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D. Energy Changes and Rates of Reaction · Energy Changes and Rates of Reaction

Making Reactions More Efficient: Conditions, Catalysts and Sustainability

D1.2 D3.5 D2.5 A1.9 A2.1About 70 minutes
Learning goals
  • I can explain how temperature, surface area, pressure and catalysts can make combustion, decomposition and neutralization reactions more efficient.
  • I can use thermochemical data to calculate the energy gained by a condensing furnace or needed by a lime kiln.
  • I can calculate atom economy and use it, with other factors, to judge the sustainability of a process.
  • I can describe careers related to improving the efficiency of chemical processes.

Words to know

efficiency
The useful energy (or output) obtained from a process divided by the energy (or input) supplied, often as a percentage.
condensing furnace
A furnace that recovers the energy released when water vapour in the exhaust condenses.
catalytic converter
A device in a vehicle exhaust system that uses metal catalysts to convert harmful gases into less harmful ones.
green chemistry
The design of chemical products and processes that reduce or eliminate hazardous substances and waste.
atom economy
The mass of the desired product divided by the total mass of all products, as a percentage.
sustainability
Meeting present needs without compromising the ability of future generations to meet their needs.

Same reaction, less waste

Industries and households run the same reactions over and over: burning fuels, decomposing limestone, neutralizing acids. Small improvements in how a reaction is run, multiplied by millions of furnaces or thousands of tonnes of product, add up to large savings in energy, money and emissions. In this lesson you will apply what you know about energy changes and rates to judge how conditions such as temperature, pressure, surface area and catalysts can make reactions more efficient (expectation D1.2), and how that connects to sustainability.

Combustion: getting more heat from each mole of fuel

Natural gas (mostly methane) heats most Ontario homes. Look at two thermochemical equations:

CH₄(g) + 2O₂(g) → CO₂(g) + 2H₂O(l) ΔH = −890.3 kJ

CH₄(g) + 2O₂(g) → CO₂(g) + 2H₂O(g) ΔH = −802.3 kJ

The difference, 88.0 kJ, is the energy released when 2 mol of water vapour condense (Hess's law). An older furnace sends hot water vapour up the chimney, wasting that energy. A condensing furnace has a second heat exchanger that cools the exhaust enough for the water to condense, capturing the extra energy. Most new natural-gas furnaces sold in Canada are condensing models, typically rated at about 90% to 98% efficiency.

Other ways to improve combustion efficiency:

  • Correct air-to-fuel ratio: too little oxygen gives incomplete combustion (carbon monoxide and soot, less energy); far too much air carries heat away up the chimney.
  • Surface area: power plants and cement kilns that burn solid fuels grind them to fine powder so they burn quickly and completely.
  • Catalysts: a car's catalytic converter uses metals such as platinum, palladium and rhodium to convert carbon monoxide, unburned hydrocarbons and nitrogen oxides into carbon dioxide, water and nitrogen at exhaust temperatures.
burnerCH₄ + 2O₂ →CO₂ + 2H₂O(g)hot exhaustgives heat tohouse airsecond heatexchangerwater vapourcondenses:H₂O(g) → H₂O(l)releases extra heatcool exhaust(about 40 °C)through aplastic pipeliquid condensate to drainNon-condensing furnaces sendthe water vapour (and itsenergy) up the chimney.
A condensing furnace recovers the energy released when water vapour in the exhaust condenses. The exhaust leaves cool enough to vent through plastic pipe.
Worked example

Example 1: How much does condensing help?

Use the two equations above. (a) What percentage of the energy available from burning methane (forming liquid water) is lost if all the water leaves as vapour? (b) How much extra energy is captured per cubic metre of natural gas, if 1 m³ contains about 41 mol of methane?

  1. (a) Energy lost = 890.3 − 802.3 = 88.0 kJ per mole of CH₄. Percentage = 88.0 ÷ 890.3 × 100% = 9.88% ≈ 9.9%.
  2. (b) Extra energy = 41 mol × 88.0 kJ/mol = 3608 kJ ≈ 3.6 MJ per cubic metre (about 3.6 × 10³ kJ).
  3. Interpretation: capturing the condensation energy alone can raise efficiency by up to about 10 percentage points; real furnaces also lose some heat in other ways.

(a) about 9.9%; (b) about 3.6 × 10³ kJ per cubic metre.

Decomposition: making lime

Lime (calcium oxide) is used to make cement, steel and paper, and to treat water. It is made by heating limestone in a kiln:

CaCO₃(s) → CaO(s) + CO₂(g) ΔH = +178.3 kJ

This reaction is endothermic and very slow at room temperature, so kilns run at about 900 °C or higher. Ways to make it more efficient:

  • Temperature: high enough for a fast rate; much hotter only wastes fuel.
  • Surface area: crushed limestone of a suitable size decomposes faster than large blocks, but powder that is too fine can block the gas flow through the kiln.
  • Removing CO₂: carrying the carbon dioxide away helps the reaction go to completion (you will study why in the Chemical Equilibrium unit).
  • Heat recovery: using the hot exhaust gases to preheat the incoming limestone.

Note that the CO₂ released by the reaction itself is a large source of emissions from cement and lime plants, in addition to the CO₂ from the fuel. Researchers are developing ways to capture it.

Worked example

Example 2: Energy for a tonne of lime

Calculate the minimum energy needed to decompose enough CaCO₃ to make 1.00 t (1.00 × 10⁶ g) of CaO. (M of CaO = 56.08 g/mol.)

  1. n(CaO) = 1.00 × 10⁶ g ÷ 56.08 g/mol = 1.783 × 10⁴ mol.
  2. Energy = 1.783 × 10⁴ mol × 178.3 kJ/mol = 3.18 × 10⁶ kJ = 3.18 × 10³ MJ.
  3. This is the minimum: a real kiln also heats the rock to about 900 °C and loses heat to the surroundings, so it uses considerably more fuel.

about 3.18 × 10⁶ kJ (3.18 GJ) per tonne of lime, at minimum.

Neutralization: restoring acidic land and water

Acid precipitation and mining emissions acidified many lakes and soils in Northern Ontario. Around Sudbury, the regreening program has spread crushed limestone over acidic, metal-contaminated soils since the late 1970s. The limestone neutralizes the acid:

CaCO₃(s) + 2H⁺(aq) → Ca²⁺(aq) + H₂O(l) + CO₂(g)

which allows grass and trees to grow again. Choosing ground limestone (large surface area) makes it react faster, and it is much safer to handle than quicklime or strong bases. In industry, acidic wastewater is neutralized before it is released, and choosing the right base, concentration and mixing rate keeps the process safe and controlled, because neutralization is exothermic.

Catalysts and sustainability

Catalysts lower activation energy, so reactions can run at lower temperatures and pressures, saving energy:

  • The Haber process for ammonia (N₂ + 3H₂ ⇌ 2NH₃) uses an iron-based catalyst; the choice of temperature and pressure is a compromise you will study in the Chemical Equilibrium unit. Fertilizer made from this ammonia feeds a large share of the world's population.
  • Enzymes in laundry detergents (proteases, lipases and amylases) break down protein, fat and starch stains in cold water. Heating water accounts for much of the energy used in washing clothes, so washing in cold water saves energy.
  • Contact-lens cleaning systems use a small platinum-coated disc to catalyse the decomposition of hydrogen peroxide into water and oxygen, so the solution becomes safe to use on the eye within hours.

Green chemistry (a set of twelve principles published by Paul Anastas and John Warner in 1998) encourages chemists to design reactions that use catalysts, run at moderate temperatures and pressures, use safer substances and waste fewer atoms. One measure is atom economy:

atom economy = (mass of desired product ÷ total mass of all products) × 100%

CaCO₃ → CaO + CO₂ (making lime)56.0%fermentation: glucose → ethanol + CO₂51.1%ethene + water → ethanol100.0%atom economy (dashed box = 100%)
Atom economy for three reactions. Adding water to ethene puts every atom into the product; fermentation and lime-making release CO₂ as a by-product.
Worked example

Example 3: Comparing two routes to ethanol

Ethanol can be made by fermentation, C₆H₁₂O₆ → 2C₂H₅OH + 2CO₂, or by adding water to ethene, C₂H₄ + H₂O → C₂H₅OH. Calculate the atom economy of each and discuss which is more sustainable.

  1. Fermentation: mass of ethanol = 2 × 46.07 = 92.14 g; total products = 92.14 + 2 × 44.01 = 180.16 g. Atom economy = 92.14 ÷ 180.16 × 100% = 51.1%.
  2. Ethene hydration: one product only, so atom economy = 100%.
  3. Discussion: ethene hydration wastes no atoms, but ethene is usually made from fossil fuels, and the reaction needs a catalyst, high temperature and high pressure. Fermentation has a lower atom economy but uses renewable plant sugars at warm temperatures with enzymes (yeast). Sustainability depends on more than one measure: raw materials, energy use, by-products and their uses (the CO₂ from fermentation can be captured and sold).

Fermentation 51.1%; ethene hydration 100%. Neither is simply "better": a full judgement weighs feedstock, energy and by-products.

Just for fun

A cold-water wash with enzyme detergent is chemistry quietly doing your chores: tiny protein catalysts snip apart grass and gravy stains while the water heater takes the day off.

Careers

Chemical engineers design and optimize industrial processes such as kilns and ammonia plants. Process technologists, often trained at Ontario colleges, monitor and adjust reaction conditions in plants. Energy advisors evaluate homes for efficiency upgrades such as condensing furnaces and heat pumps. Environmental scientists plan and monitor projects such as the Sudbury regreening.

Hands-on activity

Home energy audit for reactions

You need: a notebook, and a grown-up to help you look at appliances. Do not open any appliance, gas line or vent.

  1. Find two places in your home where a chemical reaction or process releases or uses energy (for example a gas furnace or water heater, a gas stove, a car, the clothes dryer, or the dishwasher with its detergent).
  2. With a grown-up, read the label or manual of one gas appliance and look for its efficiency rating. (On a furnace, a white plastic vent pipe usually means a condensing model.)
  3. Look at the laundry detergent label. Does it mention enzymes, or say it works in cold water?
  4. For each item, write one change in conditions (temperature, catalyst, air supply, surface area, timing) that could make the process more efficient, and explain it using collision theory or energy changes.

What to look for: reasons that connect to the chemistry: "A condensing furnace captures the energy from condensing water vapour," or "Enzymes act as catalysts, so the wash works at a lower temperature, saving the energy needed to heat water."

Your turn

1

Why does a condensing furnace release more heat per mole of methane than a non-condensing one?

2

What does a catalytic converter do, and what kind of substances act as the catalyst?

3

Why is limestone crushed before it is heated in a kiln?

4

Calculate ΔH for CaCO₃ → CaO + CO₂ from ΔHf values: CaCO₃ −1206.9, CaO −635.1, CO₂ −393.5 kJ/mol.

5

How do enzymes in detergents save energy?

6

Calculate the atom economy of making CaO from CaCO₃ (M: CaO 56.08, CO₂ 44.01 g/mol).

More practice: warm-up

1

Name one condition, other than temperature, that can be changed to speed up a reaction.

2

Is the decomposition of limestone exothermic or endothermic?

3

What gas is produced when limestone neutralizes acid?

4

What does a catalyst do to the activation energy?

5

What is atom economy?

More practice: on your own

1

A non-condensing furnace delivers 80% of the 890.3 kJ/mol available and a condensing furnace 95%. How much more energy does the condensing furnace deliver per mole of methane? Explain.

2

Explain why running a lime kiln much hotter than needed is not efficient.

3

Why does a gas furnace need the correct air-to-fuel ratio?

4

Explain why spreading ground limestone is safer than spreading quicklime (CaO) on acidic soil, using energy changes.

5

Using ideas from this lesson, explain one way in which catalysts contribute to sustainability.

Challenge

1

Write the thermochemical equations to show that the energy difference between the two methane combustion equations equals the energy of condensing 2 mol of water. ΔH for H₂O(g) → H₂O(l) is −44.0 kJ/mol.

2

A cement plant considers burning wood waste instead of coal in its kiln. List two factors, beyond ΔH of combustion, that should be considered, and explain why.

3

The atom economy for making lime is only 56.0%. Suggest how a lime plant could make the process more sustainable, and explain any limitation.

Check your understanding

Quiz

1.

A condensing furnace is more efficient than a non-condensing furnace mainly because it

2.

Which change would most directly make a solid fuel burn faster and more completely?

3.

The decomposition of limestone, CaCO₃ → CaO + CO₂, has ΔH = +178.3 kJ. Which statement is correct?

4.

Enzymes in laundry detergent help save energy because they

5.

Making ethanol from ethene and water has an atom economy of 100% because

6.

Ground limestone is used to regreen acidic soils near Sudbury. Grinding it

For parents and teachers

Big ideas (D1.2): the conditions under which a reaction is run (temperature, surface area, concentration, pressure and catalysts) can be chosen to make common reactions such as combustion, decomposition and neutralization more efficient. Efficiency saves energy and money and reduces emissions, which supports sustainability. Green chemistry and atom economy are tools for judging how sustainable a process is.

How to help: The home audit is a natural conversation. Show your teen the furnace or water heater label, and talk about choices your family makes (cold-water washing, furnace maintenance). Ask them to explain the chemistry behind each choice.

Common difficulties:

  • Thinking a catalyst changes ΔH (it changes only the activation energy and the rate).
  • Confusing efficiency (useful energy out ÷ energy in) with atom economy (mass of desired product ÷ mass of all products).
  • Treating one measure as the whole story: sustainability involves raw materials, energy, by-products and costs.

Activity safety: look at labels only. Never open a furnace, gas line, vent or appliance panel.