← Unit 4: Chemical Systems and Equilibrium
SCH4U · Unit 4 test review
Chemical Systems and Equilibrium: Test Review
Everything for the Unit 4 test on one page: the key facts from all 6 lessons, the mistakes that cost the most marks, and a practice test that points you back to the lessons you need.
Key facts
Dynamic Equilibrium and the Equilibrium Constant
- At dynamic equilibrium, forward rate = reverse rate, so concentrations stay constant while both reactions continue.
- For : Pure solids and pure liquids are left out.
- means mostly products at equilibrium; means mostly reactants. Only temperature changes K.
- Reversing a reaction inverts K (); multiplying coefficients by gives .
- ICE table: Initial + Change = Equilibrium, with the Change row in the same ratio as the coefficients.
Le Chatelier's Principle and the Reaction Quotient
- Reaction quotient Q has the same form as K but uses current concentrations.
- : shifts right (toward products). : shifts left (toward reactants). : at equilibrium.
- Le Chatelier's principle: a system at equilibrium shifts to partly counteract any change imposed on it.
- Decreasing volume shifts a gas equilibrium toward fewer moles of gas; a catalyst or an inert gas at constant volume causes no shift.
- Only temperature changes K: raising temperature lowers K for an exothermic reaction and raises K for an endothermic one.
Acid-Base Equilibria
- Brønsted-Lowry: an acid donates , a base accepts ; conjugate pairs differ by one .
- and at 25 °C.
- , .
- Weak acid: if percent ionization .
- For a conjugate pair: .
Solubility Equilibria, Buffers and Titration
- AB salt: . AB2 salt: .
- : a precipitate forms. : no precipitate. Use concentrations after mixing.
- Common ion effect: an ion already in solution lowers the solubility of a salt containing that ion.
- Buffer: weak acid + conjugate base; , and pH = pKa at half-equivalence.
- Equivalence pH: strong-strong = 7, weak acid-strong base > 7, strong acid-weak base < 7.
Equilibrium at Work: Industry, Body and Environment
- Contact process: , kJ; about 400–450 °C, catalyst, excess air, 1–2 atm; a rate-versus-yield compromise.
- Kidney stones form when for calcium oxalate in urine; dilution, less oxalate and citrate lower Q.
- CO binds hemoglobin about 200 times more strongly than ; high shifts to the left.
- Heavy metals are removed by precipitating hydroxides or (more completely) sulfides with very small Ksp values.
- Heating hard water drives off and precipitates scale.
- Ocean acidification: extra converts to , lowering Q for and making shells harder to build.
Measuring K in the Lab
- Beer's law: ; a calibration curve of A against c for standards has slope .
- FeSCN²⁺ standards use a large excess of so nearly all is converted; test mixtures plus an ICE table give K.
- Ksp of : titrate filtered saturated solution with HCl; and .
- Ka from pH: , ; at half-equivalence .
- Cobalt chloride: pink [\text{Co{(H}_2\text{O)}}_6]^{2+} ⇌ blue ; added or heat turns it blue (forward reaction endothermic).
- Percent error ; look for the direction of systematic errors.
Where marks get lost
- Thinking equilibrium means equal concentrations of reactants and products. It means equal forward and reverse rates. (Dynamic Equilibrium and the Equilibrium Constant)
- Forgetting to raise concentrations to their coefficients, e.g. writing instead of . (Dynamic Equilibrium and the Equilibrium Constant)
- Including a pure solid or liquid, such as or , in the K expression. (Dynamic Equilibrium and the Equilibrium Constant)
- Putting moles instead of mol/L into an ICE table, or using initial concentrations in the K expression instead of equilibrium ones. (Dynamic Equilibrium and the Equilibrium Constant)
- Writing the Change row as for every species instead of scaling by the coefficients (, , ). (Dynamic Equilibrium and the Equilibrium Constant)
- Reversing the Q rule: when the reaction shifts right (toward products), not left. (Le Chatelier's Principle and the Reaction Quotient)
- Saying a catalyst increases the yield at equilibrium. It only makes the system reach equilibrium faster. (Le Chatelier's Principle and the Reaction Quotient)
- Claiming that adding more reactant changes K. Only a temperature change alters K; concentration changes alter Q. (Le Chatelier's Principle and the Reaction Quotient)
- Counting all moles, including solids and liquids, when predicting a pressure change. Only moles of gas matter. (Le Chatelier's Principle and the Reaction Quotient)
- Assuming a shift completely undoes a stress. The system only partly counteracts it, so an added reactant stays higher than its original value. (Le Chatelier's Principle and the Reaction Quotient)
- Using as for a weak base. That value is ; you must find pOH first and then pH. (Acid-Base Equilibria)
- Treating a weak acid like a strong acid by setting equal to the initial acid concentration. (Acid-Base Equilibria)
- Using the small- approximation without checking that percent ionization is below 5%. (Acid-Base Equilibria)
- Confusing strong with concentrated: strength is the fraction ionized, concentration is the amount dissolved per litre. (Acid-Base Equilibria)
- Writing a conjugate base by removing a hydrogen atom from the wrong place or forgetting to lower the charge by one, e.g. writing as the conjugate base of . (Acid-Base Equilibria)
- Writing for an AB2 salt. The term is , so . (Solubility Equilibria, Buffers and Titration)
- Calculating Q for precipitation with the concentrations before mixing instead of after dilution. (Solubility Equilibria, Buffers and Titration)
- Assuming every titration has its equivalence point at pH 7. That is only true for a strong acid with a strong base. (Solubility Equilibria, Buffers and Titration)
- Comparing Ksp values directly for salts that release different numbers of ions. (Solubility Equilibria, Buffers and Titration)
- Thinking a buffer keeps pH perfectly constant or works for any amount of added acid. It resists small changes, and it fails once one component is used up. (Solubility Equilibria, Buffers and Titration)
- Saying the contact process uses 450 °C because it gives the highest yield. Low temperature gives the highest yield for this exothermic reaction; 450 °C is chosen for rate, with a catalyst. (Equilibrium at Work: Industry, Body and Environment)
- Thinking the catalyst increases the amount of at equilibrium. only speeds up reaching equilibrium. (Equilibrium at Work: Industry, Body and Environment)
- Comparing Q with Ksp using concentrations before dilution or mixing. Always use the concentrations actually present. (Equilibrium at Work: Industry, Body and Environment)
- Saying CO poisoning is treated by removing CO from the blood directly. Treatment raises , which shifts the hemoglobin equilibrium to release CO. (Equilibrium at Work: Industry, Body and Environment)
- Thinking ocean acidification means the ocean has become acidic. Its pH is still above 7; it has become less basic, and the lower carbonate ion concentration is what harms shell builders. (Equilibrium at Work: Industry, Body and Environment)
- Forgetting to account for dilution when two solutions are mixed. Initial concentrations in the ICE table are the values after mixing. (Measuring K in the Lab)
- Assuming the equilibrium concentration of FeSCN²⁺ in a test mixture equals the SCN⁻ added. That assumption is only valid for standards made with a large excess of Fe³⁺. (Measuring K in the Lab)
- Using for calcium hydroxide. Each formula unit releases two , so is half of . (Measuring K in the Lab)
- Titrating an unfiltered saturated solution. Suspended solid dissolves as acid is added, so too much acid is used and Ksp comes out too high. (Measuring K in the Lab)
- Reporting K with more significant figures than the data allow, especially from a pH reading, which gives only as many significant figures as it has decimal places. (Measuring K in the Lab)
Practice test
24 questions from across the unit. Each one shows the lesson it comes from.
- Dynamic Equilibrium and the Equilibrium Constant1Which is the correct equilibrium expression for ?
- Dynamic Equilibrium and the Equilibrium Constant2for at a certain temperature. What is K for at the same temperature? Give 3 significant figures.
- Dynamic Equilibrium and the Equilibrium Constant3For at equilibrium, and . Calculate to 2 significant figures.
- Dynamic Equilibrium and the Equilibrium Constant4Besides pure solids, which other state of matter is left out of an equilibrium constant expression when it is a pure substance?
- Le Chatelier's Principle and the Reaction Quotient5For . A mixture has , and . What happens?
- Le Chatelier's Principle and the Reaction Quotient6For an endothermic reaction at equilibrium, what happens to K when the temperature is increased?
- Le Chatelier's Principle and the Reaction Quotient7Put the steps for predicting a shift with the reaction quotient in order.
- 1Substitute the current concentrations to get Q
- 2Conclude the direction of the shift
- 3Compare Q with K
- 4Write the expression from the balanced equation
- Le Chatelier's Principle and the Reaction Quotient8What happens to the value of K when a catalyst is added to a system at equilibrium? (one or two words)
- Acid-Base Equilibria9In which species is the conjugate base of ?
- Acid-Base Equilibria10Calculate the pH of acetic acid (), to 2 decimal places.
- Acid-Base Equilibria11Two acids have the same concentration. Acid X has and acid Y has . Which statement is correct?
- Acid-Base Equilibria12What is the name for a substance, such as water, that can act as either a Brønsted-Lowry acid or a Brønsted-Lowry base?
- Solubility Equilibria, Buffers and Titration13A slightly soluble salt AB has a molar solubility of . Calculate its Ksp (2 significant figures, for example 3.4e-10).
- Solubility Equilibria, Buffers and Titration14Equal volumes of and NaCl are mixed. With , what happens?
- Solubility Equilibria, Buffers and Titration15Which titration has an equivalence point below pH 7?
- Solubility Equilibria, Buffers and Titration16Match each term to its description.BufferCommon ion effectEquivalence pointEndpoint
- Equilibrium at Work: Industry, Body and Environment17Why is the contact process run at about 450 °C even though the oxidation of SO₂ is exothermic?
- Equilibrium at Work: Industry, Body and Environment18Surface ocean pH has fallen from 8.2 to 8.1. By what percentage has increased? (whole number)%
- Equilibrium at Work: Industry, Body and Environment19Put the steps of the contact process in order.
- 1Pass SO₂ and excess air over V₂O₅ at about 450 °C to make SO₃
- 2Dilute the product with water to the required concentration
- 3Absorb SO₃ in concentrated sulfuric acid
- 4Burn sulfur in air to make SO₂
- Equilibrium at Work: Industry, Body and Environment20Which ion's concentration falls in seawater as it absorbs CO₂, making it harder for corals and shellfish to build calcium carbonate? (name or formula)
- Measuring K in the Lab21A FeSCN²⁺ solution has an absorbance of 0.230 in a 1.00 cm cuvette, and L/(mol·cm). What is its concentration, in units of mol/L? (2 decimal places)× 10⁻⁵ mol/L
- Measuring K in the Lab22A 0.200 mol/L solution of a weak acid HA has a pH of 2.70. Calculate Ka, in units of . (1 decimal place)× 10⁻⁵
- Measuring K in the Lab23A test tube of the cobalt chloride equilibrium is pink at room temperature. It is placed in hot water and turns blue. What does this show?
- Measuring K in the Lab24What is the name of the law ?
Endless drill
Fresh numbers every time, for the calculation questions in this unit.
Endless drillnew numbers every time
Generating a problem…