Topic 11 - Equilibrium II Flashcards
What is the equation for Kc?
For aA + bB -> dD + eE
Kc = [D]^d x [E]^e / [A]^a x [B]^b
In general, how could the equation for Kc be expressed?
The ratio of product concentration to reactant concentration.
When does the Kc equation apply?
At equilibrium.
What do you need to know to work out Kc?
The molar concentration of each substance at equilibrium.
What are the conditions for a Kc value?
- Quoted at a certain temperature
* Molar concentrations are at equilibrium
Is Kc for a reaction the same at any temperature?
No, it is quoted at a certain temperature.
What is the equation for Kc for this reaction:
H2(g) + I2(g) -> 2HI(g)
Kc = [HI]² / [H2] x [I2]
What chemicals are included in a Kc equation?
It depends on whether the reaction is in homogeneous or heterogeneous equilibrium.
What is a homogeneous equilibrium?
One where all the products and reactants are in the same phase.
What is a heterogeneous equilibrium?
One where the products and/or reactants are not all in the same phase.
What is included in the Kc equation for a homogeneous equilibrium?
Everything.
What is included in the Kc equation for a heterogeneous equilibrium?
Everything except solids and pure liquids.
Why are solids and pure liquids not included in the equation for Kc in a heterogeneous equilibrium?
Their concentrations stay constant throughout the reaction.
Describe how you work out Kc when given the molar quantities before the reaction and at equilibrium.
1) Work out the number of moles of each product and reactant at equilibrium (by looking at the ratios in the equation).
2) Work out the concentration of each (usually by looking at the volume of the container).
3) Choose the appropriate chemicals and put their concentrations into the Kc equation.
4) Find the units of Kc and quote.
How can you work out the units for Kc?
Divide the units of everything on top of the Kc equation by everything on the bottom.
0.20 moles of phosphorus(V) chloride decomposes at 600K in a vessel of 5.00dm³. The equilibrium mixture is found to contain 0.080 moles of chlorine. Write the expression for Kc and calculate its value including units.
PCl5(g) -> PCl3(g) + Cl2(g)
- The equation tells you that when 1 mole of PCl5 decomposes, 1 mole of PCl3 and 1 mole of Cl2 are formed. So if 0.080 moles of chlorine are produced at equilibrium, then there will be 0.080 moles of PCl3 as well. 0.080 moles of PCl5 must have decomposed, so there will be (0.20 - 0.080 =) 0.12 moles left
- [PCl3] = [Cl2] = 0.08 / 5.00 = 0.016 mol/dm³
- [PCl5] = 0.12 / 5.00 = 0.024 mol/dm³
- Kc = [PCl3][Cl2] / [PCl5] = 0.016 x 0.016 / 0.024 = 0.011
- Units = (mol/dm³)² / mol/dm³ = mol/dm³
- So Kc = 0.011 mol/dm³
Is Kc for a reaction the same at any temperature?
No, it is quoted at a given temperature.
What is Kc shorthand for?
- Equilibrium constant
- It is not the only equilibrium constant though, so it is best thought of as the “equilibrium constant in terms of concentrations”
Describe how you work out the concentration of a reactant or product in an equilibrium when you are given Kc and the concentrations of the other reactants.
1) Write the equation for Kc.
2) Plug in the value for Kc and all the concentrations.
3) Rearrange to give the necessary concentration.
When the reaction between ethanoic acid and ethanol was allowed to reach equilibrium at 25C, it was found that the equilibrium mixture contained 2.0 mol/dm³ ethanoic acid and 3.5 mol/dm³ ethanol. Kc of the equilibrium is 4.0 at 25C. What are the concentrations of the other components?
CH3COOH(l) + C2H5OH(l) -> CH3COOC2H(l) + H2O (l)
- Kc = [CH3COOC2H][H2O] / [CH3COOH][C2H5OH]
- 4.0 = [CH3COOC2H][H2O] / (2.0 x 3.5)
- 28.0 = [CH3COOC2H][H2O]
- Since [CH3COOC2H] = [H2O], [CH3COOC2H] and [H2O] = sqrt(28) = 5.3 mol/dm³
Describe how you could work out Kc at 298K for this reaction:
Fe2+(aq) + Ag+(aq) -> Fe3+(aq) + Ag(s)
1) Leave a mixture of iron(II) sulfate solution and silver nitrate solution in a stoppered flask at 298K.
2) Take samples from the equilibrium mixture and titrate them.
3) Using this, work out the equilibrium concentration of Fe2+ ions.
4) From this, work out concentrations of the other components, and so Kc.
500cm³ of 0.100 mol/dm³ iron(II) sulfate solution and 500cm³ of 0.100 mol/dm³ silver nitrate solution are placed in a stoppered flask and allowed to reach equilibrium. It’s found that the equilibrium concentration of Fe2+ is 0.0439 mol/dm³ under s.t.p. Calculate Kc for this reaction at s.t.p.
Fe2+(aq) + Ag+(aq) -> Fe3+(aq) + Ag(s)
- The equation tells us that 1 mole of Fe2+ reacts with 1 mole of Ag+ to form 1 mole of Fe3+ and 1 mole of Ag.
- The silver formed is solid, so you don’t need to include it in the expression for Kc.
- Starting concentrations of Ag+ and Fe2+ are the same and equal to 0.500 mol/dm³.
- The equilibrium concentration of Ag+ will be the same as Fe2+, i.e. 0.0439 mol/dm3.
- The equilibrium concentration of Fe3+ will be 0.0500 - 0.0439 = 0.0061 mol/dm³
- Kc = [Fe3+] / [Fe2+][Ag+] = 0.0061 / (0.0439 x 0.0439) = 3.17
- Units = mol/dm³ / (mol/dm³ x mol/dm³) = mol^-1 dm³
- So at s.t.p., Kc = 3.17 mol^-1 dm³
What is the partial pressure of a gas?
The pressure that a gas in a mixture would exert if it were on its own.
How are the total pressure and partial pressures related?
The total pressure is the sum of all the partial pressures of the individual gases.