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C20: Chemical Cells and Fuel Cells

FoundationHigher

Chemical cells convert chemical energy into electrical energy. Understanding how voltaic cells generate a voltage, how hydrogen fuel cells work, and the differences between rechargeable and non-rechargeable cells is essential for this topic.

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What Is a Chemical Cell?

A chemical cell (also called a voltaic cell or galvanic cell) converts chemical energy into electrical energy. It does this by using a redox reaction: one metal is oxidised at the negative electrode and another species is reduced at the positive electrode.

A simple chemical cell is made by connecting two different metals in a solution of their own ions (an electrolyte). The difference in reactivity between the two metals determines the voltage produced by the cell.

Essential components of a cell:

A cell produces electricity because the more reactive metal loses electrons more easily. These electrons flow through the external circuit to the less reactive electrode, creating an electric current. The greater the difference in reactivity between the two metals, the higher the voltage produced.

How Voltaic Cells Work

In a voltaic cell, the more reactive metal is oxidised (loses electrons) and becomes the negative electrode. The electrons flow through the external circuit to the positive electrode, where the less reactive metal ions are reduced (gain electrons). The flow of electrons is the electric current.
A Zinc-Copper Cell

Electrodes: Zinc and Copper

Electrolytes: Zinc sulfate solution and Copper sulfate solution (connected by a salt bridge)

Zinc is more reactive than copper, so zinc is the negative electrode and copper is the positive electrode.

At the zinc electrode (negative):

Zn(s) → Zn²⁺(aq) + 2e⁻ (oxidation)

Zinc atoms lose electrons and go into solution as zinc ions. The electrons flow through the external circuit to the copper electrode.

At the copper electrode (positive):

Cu²⁺(aq) + 2e⁻ → Cu(s) (reduction)

Copper ions from the solution gain electrons and deposit as copper metal on the electrode.

The zinc electrode decreases in mass (it dissolves) and the copper electrode increases in mass (copper deposits). The cell produces a voltage of about 1.1 V.

The voltage of a cell depends on the difference in reactivity between the two metals. A bigger difference in reactivity produces a higher voltage. For example, a magnesium-copper cell produces a higher voltage than a zinc-copper cell because magnesium is more reactive than zinc.

Factors Affecting the Voltage of a Cell

The voltage produced by a simple cell depends on: the types of metals used as electrodes (the bigger the reactivity difference, the higher the voltage), the electrolyte used, and the concentration of the electrolyte.
CellNegative ElectrodePositive ElectrodeRelative Voltage
Magnesium-CopperMg (very reactive)Cu (very unreactive)High (large reactivity difference)
Zinc-CopperZn (fairly reactive)Cu (very unreactive)Medium
Iron-CopperFe (moderately reactive)Cu (very unreactive)Lower than Zn-Cu
Iron-ZincFe (less reactive)Zn (more reactive)Low (small reactivity difference)

Other factors that affect cell voltage:

If both electrodes are made of the same metal, no voltage is produced because there is no difference in reactivity. The cell only works when two different metals with different reactivities are used.

Non-Rechargeable Cells

In a non-rechargeable cell, the chemicals are used up as the cell discharges. Once the reactants have been completely converted to products, the cell is dead and must be disposed of. The redox reaction is irreversible.

Non-rechargeable cells contain chemicals that react irreversibly. When the chemical reactions have gone to completion, no more electrical energy can be produced and the cell must be replaced.

Common types of non-rechargeable cells:

Non-rechargeable cells must not be recharged because the chemical reactions are irreversible. Attempting to recharge them can cause leakage, overheating, or even explosion. They should be disposed of properly as they contain toxic chemicals.

Rechargeable Cells

In a rechargeable cell, the chemical reactions are reversible. When the cell discharges, the forward reactions produce electricity. When the cell is recharged, an external electrical current drives the reverse reactions, restoring the original reactants.

Rechargeable cells can be used hundreds of times because the chemical reactions can be reversed by passing an electric current through the cell in the opposite direction during recharging.

Common types of rechargeable cells:

FeatureNon-Rechargeable CellsRechargeable Cells
Chemical reactionsIrreversibleReversible
LifespanUsed once then discardedCan be recharged hundreds of times
Initial costLowHigher
Long-term costHigher (need constant replacement)Lower (reuse many times)
Environmental impactMore waste, toxic chemicals in landfillLess waste, but eventual disposal still needed
ConvenienceReady to use, no recharging neededNeed access to electricity for recharging
ExamplesAlkaline, zinc-carbonLithium-ion, lead-acid, NiMH

Hydrogen Fuel Cells

A hydrogen fuel cell uses hydrogen and oxygen to produce electrical energy. The only products are water and heat, making it a clean source of energy. Hydrogen is oxidised at the anode and oxygen is reduced at the cathode.

A hydrogen fuel cell works like a battery, but it does not run down or need recharging as long as hydrogen and oxygen are continuously supplied. The fuel cell converts the chemical energy of hydrogen directly into electrical energy without combustion.

Structure of a hydrogen fuel cell:

Hydrogen Fuel Cell Reactions

At the anode (negative electrode):

H₂(g) → 2H⁺(aq) + 2e⁻

Hydrogen gas is oxidised. The hydrogen molecules split into hydrogen ions (protons) and electrons. The protons pass through the electrolyte membrane to the cathode. The electrons flow through the external circuit, providing the electric current.

At the cathode (positive electrode):

½O₂(g) + 2H⁺(aq) + 2e⁻ → H₂O(l)

Oxygen gas is reduced. The oxygen combines with the hydrogen ions and electrons to form water.

Overall reaction:

H₂(g) + ½O₂(g) → H₂O(l)

The only product is water, making this a very clean process.

In a hydrogen fuel cell, the anode is the negative electrode (where oxidation happens) and the cathode is the positive electrode (where reduction happens). This is the opposite of electrolysis, where the anode is positive and the cathode is negative. In a fuel cell, the cell generates its own electricity; in electrolysis, electricity is supplied from outside.

Half Equations for the Hydrogen Fuel Cell

The half equations for the hydrogen fuel cell show the oxidation of hydrogen at the anode and the reduction of oxygen at the cathode. The overall equation shows hydrogen and oxygen combining to form water.

There are two common versions of the half equations depending on whether the product is liquid water or water vapour:

Half Equations with Liquid Water Product

Anode: H₂(g) → 2H⁺(aq) + 2e⁻

Cathode: ½O₂(g) + 2H⁺(aq) + 2e⁻ → H₂O(l)

Overall: H₂(g) + ½O₂(g) → H₂O(l)

Half Equations with Water Vapour Product

Anode: H₂(g) → 2H⁺(aq) + 2e⁻

Cathode: ½O₂(g) + 2H⁺(aq) + 2e⁻ → H₂O(g)

Overall: H₂(g) + ½O₂(g) → H₂O(g)

To combine half equations, ensure the number of electrons lost at the anode equals the number of electrons gained at the cathode. In the hydrogen fuel cell, 2 electrons are lost at the anode and 2 are gained at the cathode, so the equations combine directly without multiplying.

Advantages and Disadvantages of Hydrogen Fuel Cells

Hydrogen fuel cells produce only water, have a high efficiency, and do not produce greenhouse gases during operation. However, hydrogen is difficult to store, and producing hydrogen often requires energy from fossil fuels.
AdvantagesDisadvantages
Only product is water — no pollution or greenhouse gases at point of useHydrogen is a gas and is difficult to store and transport safely
Higher efficiency than combustion engines (convert more chemical energy to useful energy)Hydrogen is often produced from fossil fuels (e.g. by steam reforming of methane), which releases CO₂
No moving parts — quiet operation and low maintenanceProducing hydrogen by electrolysis of water requires large amounts of electricity
Can be used in vehicles, buildings, and portable devicesFuel cells and hydrogen storage systems are expensive
Continuous energy supply as long as fuel is provided (unlike batteries that run down)Limited refuelling infrastructure for hydrogen vehicles
Lighter than batteries for the same energy output (important for vehicles)Hydrogen is highly flammable and must be stored under high pressure or at very low temperatures
When discussing advantages and disadvantages of hydrogen fuel cells, remember to consider the full life cycle: how is the hydrogen produced? If hydrogen is made by electrolysis using electricity from fossil fuel power stations, the overall process still contributes to carbon emissions. If the electricity comes from renewable sources, the process is truly clean.

Hydrogen as a Fuel

Hydrogen can be used as a fuel in two main ways: in a fuel cell to produce electricity, or burned directly in a combustion engine. Both methods produce water as the only product of combustion, making hydrogen a cleaner alternative to fossil fuels.

Hydrogen combustion: 2H₂(g) + O₂(g) → 2H₂O(g)

This is a highly exothermic reaction and the only product is water vapour. There are no carbon dioxide emissions, no carbon monoxide, and no particulates.

FeatureHydrogen Fuel CellHydrogen Combustion Engine
How it worksElectrochemical reaction converts chemical energy directly to electrical energyHydrogen is burned in air to release heat energy
EfficiencyHigher (up to 60-70%)Lower (about 25-30%, similar to petrol engines)
ProductsWaterWater (and some nitrogen oxides from air at high temperatures)
NoiseVery quietNoisy (like a conventional engine)
Moving partsFew or noneMany moving parts

Producing Hydrogen for Fuel Cells

Hydrogen for fuel cells can be produced by electrolysis of water or by steam reforming of methane. Electrolysis using renewable electricity produces clean hydrogen, while steam reforming produces CO₂ as a by-product.

Method 1: Electrolysis of water

2H₂O(l) → 2H₂(g) + O₂(g)

An electric current is passed through water, decomposing it into hydrogen and oxygen gases. If the electricity comes from renewable sources (wind, solar, hydroelectric), the hydrogen produced is truly clean with zero carbon emissions. However, electrolysis is expensive and requires a lot of electricity.

Method 2: Steam reforming of methane (natural gas)

CH₄(g) + H₂O(g) → CO(g) + 3H₂(g)

This is the most common industrial method for producing hydrogen. Methane reacts with steam at high temperature (about 700°C) with a nickel catalyst. The carbon monoxide produced can then react with more steam:

CO(g) + H₂O(g) → CO₂(g) + H₂(g)

The overall result is that large amounts of CO₂ are produced, meaning the hydrogen is not truly carbon-free unless carbon capture and storage is used.

Most hydrogen used today is produced by steam reforming because it is cheaper than electrolysis. However, it contributes to greenhouse gas emissions. For hydrogen fuel cells to be truly sustainable, we need to switch to producing hydrogen by electrolysis powered by renewable energy sources.

Uses of Fuel Cells

Hydrogen fuel cells are used in vehicles (cars, buses, forklift trucks), spacecraft, and backup power systems. Their high energy-to-weight ratio and clean operation make them particularly suitable for transport applications.

Comparing Cells and Batteries

A battery is a collection of cells connected together. A single cell produces a small voltage (typically 1.5 V for an alkaline cell), so multiple cells are connected in series to produce higher voltages. For example, a 9 V battery contains six 1.5 V cells.
FeatureSimple Voltaic CellCommercial BatteryFuel Cell
Energy sourceChemical reactions between metals and electrolyteChemical reactions between stored reactantsChemical reactions between externally supplied fuel and oxygen
Rechargeable?Depends on the chemistrySome are, some are notNot needed — runs continuously while fuel is supplied
Runs out?Yes — reactants are consumedYes — stored chemicals are used upOnly if fuel supply stops
VoltageDepends on metals used (typically 0.5-2 V)Depends on chemistry (typically 1.2-3.7 V per cell)About 0.7 V per cell (multiple cells stacked for more voltage)
Environmental impactModerate — contains metal saltsVaries — some contain toxic metalsLow if hydrogen is produced cleanly

Limitations of Hydrogen Fuel Cells

The main limitations of hydrogen fuel cells are: the cost of production and materials, the difficulty of storing and transporting hydrogen gas, the lack of refuelling infrastructure, and the fact that most hydrogen is currently produced from fossil fuels.

Key limitations in detail:

Practice Questions

1. Explain why a zinc-copper cell produces a higher voltage than an iron-copper cell.

The voltage of a cell depends on the difference in reactivity between the two metals used as electrodes. Zinc is more reactive than iron, so there is a greater reactivity difference between zinc and copper than between iron and copper. A greater reactivity difference means more energy is available to push electrons through the circuit, resulting in a higher voltage.

2. Write the half equations for a hydrogen fuel cell and explain why the only product is water.

Anode: H₂(g) → 2H⁺(aq) + 2e⁻

Cathode: ½O₂(g) + 2H⁺(aq) + 2e⁻ → H₂O(l)

Overall: H₂(g) + ½O₂(g) → H₂O(l)

The only product is water because hydrogen is oxidised to H⁺ ions, which then combine with oxygen and electrons at the cathode to form water. No carbon-containing compounds are involved, so no CO₂ or other pollutants are produced.

3. Explain the difference between a rechargeable and a non-rechargeable cell.

In a non-rechargeable cell, the chemical reactions are irreversible. Once the reactants have been converted to products, the cell is dead and cannot be used again. In a rechargeable cell, the chemical reactions are reversible. When the cell discharges, the forward reactions produce electricity. When an external current is applied (recharging), the reverse reactions occur, restoring the original reactants so the cell can be used again.

4. Describe two advantages and two disadvantages of using hydrogen fuel cells in vehicles compared to petrol engines.

Advantages: (1) The only product is water, so there are no harmful emissions or greenhouse gases at the point of use. (2) Fuel cells are more efficient than petrol engines, converting more of the chemical energy into useful energy.

Disadvantages: (1) Hydrogen is difficult to store — it must be kept under high pressure or at very low temperatures, requiring heavy and expensive storage tanks. (2) There is limited refuelling infrastructure for hydrogen vehicles, with very few hydrogen stations available.

5. A student sets up a cell with a magnesium electrode and a copper electrode. Explain which metal forms the negative electrode and write a half equation for the reaction at this electrode.

Magnesium is more reactive than copper, so magnesium forms the negative electrode. At the negative electrode, magnesium is oxidised (loses electrons): Mg(s) → Mg²⁺(aq) + 2e⁻. The electrons flow through the external circuit to the copper electrode, creating an electric current.

6. Explain why hydrogen produced by electrolysis of water using renewable electricity is considered more environmentally friendly than hydrogen produced by steam reforming of methane.

When hydrogen is produced by electrolysis using renewable electricity (from wind, solar, or hydroelectric power), no fossil fuels are burned and no CO₂ is released at any stage of the process. The overall process is carbon-neutral. In contrast, steam reforming of methane (CH₄ + H₂O → CO + 3H₂) produces carbon monoxide, which is then converted to CO₂. This releases significant amounts of CO₂, a greenhouse gas that contributes to climate change. Therefore, hydrogen from steam reforming is not truly clean even though the fuel cell itself only produces water.

Maths Skills

Comparing Voltages

When comparing voltage data from different cells, identify patterns. A greater difference in reactivity between the two metals produces a higher voltage. Use data tables to calculate the reactivity difference and correlate it with the measured voltage.

Efficiency Calculations

Efficiency = (useful energy output / total energy input) × 100. Hydrogen fuel cells have an efficiency of about 60–70%, compared to petrol engines at about 25–30%. This means fuel cells convert a greater proportion of the chemical energy into useful work, wasting less as heat.

Electrode Equations

The half equation at the anode shows oxidation (electrons on the product side), e.g. Zn → Zn2+ + 2e. At the cathode, reduction (electrons on the reactant side), e.g. Cu2+ + 2e → Cu. The overall equation is obtained by combining half equations so that electrons cancel.

Common Misconceptions

Wrong: Fuel cells burn hydrogen Correct: Fuel cells do not burn hydrogen. They convert chemical energy directly to electrical energy through electrochemical reactions. Hydrogen is oxidised at the anode and oxygen is reduced at the cathode — no combustion takes place

Wrong: Rechargeable batteries last forever Correct: Rechargeable batteries have a limited number of charge-discharge cycles (typically 500-1000 for lithium-ion). Over time, the chemical reactions become less reversible and the capacity decreases until the battery must be replaced

6-Mark Extended Question

Hydrogen Fuel Cells vs Petrol Engines

Evaluate the advantages and disadvantages of hydrogen fuel cells compared to petrol engines.

Advantages of hydrogen fuel cells: the only product is water, so there are no greenhouse gases or pollutants at the point of use (no CO2, NOx, or particulates). Fuel cells are more efficient than petrol engines (about 60–70% vs 25–30%), converting more chemical energy into useful work. They have no moving parts, so they are quiet and require less maintenance. [2 marks]

Disadvantages of hydrogen fuel cells: hydrogen is difficult to store and transport — it must be stored under high pressure (up to 700 atm) or at very low temperatures (−253°C), requiring heavy and expensive tanks. The refuelling infrastructure is very limited compared to petrol stations. Most hydrogen is currently produced from fossil fuels (steam reforming of methane), which releases CO2, reducing the environmental benefit. Fuel cells use expensive platinum catalysts. [2 marks]

Overall, hydrogen fuel cells offer significant environmental advantages over petrol engines at the point of use, but the full life cycle must be considered. If hydrogen is produced by electrolysis using renewable electricity, fuel cells are truly clean. If hydrogen comes from fossil fuels, the overall carbon footprint may not be much better than petrol. Petrol engines benefit from established infrastructure and lower upfront costs, but they produce CO2 and other pollutants every time they are used. [2 marks]

AO3: Analyse and Evaluate

Evaluating Cell Types for a Specific Application

A city is choosing between three options to power its new fleet of 50 buses: (A) diesel engines, (B) hydrogen fuel cells, or (C) lithium-ion rechargeable batteries. The city has 3 hydrogen refuelling stations and 200 electric charging points. Average daily route is 180 km. Diesel costs £1.50/L, hydrogen costs £8/kg, electricity costs £0.15/kWh. Evaluate which option is most suitable, considering environmental impact, practicality, and cost.

Option A (diesel): Most practical — existing refuelling infrastructure, lowest upfront cost, proven technology. However, diesel buses produce CO2, NOx and particulates, contributing to air pollution and climate change. Running costs are moderate.

Option B (hydrogen fuel cells): Best environmental performance at point of use — only water emitted. Fast refuelling (5–10 minutes) suits buses with long routes (180 km). However, only 3 hydrogen stations is very limited for 50 buses. Hydrogen is expensive (£8/kg), making running costs high. If hydrogen is from fossil fuels, the environmental benefit is reduced.

Option C (lithium-ion batteries): Zero emissions at point of use. 200 charging points provides adequate infrastructure. Electricity is cheap (£0.15/kWh). However, 180 km daily routes may stretch battery range, especially in cold weather. Charging takes hours, requiring overnight charging or battery swaps. Batteries degrade over time (5–8 years), adding replacement costs.

Recommendation: Option C is most suitable for this city. The 200 charging points exceed the limited 3 hydrogen stations, electricity is cheapest, and the environmental impact is lowest (assuming renewable electricity). Battery range may need careful scheduling but is achievable for 180 km with modern buses.

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