D. Energy Changes and Rates of Reaction · Energy Changes and Rates of ReactionCatalysts and Enzymes
D3.5 D3.6 D2.1 A2.2About 70 minutes
Learning goals- I can explain, using a potential energy diagram, how a catalyst increases the rate of a reaction.
- I can distinguish homogeneous and heterogeneous catalysts and describe how a surface catalyst works.
- I can describe how enzymes work, including the active site, specificity, optimum conditions and denaturation.
- I can identify a catalyst in a series of reaction steps.
Words to know
catalyst
A substance that increases the rate of a reaction by providing a pathway with lower activation energy, and is regenerated at the end.
homogeneous catalyst
A catalyst in the same phase as the reactants.
heterogeneous catalyst
A catalyst in a different phase from the reactants, usually a solid surface.
enzyme
A protein that acts as a catalyst in living things.
active site
The region of an enzyme where the substrate binds and reacts.
substrate
The reactant molecule that an enzyme acts on.
denaturation
A change in a protein's folded shape (from heat, pH or chemicals) that destroys its activity.
The helpers that are never used up
Your saliva starts digesting the starch in a piece of bread within seconds, at body temperature. Without help, starch and water would take an extremely long time to react. The helper is an enzyme called amylase. Car exhaust passes over a few grams of platinum, palladium and rhodium and comes out cleaner; ammonia for fertilizer is made over an iron catalyst. Catalysts speed up reactions without being used up, and they make possible a large share of the chemical industry and every process in your cells.
How a catalyst works
A catalyst is a substance that increases the rate of a reaction without being consumed. It works by providing an alternative reaction pathway (a different mechanism) with a lower activation energy.
- With a lower barrier, a much larger fraction of collisions have enough energy to react at the same temperature, so the rate increases.
- The catalyst takes part in the reaction, but it is regenerated at the end, so it is not used up and does not appear in the overall equation (it is often written above the arrow).
- A catalyst does not change ΔH: the reactants and products have the same energies with or without it.
- It lowers the barrier for the reverse reaction by the same amount, so it speeds up both directions. It helps a reaction reach equilibrium sooner but does not change the position of equilibrium (see the Chemical Equilibrium unit).
A catalyst provides a different pathway, often with more than one step, whose highest barrier is lower than the uncatalysed one. The reactants, the products and ΔH are unchanged. (A sketch, not to scale.)Homogeneous and heterogeneous catalysts
Homogeneous catalysts are in the same phase as the reactants, usually dissolved in the same solution or mixed in the same gas.
- Iodide ions catalyse the decomposition of hydrogen peroxide in solution: 2H₂O₂(aq) → 2H₂O(l) + O₂(g).
- Chlorine atoms from CFCs catalyse the destruction of ozone in the stratosphere, which is why CFCs were phased out under the Montreal Protocol.
Heterogeneous catalysts are in a different phase, usually a solid with gas or liquid reactants. Reactions happen on the solid's surface in four stages: reactant molecules adsorb (stick) to the surface, their bonds weaken, new bonds form, and products desorb (leave).
- Platinum, palladium and rhodium in catalytic converters.
- Iron in the Haber–Bosch process for ammonia.
- Nickel in the hydrogenation of vegetable oils to make margarine-type fats.
Heterogeneous catalysts are often used as fine powders or thin coatings on honeycomb supports, to give a huge surface area. They can be poisoned by substances that bind strongly to the surface and block it: lead from leaded gasoline ruined catalytic converters, which is one reason Canada banned leaded gasoline for cars (in 1990).
Heterogeneous catalysis: hydrogenating ethene on a metal surface. The H–H bond breaks as hydrogen adsorbs, the hydrogen atoms add to the carbon atoms, and ethane leaves the surface, which is ready to be used again.Enzymes: biological catalysts
Enzymes are protein molecules (made of folded chains of amino acids) that catalyse the reactions in living things. Each enzyme has an active site, a pocket whose shape and chemical groups fit a particular reactant, called the substrate.
- The substrate binds to the active site, forming an enzyme-substrate complex. In the induced-fit model, the active site changes shape slightly to grip the substrate (an improvement on the older lock-and-key model).
- The grip strains the substrate's bonds and holds groups in the right orientation, lowering the activation energy.
- The products are released, and the enzyme is ready for another substrate molecule.
Enzymes are remarkably specific and fast. Catalase, the enzyme in potatoes and liver that decomposes hydrogen peroxide (you met it as an example of a catalyst in SCH3U), is one of the fastest enzymes known: one molecule can break down millions of H₂O₂ molecules every second.
Each enzyme works best at an optimum temperature (about 37 °C for most human enzymes) and optimum pH. Too much heat or the wrong pH changes the protein's shape (denaturation), and the active site no longer fits, which is why cooked potato barely makes hydrogen peroxide foam.
An enzyme at work: the substrate (S) binds to the active site, the enzyme-substrate complex strains the substrate's bonds, the products (P) form and are released, and the enzyme is unchanged.A Canadian contribution: enzyme kinetics
In 1913 the Canadian scientist Maud Menten, working in Berlin with Leonor Michaelis, published a mathematical description of how the rate of an enzyme-catalysed reaction depends on the concentration of substrate. The Michaelis–Menten equation shows that at low substrate concentration the rate increases almost in proportion to [S], but at high [S] it levels off: every enzyme molecule is busy, so adding more substrate cannot make it go faster (the enzyme is saturated). Biochemists and drug designers still use this equation. Menten later had a long career as a medical researcher and professor at the University of Pittsburgh.
Worked exampleExample 1: Reading a catalysed diagram
Uncatalysed: reactants 60 kJ, peak 180 kJ, products 20 kJ. With a catalyst, the highest peak is 110 kJ. Find Ea (uncatalysed and catalysed), ΔH, and Ea(rev) with the catalyst.
- Uncatalysed Ea = 180 − 60 = 120 kJ.
- Catalysed Ea = 110 − 60 = 50 kJ.
- ΔH = 20 − 60 = −40 kJ (the same with or without the catalyst).
- Catalysed Ea(rev) = 110 − 20 = 90 kJ (it was 160 kJ uncatalysed: lowered by the same 70 kJ).
Ea = 120 kJ uncatalysed, 50 kJ catalysed; ΔH = −40 kJ; catalysed Ea(rev) = 90 kJ.
Worked exampleExample 2: Identifying the catalyst
The decomposition of hydrogen peroxide catalysed by iodide happens in two steps:
Step 1: H₂O₂(aq) + I⁻(aq) → H₂O(l) + IO⁻(aq)
Step 2: H₂O₂(aq) + IO⁻(aq) → H₂O(l) + O₂(g) + I⁻(aq)
Write the overall equation and identify the catalyst.
- Add the steps: 2H₂O₂ + I⁻ + IO⁻ → 2H₂O + O₂ + IO⁻ + I⁻.
- I⁻ and IO⁻ appear on both sides and cancel.
- I⁻ is used in step 1 and regenerated in step 2: it is the catalyst. (IO⁻ is made in step 1 and used up in step 2: it is a reaction intermediate, which you will study in Reaction Mechanisms and Rate Laws.)
2H₂O₂(aq) → 2H₂O(l) + O₂(g), catalysed by I⁻.
Hands-on activityYeast as a catalyst
You need: 3% hydrogen peroxide from a pharmacy, dry active yeast, warm water, three tall clear glasses or jars, a tray or baking dish to catch spills, a teaspoon and tablespoon, dish soap, a ruler, a timer, safety glasses and rubber gloves, and a grown-up. Safety: 3% hydrogen peroxide irritates eyes and skin: wear safety glasses and gloves, and a grown-up pours it. Do not drink anything used. Rinse everything down the sink with lots of water when done.
- Mix 1 tablespoon of yeast with 3 tablespoons of warm water and let it sit 5 minutes. (Yeast contains catalase.)
- In each glass put 60 mL of hydrogen peroxide and a few drops of dish soap (the soap traps the oxygen as foam, so you can see the rate).
- Add ½ teaspoon, 1 teaspoon and 2 teaspoons of the yeast mixture to the three glasses, starting a timer each time.
- Measure the foam height after 30 s and after 2 minutes. Feel the glass (carefully): is it warm?
- (Optional) Boil a little of the yeast mixture first (grown-up), cool it, and test it.
What to look for: more yeast means more catalase and faster foaming, but in the end all glasses produce about the same total oxygen, because the amount of H₂O₂ is the same: the catalyst changes the rate, not the amount of product. The glass warms (the decomposition is exothermic). Boiled yeast barely foams: the enzyme was denatured.
Just for funEnzymes are the ultimate team players: they make everyone else's reaction faster, never get used up, and walk away unchanged. On a group project, that is the person you want.
Your turn
A substance that increases the rate of a reaction without being consumed, by providing a pathway with a lower activation energy.
2Does a catalyst change ΔH? Explain.
No. It does not change the energy of the reactants or products, only the height of the barrier between them.
3Distinguish homogeneous and heterogeneous catalysts with one example of each.
Homogeneous: same phase as reactants (I⁻ in H₂O₂ solution; Cl atoms with ozone gas). Heterogeneous: different phase, usually a solid surface (platinum in a catalytic converter; iron in ammonia synthesis).
4Why are heterogeneous catalysts often made as fine powders or thin coatings?
Reactions happen on the catalyst's surface, so a larger surface area gives more sites for collisions and a faster rate.
5Explain why boiling an enzyme stops it working.
Heat denatures the protein: its folded shape changes, so the active site no longer fits the substrate.
6A reaction has Ea = 95 kJ uncatalysed and 55 kJ with a catalyst. ΔH = −30 kJ. Find Ea(rev) with and without the catalyst.
Without: 95 + 30 = 125 kJ. With: 55 + 30 = 85 kJ (both lowered by 40 kJ).
7What did Maud Menten help to describe?
With Leonor Michaelis (1913), how the rate of an enzyme-catalysed reaction depends on substrate concentration (the Michaelis–Menten equation): it rises and then levels off when the enzyme is saturated.
More practice: warm-up
1What does a catalyst lower?
2What is an enzyme made of?
3What is the part of an enzyme where the substrate binds?
4Name the three metals commonly used in catalytic converters.
Platinum, palladium and rhodium.
5Is a catalyst used up in a reaction?
More practice: on your own
1A catalyst speeds up the forward reaction by lowering Ea(fwd) by 30 kJ. By how much does it lower Ea(rev)? Explain.
Also by 30 kJ: the catalysed pathway has one lower peak, and both directions must pass over it. The reactant and product energies do not change.
2Why does a catalytic converter work poorly for the first few minutes of a cold winter drive?
The catalyst must be hot (several hundred degrees Celsius) to work well. Until it warms up, few collisions on its surface have enough energy even with the lowered Ea, so more CO and unburned fuel escape.
3Explain the levelling-off of the rate of an enzyme reaction at high substrate concentration.
Every enzyme's active site is occupied (the enzyme is saturated), so adding more substrate cannot increase the number of reactions per second; only adding more enzyme would.
4Two steps in the destruction of ozone are Cl + O₃ → ClO + O₂ and ClO + O → Cl + O₂. Write the overall reaction and identify the catalyst and the intermediate.
Overall: O₃ + O → 2O₂. Cl is the catalyst (used, then regenerated); ClO is the intermediate (made, then used). Because Cl is regenerated, one chlorine atom can destroy many thousands of ozone molecules.
5Laundry detergents labelled "cold water" or "bio" contain enzymes such as proteases and amylases. How does this help the environment?
The enzymes catalyse the breakdown of protein and starch stains at low temperature, so clothes can be washed in cold water, saving the energy (and the related emissions) needed to heat water.
Challenge
1Using the Arrhenius idea that the fraction of collisions with enough energy is proportional to e^(−Ea/RT), estimate how many times faster a reaction goes at 25 °C (298 K) if a catalyst lowers Ea from 75 kJ/mol to 55 kJ/mol. (R = 8.314 J/(mol·K))
Ratio = e^[(75 000 − 55 000)/(8.314 × 298)] = e^(20 000/2477.6) = e^8.07 ≈ 3.2 × 10³. Lowering Ea by just 20 kJ/mol makes the reaction about 3000 times faster at room temperature.
2Sketch (describe) the potential energy diagram for the iodide-catalysed decomposition of H₂O₂, with ΔH = −196 kJ for 2H₂O₂ → 2H₂O + O₂, if step 1 is slow and step 2 is fast.
Reactants on the left; products 196 kJ lower on the right. The catalysed path has two humps with a valley between them (the intermediate IO⁻). The first hump is higher (step 1 slow, larger Ea); the second is lower. Both humps are lower than the single uncatalysed hump. ΔH is the same as uncatalysed.
3Some people say a catalyst "makes a reaction happen that otherwise would not". Evaluate this statement.
Inaccurate. A catalyst cannot make an energetically impossible change happen or change ΔH or the equilibrium position; it only speeds up a reaction that could occur, by lowering Ea. In practice, though, a reaction that is far too slow to notice (like starch hydrolysis without enzymes) can become fast enough to matter, so it can look as if the catalyst made it happen.
Check your understandingQuiz
1. A catalyst increases the rate of a reaction by
2. Which statement about a catalysed reaction is true?
3. Platinum in a car's catalytic converter is an example of
4. Why does an enzyme stop working at high temperature?
5. In the steps Cl + O₃ → ClO + O₂ and ClO + O → Cl + O₂, the catalyst is
6. Uncatalysed Ea = 100 kJ; catalysed Ea = 60 kJ; ΔH = +20 kJ. The catalysed Ea(rev) is
For parents and teachersBig ideas (D3.5, D3.6): a catalyst speeds up a reaction by providing a different pathway with a lower activation energy; it is regenerated, does not change ΔH and speeds up the forward and reverse reactions equally. Homogeneous catalysts are in the same phase as the reactants; heterogeneous catalysts (usually solids) work at their surface. Enzymes are protein catalysts with specific active sites, an optimum temperature and pH, and they can be denatured. Canadian scientist Maud Menten helped describe enzyme kinetics (A2.2).
How to help: Do the yeast activity together and ask your teen to explain why all three glasses end with about the same amount of foam (the catalyst changes rate, not amount). Look for "enzyme" on a laundry detergent label and discuss cold-water washing.
Common difficulties:
- Saying a catalyst "gives energy" to the reaction; it lowers the barrier instead.
- Thinking a catalyst changes ΔH or makes more product.
- Confusing a catalyst (used then regenerated) with an intermediate (made then used up).
- Saying high temperature "kills" an enzyme. Enzymes are not alive; they are denatured.
Activity safety: 3% hydrogen peroxide irritates eyes and skin: safety glasses and gloves, a grown-up pours, and work on a tray. Boiling the yeast is done by a grown-up.