 0.12 10       Initial conc of H2 , I2 and HI At equilibrium conc Not at equilibrium H2(g) + I2(g) ↔ 2HI(g)   c Q c c Q  K c c Q  K Reaction at equilibrium 0.300 2 More product > reactant → Rxn shift left more reactant c c Q  K  c Q Bring Qc down  c Q Expt Initial Conc H2 Initial Conc I2 Initial Conc HI 1 0.0250 0.0350 0.300      103 0.0250 0.0350  103 c Q  46.4 c > K
  • 28. How dynamic equilibrium is shifted when H2 is added ? N2(g) + 3H2(g) ↔ 2NH3(g) 07. 4  c K At equilibrium Conc reactant/product no change Equilibrium Conc H2 = 0.82M Equilibrium Conc N2 = 0.20M Equilibrium Conc NH3 = 0.67M      3 2 NH 1 2 2 3 N H Kc    2 0.67  0.20  1  0.82 3  c K  4.07 c K
  • 29. How dynamic equilibrium is shifted when H2 is added ? N2(g) + 3H2(g) ↔ 2NH3(g) 07. 4  c K Equilibrium disturbed H2 added. More reactant At equilibrium Conc reactant/product no change NH 0.67  2.24 c Q Equilibrium Conc H2 = 0.82M Equilibrium Conc N2 = 0.20M Equilibrium Conc NH3 = 0.67M      3 2 NH 1 2 2 3 N H Kc    2 0.67  0.20  1  0.82 3  c K New Conc H2 = 1.00M Conc N2 = 0.20M Conc NH3 = 0.67M      3 2 1 2 2 3 N H Qc    2  0.20  1  1.00 3  c Q  4.07 c K
  • 30. How dynamic equilibrium is shifted when H2 is added ? N2(g) + 3H2(g) ↔ 2NH3(g) 07. 4  c K Equilibrium disturbed H2 added. More reactant At equilibrium Conc reactant/product no change At new equilibrium Conc reactant/product no change NH 0.67  2.24 c Q Equilibrium Conc H2 = 0.82M Equilibrium Conc N2 = 0.20M Equilibrium Conc NH3 = 0.67M      3 2 NH 1 2 2 3 N H Kc    2 0.67  0.20  1  0.82 3  c K New Conc H2 = 1.00M Conc N2 = 0.20M Conc NH3 = 0.67M      3 2 1 2 2 3 N H Qc    2  0.20  1  1.00 3  c Q  4.07 c K New Equilibrium Conc H2 = 0.90M New Equilibrium Conc N2 = 0.19M New Equilibrium Conc NH3 = 0.75M NH   2 0.75  0.19  1  0.90 3  c K      3 2 1 2 2 3 N H Kc   4.07 c K
  • 31. How dynamic equilibrium is shifted when H2 is added ? • Add H2 , Qc decrease • Position equilibrium shift to right • Rate forward and reverse increase • New equilibrium conc achieved when Rate forward Kf = Rate reverse Kr • More product NH3 ,but Kc unchanged N2(g) + 3H2(g) ↔ 2NH3(g) 07. 4  c K Equilibrium disturbed H2 added. More reactant At equilibrium Conc reactant/product no change At new equilibrium Conc reactant/product no change NH 0.67  2.24 c Q Equilibrium Conc H2 = 0.82M Equilibrium Conc N2 = 0.20M Equilibrium Conc NH3 = 0.67M      3 2 NH 1 2 2 3 N H Kc    2 0.67  0.20  1  0.82 3  c K New Conc H2 = 1.00M Conc N2 = 0.20M Conc NH3 = 0.67M      3 2 1 2 2 3 N H Qc    2  0.20  1  1.00 3  c Q  4.07 c K New Equilibrium Conc H2 = 0.90M New Equilibrium Conc N2 = 0.19M New Equilibrium Conc NH3 = 0.75M NH   2 0.75  0.19  1  0.90 3  c K      3 2 1 2 2 3 N H Kc   4.07 c K c c Q  K Shift to the right - Increase product - New Conc achieve - Qc = Kc again
  • 32. How dynamic equilibrium is shifted when H2 is added ? • Add H2 , Qc decrease • Position equilibrium shift to right • Rate forward and reverse increase • New equilibrium conc achieved when Rate forward Kf = Rate reverse Kr • More product NH3 ,but Kc unchanged At equilibrium Conc reactant/product no change c c Q  K Rate forward Kf = Rate reverse Kr N2(g) + 3H2(g) ↔ 2NH3(g) 07. 4  c K   4.07 c c Q K c c Q  K
  • 33. How dynamic equilibrium is shifted when H2 is added ? • Add H2 , Qc decrease • Position equilibrium shift to right • Rate forward and reverse increase • New equilibrium conc achieved when Rate forward Kf = Rate reverse Kr • More product NH3 ,but Kc unchanged Rate forward Kf = Rate reverse Kr N2(g) + 3H2(g) ↔ 2NH3(g) 07. 4  c K   4.07 c c Q K Equilibrium disturbed H2 added. More reactant c c Q  K Equilibrium shift to right  c Q Rate forward Kf > Rate reverse Kr At equilibrium Conc reactant/product no change c c Q  K c c Q  K
  • 34. How dynamic equilibrium is shifted when H2 is added ? • Add H2 , Qc decrease • Position equilibrium shift to right • Rate forward and reverse increase • New equilibrium conc achieved when Rate forward Kf = Rate reverse Kr • More product NH3 ,but Kc unchanged Rate forward Kf = Rate reverse Kr N2(g) + 3H2(g) ↔ 2NH3(g) 07. 4  c K   4.07 c c Q K Equilibrium disturbed H2 added. More reactant c c Q  K Equilibrium shift to right  c Q Rate forward Kf > Rate reverse Kr At equilibrium Conc reactant/product no change At new equilibrium Conc reactant/product no change Qc increase until Qc = Kc  c Q Rate forward Kf = Rate reverse Kr c c Q  K c c Q  K c c Q  K
  • 35. Click here simulation using paper clips Click here to view simulation Click here simulation on reversible rxn Click here on reversible rxn Simulation on Dynamic equilibrium Click here on equilibrium constant
  • 36. Acknowledgements Thanks to source of pictures and video used in this presentation Thanks to Creative Commons for excellent contribution on licenses http://creativecommons.org/licenses/ Prepared by Lawrence Kok Check out more video tutorials from my site and hope you enjoy this tutorial http://lawrencekok.blogspot.com