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Gaseous Chemical Equilibrium Chapter 12
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2HI(g) H2(g) + I2(g) If pure HI(g) is placed in a sealed container at 52 C, H2(g) and I2(g) are formed. Then the reverse reaction can occur forming HI(g) The partial pressure of HI(g) drops, slowing the forward reaction, all the while, the partial pressures of H2(g) and I2(g) increase; increasing the rate of the reverse reaction
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Soon the forward and reverse rates become equal and a dynamic equilibrium is established.
At equilibrium appreciable amounts of all gases are present. At equilibrium the partial pressures of all gases remain constant.
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Note: P HI = -2 P H2 = -2 P I2 2HI(g) H2(g) + I2(g) Po(atm) 0.200
0.000 P(atm) Peq(atm) 0.160 0.020 Note: P HI = P H2 = -2 P I2
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Equilibrium constant Kp
Depends only on temperature Is independent of: Original pressures Total pressure Volume
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Equilibrium expression
Only gaseous and aqueous species allowed Products numerator Reactants denominator Gases enter as pressures (atm) Aqueous enter as concentrations [M] Adding or removing a solid or liquid does NOT affect the position of the equilibrium
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2 HI H2 + I2 (g) (g) (g) ( ) ( ) = Kp Equilibrium expression ( )
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Try: Remember: solids and liquids do not appear in equilibrium expressions The pressure of CO2 will be the same regardless of how much CaO or CaCO3 is present
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Try:
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2HI(g) H2(g) + I2(g) Po(atm) 0.200 0.000 P(atm) Peq(atm) 0.160 0.020
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For the reverse rxn for
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If Eqn 3 = Eqn 1+ Eqn 2 then K3 = K1 x K2
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Applications of K If K is large If K is small Equilibrium moves
Product formation is favored If K is small Reactant formation is favored
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Determining the direction of a reaction
Compare the actual pressure quotient, Q, to K. If Q < K the forward reaction occurs to make Q larger If Q > K the reverse reaction occurs to make Q smaller If Q = K system is at equilibrium nothing happens
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K = 0.016 Predict the direction of the reaction if HI = I2 = H2 = 0.10 atm Q > K reaction shifts
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What is the pressure of all the gases at equilibrium when 0
What is the pressure of all the gases at equilibrium when atm of pure HI is allowed to react? 2HI(g) H2(g) + I2(g) K = 0.016 Po 0.100 atm 0.000 atm P -2X +X Peq X X
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What are the partial pressure of N2O4 and NO2 when 0
What are the partial pressure of N2O4 and NO2 when atm of N2O4 is allowed to come to equilibrium? N2O4(g) 2NO2(g) K = 11 Po 0.100 atm 0.000 atm P - X + 2X Peq X 2X Quadratic equation X = 0.097; NO2 = 0.194atm; N2O4 = 0.003atm
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Le Chatelier’s Principle
If a system at equilibrium is subjected to stress, the reaction occurs in a direction so as to partially relieve the stress.
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2HI(g) H2(g) + I2(g) If H2 is added Reaction shifts
P HI is greater than before disturbance P I2 is less P H2 is intermediate between original equilibrium value and that immediately after disturbance
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2HI(g) H2(g) + I2(g) If H2 is removed reaction shifts
Some HI decomposes to bring P H2 back part way to its equilibrium value P I2 is increased P HI decrease
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Increasing the volume Immediate effect is to lower the concentration of molecules To counteract this, reaction occurs in which increases the number of molecules of gas
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Expansion ( V; P) Contraction ( V; P) N2O4(g) 2NO2(g)
N2(g) + 3H2(g) NH3(g) H2(g) + I2(g) HI(g) No effect No effect
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Changes in temperature
Endothermic process is favored by increased Temperature Temperature change is the only change that affects the value of K If forward reaction is endothermic: K as T If forward reaction is exothermic: K as T van’t Hoff equation
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H T N2O4(g) NO2(g) +58.2 kJ N2(g) + 3H2(g) NH3(g) - 924 kJ
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