A fuel cell experiment is an experiment in which a fuel such as hydrogen or methanol reacts with oxygen and the chemical energy is directly extracted as electrical energy.
In a typical hydrogen fuel cell, hydrogen is oxidized at the fuel electrode, while oxygen is reduced at the air electrode or oxygen electrode.
Overall, water is produced from hydrogen and oxygen, but electricity can be generated by extracting the electron transfer through an external circuit.
In a discussion of a fuel cell experiment, it is not sufficient simply to write that “a voltage was generated” or “the voltage decreased over time.”
It is necessary to explain at which electrode oxidation and reduction occur, why the theoretical electromotive force differs from the measured voltage, how internal resistance and overvoltage are related to voltage drop, and how fuel supply and water generation affect power generation.
This article clearly explains, as examples of discussions that can be used in laboratory reports on fuel cell experiments, the principle of hydrogen fuel cells, electrode reactions, electromotive force, voltage drop, activation overvoltage, resistance loss, concentration polarization, fuel supply, power-generation efficiency, Faradaic efficiency, causes of error, and points for improvement.
Note:
This article is a reference intended to assist with discussions of fuel cell experimental results obtained in physical chemistry experiments, electrochemistry experiments, energy chemistry experiments, and basic chemistry experiments at universities and similar institutions.
For the actual type of fuel cell, electrode material, electrolyte membrane, fuel-supply conditions, load resistance, measurement method, and safety precautions, always follow the instructions in your university’s laboratory manual and those given by your instructor or TA.
- What Is a Fuel Cell Experiment?
- Main Items to Include in the Results
- Reference Experimental Values and Calculation Examples for Fuel Cell Experiments
- Reference Experimental Conditions
- Confirmation of Electrode Reactions
- Open-Circuit Voltage and Voltage Under Load
- Example Calculation of Current
- Example Calculation of Output
- Relationship Between Load Resistance and Voltage Drop
- Example Calculation of Voltage-Drop Percentage
- Relationship Between Current and Output
- Example Efficiency Calculation Using Fuel Consumption
- Comparison Between Air Supply and Oxygen Supply
- Example of How to Write the Results
- Points for Connecting the Results to the Discussion
- Example Discussion
- Summary
- Principle of a Hydrogen Fuel Cell
- Reaction at the Fuel Electrode
- Reaction at the Oxygen Electrode
- Open-Circuit Voltage and Voltage Under Load
- Difference Between Theoretical Electromotive Force and Measured Voltage
- Main Causes of Voltage Drop
- Discussion of Activation Overvoltage
- Voltage Drop Caused by Internal Resistance
- Discussion of Concentration Polarization
- Effect of Water Management
- Effect of Fuel Supply
- Effect of Oxygen Supply
- How to Determine Output
- Concept of Power-Generation Efficiency
- Discussion of Faradaic Efficiency
- Effect of the Catalyst
- Effect of the Electrolyte Membrane
- When the Voltage Decreases Over Time
- Causes of Error in Fuel Cell Experiments
- When the Results Can Be Considered Good
- Example Discussions When the Experiment Did Not Go Well
- How to Write Points for Improvement
- Difference Between a Superficial Discussion and a Good Discussion
- Examples of Expressions That Can Be Used in Reports
- Points to Check When Discussing Fuel Cell Experiments
- Summary
What Is a Fuel Cell Experiment?
A fuel cell experiment is an experiment in which electrical energy is obtained using a chemical reaction between a fuel and an oxidizing agent.
Ordinary batteries generate electricity by consuming reactants stored inside them, whereas fuel cells can continue generating electricity as long as fuel and oxygen are continuously supplied from outside.
In a hydrogen fuel cell, hydrogen is used as the fuel and oxygen as the oxidizing agent, with water produced as the product.
Fuel cells are characterized by extracting the electron transfer of a redox reaction into an external circuit rather than converting chemical energy into heat energy through combustion.
Therefore, they have high energy-conversion efficiency and are attracting attention as a clean power-generation method because the main product during power generation is water.
In experiments, performance is evaluated by measuring voltage, current, load resistance, power-generation time, fuel consumption, and other quantities.
Example Discussion:
In a fuel cell, electricity is generated by allowing the oxidation of hydrogen and the reduction of oxygen to proceed at separate electrodes, thereby extracting electrons through an external circuit.
When hydrogen and oxygen react directly, energy is released as heat, whereas in a fuel cell, electrical energy can be obtained as a flow of electrons.
Therefore, in a fuel cell experiment, it is important to discuss the relationship between electrode reactions and voltage and current.
Main Items to Include in the Results
In the results of a fuel cell experiment, organize the type of fuel cell, type of fuel, oxidizing agent, electrolyte, electrode material, open-circuit voltage, voltage under load, current, output, power-generation time, voltage change over time, fuel consumption, efficiency, and other information.
To discuss voltage drop and efficiency, it is important to clearly record the load conditions and measurement time.
Main Items to Include in the Results
- Type of fuel cell
- Type of fuel
- Type of oxidizing agent
- Type of electrolyte membrane or electrolyte solution
- Electrode material
- Presence or absence of a catalyst
- Open-circuit voltage
- Load resistance
- Voltage under load
- Current value
- Output
- Change in voltage over time
- Fuel-supply conditions
- Oxygen-supply conditions
- Condition of generated water
- Fuel consumption
- Power-generation efficiency
- Causes of error and points for improvement
Example of How to Write the Results:
Hydrogen and oxygen were supplied to a hydrogen fuel cell, and the open-circuit voltage and the voltage and current under load were measured.
A relatively high voltage was obtained under open-circuit conditions, but the voltage decreased when a load was connected.
The output was calculated from the current and voltage, and overvoltage, internal resistance, insufficient fuel supply, and the effect of generated water were considered as causes of the voltage drop.
Reference Experimental Values and Calculation Examples for Fuel Cell Experiments
Here, the open-circuit voltage, voltage drop under load, current, output, and efficiency of a fuel-cell power-generation experiment using hydrogen and oxygen are organized using reference experimental values.
In a fuel cell, electrical energy is extracted through the oxidation of hydrogen and the reduction of oxygen.
Although a high voltage can theoretically be obtained, in actual measurements the voltage may be lower than the theoretical value because of internal resistance, delays in electrode reactions, fuel supply, and resistance of the membrane or electrolyte.
Reference Experimental Conditions
| Item | Details |
|---|---|
| Type of fuel cell | Small polymer electrolyte fuel cell |
| Fuel | Hydrogen |
| Oxidizing agent | Oxygen or air |
| Measurement items | Voltage, current, output, voltage drop, efficiency |
| Load resistance | 10 Ω, 20 Ω, 50 Ω, 100 Ω, open circuit |
| Measurement temperature | Room temperature |
Confirmation of Electrode Reactions
In a hydrogen fuel cell, hydrogen is oxidized at the negative electrode and oxygen is reduced at the positive electrode.
Overall, water is produced from hydrogen and oxygen, and electrical energy is extracted in the process.
| Location | Reaction | Meaning |
|---|---|---|
| Negative electrode | H2 → 2H+ + 2e− | Hydrogen releases electrons and is oxidized |
| Positive electrode | 1/2O2 + 2H+ + 2e− → H2O | Oxygen accepts electrons and forms water |
| Overall reaction | H2 + 1/2O2 → H2O | Chemical energy is converted into electrical energy |
Open-Circuit Voltage and Voltage Under Load
First, the voltage when no load is connected to the external circuit is defined as the open-circuit voltage.
Next, a resistor is connected and the voltage is measured while current flows.
| Condition | Load Resistance | Measured Voltage | Current | Output |
|---|---|---|---|---|
| Open circuit | Not connected | 0.96 V | 0.000 A | 0.000 W |
| With load | 100 Ω | 0.88 V | 0.0088 A | 0.0077 W |
| With load | 50 Ω | 0.82 V | 0.0164 A | 0.0134 W |
| With load | 20 Ω | 0.68 V | 0.0340 A | 0.0231 W |
| With load | 10 Ω | 0.50 V | 0.0500 A | 0.0250 W |
Example Calculation of Current
The current when a resistor is connected can be determined using Ohm’s law.
Current I = Voltage V ÷ Resistance R
For example, when a 50 Ω resistor is connected and the measured voltage is 0.82 V, the current is as follows.
I = 0.82 V ÷ 50 Ω = 0.0164 A
In other words, under the condition where a 50 Ω load was connected, a current of approximately 16.4 mA flowed.
Example Calculation of Output
The electric power supplied by the fuel cell to the external circuit can be determined from the product of voltage and current.
Output P = Voltage V × Current I
Under the 50 Ω condition, the voltage is 0.82 V and the current is 0.0164 A, so the output is as follows.
P = 0.82 V × 0.0164 A = 0.0134 W
Therefore, the output under this condition is approximately 0.013 W.
Relationship Between Load Resistance and Voltage Drop
The open-circuit voltage was 0.96 V, but when a load was connected and current flowed, the measured voltage decreased.
In particular, as the load resistance became smaller and the current increased, the voltage drop became larger.
| Load Resistance | Measured Voltage | Difference from Open-Circuit Voltage | Voltage-Drop Percentage |
|---|---|---|---|
| 100 Ω | 0.88 V | 0.08 V | 8.3% |
| 50 Ω | 0.82 V | 0.14 V | 14.6% |
| 20 Ω | 0.68 V | 0.28 V | 29.2% |
| 10 Ω | 0.50 V | 0.46 V | 47.9% |
Example Calculation of Voltage-Drop Percentage
The voltage-drop percentage expresses as a percentage how much the voltage decreases under load relative to the open-circuit voltage.
Voltage-drop percentage (%) = (Open-circuit voltage − Voltage under load) ÷ Open-circuit voltage × 100
Under the 20 Ω condition, the open-circuit voltage is 0.96 V and the voltage under load is 0.68 V, so it can be calculated as follows.
Voltage-drop percentage = (0.96 − 0.68) ÷ 0.96 × 100 = 29.2%
This result shows that when a 20 Ω load was connected, the voltage decreased by approximately 29.2% relative to the open-circuit voltage.
Relationship Between Current and Output
When the load resistance decreases, the current increases, but the voltage decreases.
Therefore, output does not necessarily increase simply because the current becomes larger, and is determined by the balance between voltage and current.
| Load Resistance | Current | Voltage | Output | How to Interpret the Result |
|---|---|---|---|---|
| 100 Ω | 0.0088 A | 0.88 V | 0.0077 W | Voltage is high, but current is small |
| 50 Ω | 0.0164 A | 0.82 V | 0.0134 W | Output increases |
| 20 Ω | 0.0340 A | 0.68 V | 0.0231 W | Output increases further |
| 10 Ω | 0.0500 A | 0.50 V | 0.0250 W | Current is large, but voltage drop is also large |
In this reference example, the largest output was obtained under the 10 Ω condition.
However, if the load is reduced further, the current may increase while the voltage decreases greatly, causing the output to decrease.
A fuel cell is therefore considered to have a load condition at which the output becomes maximum.
Example Efficiency Calculation Using Fuel Consumption
When considering fuel-cell efficiency, the electrical energy extracted is compared with the chemical energy possessed by the hydrogen.
Here, an example is considered in which electricity is generated for 60 seconds with a 20 Ω load connected.
| Item | Value |
|---|---|
| Load resistance | 20 Ω |
| Measured voltage | 0.68 V |
| Current | 0.0340 A |
| Power-generation time | 60 s |
| Output | 0.0231 W |
| Chemical energy of consumed hydrogen | 2.10 J |
First, the extracted electrical energy is determined by multiplying the output by the time.
Electrical energy = Output × Time
0.0231 W × 60 s = 1.39 J
Next, the efficiency is determined by dividing the extracted electrical energy by the supplied chemical energy.
Efficiency (%) = Electrical energy ÷ Chemical energy × 100
Efficiency = 1.39 J ÷ 2.10 J × 100 = 66.2%
Therefore, in this reference example, an efficiency of approximately 66.2% was obtained under the 20 Ω condition.
Comparison Between Air Supply and Oxygen Supply
The voltage and output obtained may differ depending on whether air or oxygen is used as the oxidizing agent.
The higher the oxygen concentration, the more readily the oxygen-reduction reaction proceeds at the positive electrode, and the voltage drop may become smaller.
| Oxidizing Agent | Load Resistance | Measured Voltage | Current | Output | Characteristic |
|---|---|---|---|---|---|
| Air | 20 Ω | 0.61 V | 0.0305 A | 0.0186 W | Oxygen concentration is low and output is somewhat smaller |
| Oxygen | 20 Ω | 0.68 V | 0.0340 A | 0.0231 W | Oxygen-reduction reaction proceeds more readily and output is larger |
In this reference example, the voltage and output were larger when oxygen was supplied than when air was supplied.
This was considered to result from sufficient oxygen supply at the positive electrode, making the oxygen-reduction reaction proceed more readily.
Example of How to Write the Results
The open-circuit voltage of the fuel cell was 0.96 V.
When a 100 Ω load was connected, the voltage was 0.88 V, the current was 0.0088 A, and the output was 0.0077 W.
When the load resistance was decreased, the current increased, but the voltage decreased, and under the 10 Ω condition the voltage decreased to 0.50 V.
Under the condition where a 20 Ω load was connected, the voltage was 0.68 V, the current was 0.0340 A, and the output was 0.0231 W.
Compared with the open-circuit voltage of 0.96 V, the voltage-drop percentage was 29.2%.
In addition, the electrical energy generated over 60 seconds was 1.39 J, and when the chemical energy of the consumed hydrogen was assumed to be 2.10 J, the efficiency was calculated to be 66.2%.
Points for Connecting the Results to the Discussion
In a discussion of a fuel cell experiment, it is important not only to list voltage and current values but also to explain why the voltage decreases when a load is connected and under which conditions the output becomes large.
- Was there a difference between the open-circuit voltage and the voltage under load?
- When the load resistance was decreased, did the current increase and the voltage decrease?
- Was there a load condition at which the output became maximum?
- Can internal resistance, delays in electrode reactions, and insufficient fuel supply be considered as causes of voltage drop?
- Was there a difference in voltage or output between air supply and oxygen supply?
- When calculating efficiency, were the electrical energy and chemical energy of the fuel compared?
- Could hydrogen leakage, wetting of the electrodes, poor contact, or the internal resistance of the measuring instrument have been sources of error?
Example Discussion
In this experiment, the open-circuit voltage of the fuel cell was 0.96 V, but the voltage decreased when a load was connected.
The voltage was 0.88 V with a 100 Ω load, whereas it decreased to 0.50 V with a 10 Ω load.
This was considered to result from the smaller load resistance causing a larger current to flow, thereby increasing voltage losses due to resistance inside the fuel cell and delays in electrode reactions.
On the other hand, when the load resistance was decreased, the current increased and the output also increased.
In this reference example, the output under the 10 Ω condition was 0.0250 W, the largest among the measured conditions.
However, if an even larger current were extracted, the voltage drop could become greater and the output could decrease.
Therefore, a fuel cell is considered to have an optimum load condition determined by the balance between voltage and current.
In addition, the voltage and output were larger when oxygen was used as the oxidizing agent than when air was used.
This was considered to result from the higher oxygen concentration making the oxygen-reduction reaction at the positive electrode proceed more readily and reducing the voltage loss associated with the reaction.
This indicates that fuel-cell performance is also greatly affected by the supply conditions of fuel and oxygen.
Regarding efficiency, when the electrical energy generated for 60 seconds under the 20 Ω condition was 1.39 J and the chemical energy of the consumed hydrogen was 2.10 J, the efficiency was 66.2%.
In practice, not all of the supplied chemical energy can be extracted as electrical energy because of heat generation, internal resistance, reaction overvoltage, unused fuel, and other losses.
Therefore, when discussing efficiency, it is important to specifically describe the causes of energy loss rather than only the difference from the theoretical value.
Summary
In a fuel cell experiment, the power-generation characteristics and causes of voltage drop can be discussed by measuring the open-circuit voltage, voltage under load, current, and output.
In this reference example, the current increased as the load resistance decreased, but the voltage decreased.
In addition, the output was larger when oxygen was supplied than when air was supplied.
In a report, it is useful to relate electrode reactions, internal resistance, fuel supply, oxygen supply, and energy-conversion efficiency.
Principle of a Hydrogen Fuel Cell
In a hydrogen fuel cell, hydrogen H2 is oxidized at the fuel electrode, producing electrons and protons H+.
The electrons flow through the external circuit to the oxygen electrode, and this flow is used as electric current.
The protons move through the electrolyte membrane to the oxygen electrode, where they react with oxygen and electrons to produce water H2O.
In this way, a fuel cell separates the reaction of hydrogen and oxygen at the electrodes and extracts the electron transfer through an external circuit.
The overall reaction is the same as the combustion reaction of hydrogen, in which H2 and O2 form H2O.
However, unlike combustion, the important point is that the chemical energy is converted directly into electrical energy.
Fuel electrode: H2 → 2H+ + 2e-
Oxygen electrode: 1/2O2 + 2H+ + 2e- → H2O
Overall: H2 + 1/2O2 → H2O
Example Discussion:
In a hydrogen fuel cell, H2 is oxidized at the fuel electrode to produce H+ and electrons.
The electrons flow through the external circuit and react with O2 and H+ at the oxygen electrode to produce H2O.
Because electric current is obtained from this flow of electrons, electricity was considered to have been generated using the redox reaction of hydrogen and oxygen.
Reaction at the Fuel Electrode
At the fuel electrode, an oxidation reaction occurs in which hydrogen loses electrons.
Hydrogen molecules H2 react on the catalyst surface and separate into protons H+ and electrons e-.
The protons move through the electrolyte membrane or electrolyte, while the electrons flow into the external circuit.
If the reaction at the fuel electrode is slow, the voltage and current of the entire fuel cell decrease.
Catalyst activity, electrode surface area, hydrogen supply, degree of electrode wetting, and contact with the electrolyte affect the reaction rate.
The fuel electrode is an important location where the chemical energy of the fuel is converted into a flow of electrons.
Example Discussion:
At the fuel electrode, hydrogen is oxidized to produce H+ and electrons.
Because the electrons generated by this reaction flow through the external circuit, the ease with which the fuel-electrode reaction proceeds greatly affects the current of the fuel cell.
If the hydrogen supply is insufficient or the catalyst surface does not function adequately, the fuel-electrode reaction becomes slower and may cause a voltage drop.
Reaction at the Oxygen Electrode
At the oxygen electrode, a reduction reaction occurs in which oxygen accepts electrons.
Electrons arriving through the external circuit from the fuel electrode and H+ transported through the electrolyte react with oxygen O2 to produce water.
In a hydrogen fuel cell, this oxygen-reduction reaction tends to be a major cause of voltage loss.
The oxygen-reduction reaction is generally slower than the hydrogen-oxidation reaction.
Therefore, catalysts such as platinum may be used.
If the oxygen supply is insufficient or generated water blocks the electrode surface, the oxygen-electrode reaction becomes more difficult and the voltage decreases.
1/2O2 + 2H+ + 2e- → H2O
Example Discussion:
At the oxygen electrode, a reduction reaction occurs in which O2 reacts with H+ and electrons to form H2O.
Because the oxygen-reduction reaction is relatively slow, it is strongly related to voltage loss in the fuel cell.
If the oxygen supply is insufficient or generated water accumulates on the electrode surface, the oxygen-electrode reaction is hindered and the measured voltage is considered to decrease.
Open-Circuit Voltage and Voltage Under Load
Open-circuit voltage is the voltage measured under conditions in which almost no current flows through the external circuit.
It is treated as a value close to the theoretical electromotive force of the fuel cell, but in practice it may be lower than the theoretical value because of gas leakage, fuel crossover, mixed potentials on catalyst surfaces, and other factors.
When a load is connected, current flows and the voltage becomes lower than the open-circuit voltage.
This is because voltage losses arise from delays in electrode reactions, internal resistance, and insufficient fuel or oxygen supply.
To evaluate the performance of a fuel cell, it is necessary to measure not only the open-circuit voltage but also the voltage and current under load.
Example Discussion:
Because almost no current flows under open-circuit conditions, a value close to the ideal electromotive force of the fuel cell is obtained.
However, when a load is connected, current flows and the voltage decreases because of activation overvoltage, internal resistance, and concentration polarization.
Therefore, the voltage under load was lower than the open-circuit voltage because voltage losses occurred inside the fuel cell.
Difference Between Theoretical Electromotive Force and Measured Voltage
The theoretical electromotive force of a hydrogen fuel cell can be determined from the Gibbs energy change of the reaction in which water is produced from hydrogen and oxygen.
Under standard conditions, approximately 1.23 V may be treated as the theoretical value.
However, the voltage measured in an actual fuel cell is often lower than this value even under open-circuit conditions.
Possible reasons why the measured voltage is lower include electrode-reaction overvoltage, internal resistance, purity of the fuel gas, oxygen concentration, temperature, water conditions, membrane condition, and gas leakage.
By discussing the difference between the theoretical and measured values, it is possible to understand how the fuel cell deviates from an ideal state.
Example Discussion:
The theoretical electromotive force of a hydrogen fuel cell is approximately 1.23 V under standard conditions, but the measured voltage was lower than this value.
Possible causes include the overvoltage required for electrode reactions, the internal resistance of the electrolyte membrane and contact points, the slow oxygen-reduction reaction, and imperfect fuel-supply conditions.
Therefore, the measured voltage reflects not only the theoretical value but also losses inside the fuel cell.
Main Causes of Voltage Drop
The main causes of voltage drop in a fuel cell are activation overvoltage, resistance overvoltage, and concentration overvoltage.
Activation overvoltage is the energy loss required to drive the electrode reaction.
Resistance overvoltage is the voltage loss caused by resistance in the electrolyte membrane, electrodes, wires, contact points, and other components.
Concentration overvoltage occurs when the supply of fuel or oxygen cannot keep up with the reaction.
At low current, activation overvoltage is prominent, while resistance loss becomes larger as the current increases.
At still higher current, concentration polarization caused by insufficient fuel or oxygen supply may occur, causing the voltage to decrease rapidly.
By measuring the relationship between current and voltage, it is possible to discuss which type of loss is dominant.
| Type of Voltage Drop | Main Cause | Conditions Where It Commonly Appears |
|---|---|---|
| Activation overvoltage | Difficulty of the electrode reaction | Low-current region |
| Resistance overvoltage | Resistance of membrane, electrodes, and contact points | Medium-current region |
| Concentration overvoltage | Insufficient fuel or oxygen supply | High-current region |
Example Discussion:
The voltage decreased when the load was increased and the current was increased because activation overvoltage, resistance overvoltage, and concentration overvoltage occurred inside the fuel cell.
In the low-current region, losses due to slow electrode reactions are large, while in the medium-current region voltage loss due to internal resistance becomes prominent.
In the high-current region, the supply of hydrogen or oxygen may fail to keep up, causing concentration polarization and a rapid decrease in voltage.
Discussion of Activation Overvoltage
Activation overvoltage is the additional potential difference required to drive an electrode reaction.
Hydrogen-oxidation and oxygen-reduction reactions proceed through catalysts on electrode surfaces.
If the reaction rate is slow, the theoretical potential alone cannot produce sufficient current and an additional voltage loss occurs.
In a fuel cell, the oxygen-reduction reaction is particularly slow, so activation overvoltage tends to be large at the oxygen electrode.
The type and amount of catalyst, electrode surface area, degree of electrode wetting, and temperature affect activation overvoltage.
If the catalyst performance is insufficient, the voltage drop becomes larger.
Example Discussion:
Activation overvoltage can be considered one cause of the voltage drop immediately after current was drawn.
Electrode reactions, particularly the oxygen-reduction reaction, have relatively slow reaction rates and require an additional potential difference to allow sufficient current to flow.
Therefore, the actual fuel cell was considered to produce a voltage lower than the theoretical electromotive force.
Voltage Drop Caused by Internal Resistance
A fuel cell contains resistance in the electrolyte membrane, electrodes, current collectors, wires, contact points, and other components.
When current flows, these resistances cause a voltage drop.
This loss is called resistance overvoltage or ohmic loss.
The voltage drop caused by internal resistance becomes larger as the current increases.
If the electrolyte membrane dries and proton conductivity decreases, or if contact between the electrodes and wires is poor, the internal resistance increases.
In a region where voltage decreases approximately linearly with current, the effect of internal resistance can be considered large.
Voltage drop = I × R
Example Discussion:
If the voltage decreased approximately linearly as the current increased, voltage loss caused by internal resistance can be considered to have had a large effect.
Because the electrolyte membrane, electrodes, and contact points have resistance, a voltage loss corresponding to I × R occurs when current flows.
In particular, if the membrane was dry or the contact resistance was large, the measured voltage may have decreased greatly.
Discussion of Concentration Polarization
Concentration polarization is a voltage drop that occurs when the supply of fuel or oxygen cannot keep up with the rate at which they are consumed at the electrode surface.
When a high current is drawn, hydrogen is rapidly consumed at the fuel electrode and oxygen is rapidly consumed at the oxygen electrode.
If gas supply or diffusion is insufficient, the reactant concentration at the electrode surface decreases and the voltage falls.
Concentration polarization causes a rapid voltage drop in the high-current region.
It is more likely to occur when the gas flow rate is insufficient, the electrode is blocked by water, or the diffusion layer is clogged.
If the voltage drops sharply when the load is increased in an experiment, concentration polarization should be considered.
Example Discussion:
Concentration polarization can be considered a cause of the rapid voltage decrease in the high-current region.
Under high-current conditions, the consumption rates of hydrogen and oxygen increase and their supply to the electrode surface cannot keep up.
As a result, the reactant concentration decreases and the electrode reaction becomes more difficult, causing the voltage to decrease rapidly.
Effect of Water Management
In a hydrogen fuel cell, water is produced as a reaction product.
The electrolyte membrane must remain appropriately moist, but too much water can block the electrodes or gas-diffusion layer and interfere with the supply of oxygen or hydrogen.
Therefore, maintaining an appropriate amount of water is important in a fuel cell.
If the membrane dries, proton conductivity decreases and the internal resistance increases.
On the other hand, if too much water accumulates, a condition called flooding occurs and gas supply is hindered.
Both cases cause a voltage drop.
Example Discussion:
Inadequate water management can be considered one cause of the decrease in fuel-cell voltage over time.
If the electrolyte membrane dries, proton movement becomes difficult and the internal resistance increases.
On the other hand, if too much generated water accumulates on the electrode surface, oxygen or hydrogen supply is hindered and the voltage decreases because of concentration polarization.
Effect of Fuel Supply
In a fuel cell, sufficient hydrogen must be supplied to the fuel electrode.
If the hydrogen supply is insufficient, the oxidation reaction at the fuel electrode becomes more difficult and the voltage decreases when current is drawn.
Under high-load conditions in particular, hydrogen consumption increases, making insufficient supply more likely.
In addition, if impurities are contained in the fuel, the catalyst surface may be poisoned and the reaction rate may decrease.
In small laboratory fuel cells, gas flow rate, leakage from piping, bubbles inside tubes, fuel pressure, and other factors also affect voltage.
Example Discussion:
Insufficient hydrogen supply can be considered one cause of the large voltage drop when a high current was drawn.
If hydrogen is not supplied sufficiently, the oxidation reaction of H2 at the fuel electrode becomes difficult and the supply of electrons required for power generation becomes insufficient.
As a result, concentration polarization may have occurred and the terminal voltage of the fuel cell may have decreased.
Effect of Oxygen Supply
At the oxygen electrode, oxygen is reduced to form water.
When air is used, the oxygen concentration is lower than in pure oxygen, so oxygen supply is more easily limited.
If the oxygen supply is insufficient, the oxygen-reduction reaction becomes more difficult and a voltage drop occurs.
Generated water tends to accumulate at the oxygen electrode and may hinder gas diffusion.
Insufficient oxygen supply is a major cause of rapid voltage drop at high current.
Comparing air supply and pure-oxygen supply makes it possible to discuss the effects of oxygen concentration and diffusion.
Example Discussion:
If the oxygen supply is insufficient, the O2-reduction reaction at the oxygen electrode is limited.
When air is used in particular, the oxygen concentration is low, so under high-current conditions the oxygen supply may fail to keep up with the reaction and voltage drop due to concentration polarization becomes more likely.
In addition, if generated water accumulates at the oxygen electrode, oxygen diffusion is hindered and the voltage drop may become even larger.
How to Determine Output
The output of a fuel cell is determined from the product of voltage and current.
Even if the voltage is high, the output is small when the current is small, and even if the current is large, the output does not increase if the voltage decreases greatly.
Therefore, when evaluating fuel-cell performance, it is necessary to consider output as well as voltage.
When the load resistance is changed, the relationship between current and voltage changes.
In general, there is a load condition at which the output becomes maximum.
By organizing the relationship among voltage, current, and output, it is possible to discuss under which conditions the fuel cell can generate electricity efficiently.
Output P = Voltage V × Current I
Example Discussion:
The output of a fuel cell is expressed as the product of voltage and current.
When the load is increased and the current becomes larger, the voltage decreases, so the output is not determined simply by the current alone.
If the output became maximum under a particular load condition in this experiment, that condition was considered to provide the best balance between voltage drop and current increase.
Concept of Power-Generation Efficiency
Power-generation efficiency is a value indicating how much of the chemical energy possessed by the fuel can be extracted as electrical energy.
In an experiment, it may be determined by comparing the obtained electrical energy with the energy of the consumed hydrogen.
Electrical energy is determined from the product of output and time.
Actual efficiency is lower than theoretical efficiency.
Causes include overvoltage, internal resistance, low fuel utilization, gas leakage, unreacted fuel, and energy lost as heat.
When discussing efficiency, it is easier to organize the discussion by considering voltage efficiency, fuel utilization, Faradaic efficiency, and other factors separately.
Electrical energy = Voltage V × Current I × Time t
Power-generation efficiency = Obtained electrical energy ÷ Chemical energy of fuel × 100
Example Discussion:
Power-generation efficiency is the proportion of the chemical energy of the fuel that was actually extracted as electrical energy.
Possible reasons why the efficiency obtained in the experiment was lower than the theoretical value include overvoltage, internal resistance, insufficient fuel supply, and loss of unreacted fuel.
Therefore, to increase efficiency, voltage losses must be reduced and the fuel must be used efficiently in the electrode reactions.
Discussion of Faradaic Efficiency
Faradaic efficiency is an indicator of how much of the amount of electrons theoretically obtainable from the reaction of the fuel actually flowed through the external circuit.
When 1 mol of hydrogen is oxidized, 2 mol of electrons are produced.
Therefore, the theoretical amount of electricity can be calculated from the amount of hydrogen consumed.
The actual amount of electricity that flowed is determined from the product of current and time.
If the measured quantity of electricity is smaller than the theoretical quantity, possible causes include fuel leakage without being used in the reaction, fuel crossover, side reactions, or measurement errors.
Faradaic efficiency is an indicator for evaluating how much of the fuel was utilized as electric current.
H2 → 2H+ + 2e-
Measured quantity of electricity Q = I × t
Example Discussion:
Because oxidation of 1 mol of hydrogen produces 2 mol of electrons, the theoretical amount of electricity can be determined from the amount of hydrogen consumed.
If the amount of electricity that actually flowed through the external circuit was smaller than the theoretical value, part of the hydrogen may have leaked without being used for power generation or fuel crossover may have occurred.
Therefore, Faradaic efficiency is an indicator showing how effectively the fuel was converted into electric current.
Effect of the Catalyst
In a fuel cell, catalysts are important for accelerating electrode reactions.
Hydrogen-oxidation and oxygen-reduction reactions proceed on catalyst surfaces.
Because the oxygen-reduction reaction is particularly slow, catalysts such as platinum may be used.
When the catalyst functions sufficiently, activation overvoltage becomes smaller and voltage drop can be suppressed.
If the catalyst surface becomes contaminated or poisoned by impurities in the fuel, the reaction rate decreases.
As a result, voltage and current may decrease even under the same fuel-supply conditions.
The type, amount, dispersion state, and surface area of the catalyst are strongly related to fuel-cell performance.
Example Discussion:
Because the electrode reactions of a fuel cell proceed on catalyst surfaces, catalyst performance greatly affects voltage.
The higher the catalyst activity, the more readily hydrogen oxidation and oxygen reduction proceed and the smaller the activation overvoltage becomes.
On the other hand, if the catalyst surface is poisoned by impurities, the reaction rate decreases and the voltage drop is considered to become larger.
Effect of the Electrolyte Membrane
In a polymer electrolyte fuel cell, the electrolyte membrane has the role of allowing H+ to pass through.
Electrons cannot pass through the membrane and instead pass through the external circuit, allowing them to be used as electric current.
The higher the proton conductivity of the electrolyte membrane, the smaller the internal resistance and the more the voltage drop can be suppressed.
When the electrolyte membrane dries, H+ becomes more difficult to transport and the internal resistance increases.
On the other hand, too much water may interfere with gas supply.
The condition of the electrolyte membrane is related to both resistance loss and water management.
Example Discussion:
The electrolyte membrane has the role of transporting H+ from the fuel electrode to the oxygen electrode.
If the membrane dries, proton conductivity decreases and the internal resistance increases, causing a voltage drop.
Therefore, maintaining the electrolyte membrane in an appropriately moist state is important for maintaining fuel-cell performance.
When the Voltage Decreases Over Time
When the voltage of a fuel cell decreases over time, possible causes include insufficient fuel or oxygen supply, accumulation of generated water, drying of the electrolyte membrane, contamination of the catalyst surface, temperature changes, and increased internal resistance.
Because the internal condition of the cell changes during power generation, the initial voltage may differ from the voltage after a certain period.
In small laboratory fuel cells in particular, even slight changes in gas supply or moisture conditions can greatly affect voltage.
If the voltage decreases slowly, drying or fuel consumption may be suspected, whereas if it decreases rapidly, insufficient supply or blockage caused by generated water may be suspected.
Observing the pattern of change over time makes it easier to discuss the cause.
Example Discussion:
Possible causes of the decrease in voltage over time during power generation include insufficient fuel supply, accumulation of generated water, and drying of the electrolyte membrane.
If the electrolyte membrane dries, proton conductivity decreases and the internal resistance increases.
On the other hand, if generated water accumulates on the electrode surface, oxygen or hydrogen supply is hindered and the voltage decreases because of concentration polarization.
Causes of Error in Fuel Cell Experiments
Causes of error in fuel cell experiments include fluctuations in fuel supply, insufficient oxygen supply, gas leakage, poor electrode contact, drying of the electrolyte membrane, accumulation of generated water, differences in catalyst condition, temperature changes, errors in load resistance, reading errors of voltmeters and ammeters, and wiring resistance.
Because reactions, mass transfer, electrical resistance, and water management are all involved simultaneously in fuel cells, multiple factors affect the results.
Causes of low voltage include overvoltage, internal resistance, concentration polarization, fuel shortage, oxygen shortage, membrane drying, and contact resistance.
Causes of low efficiency include losses of unreacted fuel, fuel leakage, heat loss, and errors in measurement time or flow rate.
Organizing the causes according to whether they affect voltage, current, or efficiency makes the discussion more specific.
Example Discussion:
Possible causes of error in the fuel cell experiment include fluctuations in gas supply, drying of the electrolyte membrane, accumulation of generated water, contact resistance, and reading errors of the measuring instruments.
If the hydrogen or oxygen supply is insufficient, concentration polarization occurs and the voltage decreases.
In addition, if the membrane dries, the internal resistance increases and the voltage drop under load may become larger.
When the Results Can Be Considered Good
Fuel cell experimental results can be considered good when a stable open-circuit voltage is obtained by supplying fuel and oxygen, current flows when a load is connected, and the relationships among voltage, current, and output can be theoretically explained.
In addition, if the voltage decreases as the load increases and a maximum appears in the output, this can also be discussed as behavior characteristic of a fuel cell.
Even if the measured voltage is lower than the theoretical electromotive force, the result can be considered reasonable if it can be explained by overvoltage, internal resistance, and concentration polarization.
If efficiency is calculated, it is necessary to confirm whether the calculations of fuel consumption and electrical energy are reasonable.
Example Discussion:
In this experiment, an open-circuit voltage was obtained when hydrogen and oxygen were supplied, and current flowed when a load was connected.
When the load was increased, the current increased but the voltage decreased, confirming that losses due to overvoltage and internal resistance occurred inside the fuel cell.
Although the measured voltage was lower than the theoretical value, the result was considered reasonable because it was consistent with the general causes of voltage loss in fuel cells.
Example Discussions When the Experiment Did Not Go Well
When a fuel cell experiment does not go well, possible causes can be considered from results such as no voltage being produced, low voltage, almost no current flowing, unstable voltage, a rapid decrease over time, or extremely low efficiency.
Organizing the causes according to fuel supply, oxygen supply, electrolyte membrane, electrode contact, wiring, load, and measuring instruments makes the discussion easier.
Example Discussion:
In this experiment, the open-circuit voltage was lower than expected and the voltage decreased greatly when a load was connected.
Possible causes include high contact resistance between the electrodes and wires and reduced proton conductivity because the electrolyte membrane had dried.
In addition, if the oxygen supply was insufficient, the reduction reaction at the oxygen electrode may have been limited, causing a larger voltage drop.
Another Example Discussion:
One possible cause of the rapid decrease in voltage after power generation began is that generated water blocked the electrode surface or gas flow channels and interfered with the supply of oxygen or hydrogen.
In this case, the reactants could not reach the electrode surface sufficiently and concentration polarization increased.
Therefore, stable operation of a fuel cell requires appropriate control of fuel supply and water management.
How to Write Points for Improvement
In a discussion of a fuel cell experiment, writing not only the causes of error but also points for improvement makes the report easier to organize.
Points for improvement can be organized according to gas supply, electrodes and membrane, measurement conditions, and efficiency calculations.
Improvements to Fuel and Oxygen Supply
- Keep the hydrogen supply constant
- Keep the oxygen or air supply constant
- Check for gas leakage
- Securely connect the tubes
- Prevent water from accumulating in the flow channels
- Avoid insufficient reactant supply
Improvements to the Electrodes and Membrane
- Keep the electrolyte membrane in an appropriately moist state
- Ensure close contact between the electrodes and membrane
- Keep the electrode surfaces clean
- Avoid deterioration or contamination of the catalyst surface
- Properly remove generated water
- Reduce contact resistance
Improvements to Measurement and Analysis
- Distinguish between open-circuit voltage and voltage under load
- Record voltage and current simultaneously
- Set the load resistance accurately
- Record changes over time
- Measure fuel consumption accurately
- Use consistent units for electrical energy and fuel energy
- Perform multiple measurements to confirm reproducibility
Example of How to Write Points for Improvement:
To stabilize the voltage of the fuel cell, the supply rates of hydrogen and oxygen must be kept constant and gas leakage or blockage of the flow channels must be prevented.
In addition, the electrolyte membrane should be maintained in an appropriately moist state and good contact with the electrodes should be ensured to reduce internal resistance.
During measurement, it is important to distinguish between open-circuit voltage and voltage and current under load and to record changes over time.
Difference Between a Superficial Discussion and a Good Discussion
In a discussion of a fuel cell experiment, simply writing that “the voltage was low” or “electricity was generated” results in a superficial discussion.
A good discussion relates electrode reactions, electromotive force, overvoltage, internal resistance, concentration polarization, fuel supply, and efficiency.
| Superficial Discussion | Good Discussion |
|---|---|
| A voltage was generated. | H2 was oxidized at the fuel electrode and O2 was reduced at the oxygen electrode, causing electrons to flow through the external circuit and generating a voltage. |
| The voltage was low. | Possible reasons why the measured voltage was lower than the theoretical electromotive force include activation overvoltage of the oxygen-reduction reaction, internal resistance of the electrolyte membrane and contact points, and concentration polarization caused by insufficient fuel supply. |
| The voltage decreased over time. | Drying of the electrolyte membrane or accumulation of generated water may have occurred during power generation, hindering proton conduction or gas supply and increasing internal resistance or concentration polarization. |
| The efficiency was low. | Possible causes of low power-generation efficiency include voltage losses due to overvoltage and internal resistance, losses of unreacted fuel, gas leakage, and reduced fuel utilization. |
Examples of Expressions That Can Be Used in Reports
The following expressions can be used when writing the results and discussion of fuel cell experiments.
Adjust the necessary parts according to your own experimental results.
- In a fuel cell, the oxidation reaction of the fuel and the reduction reaction of oxygen proceed separately.
- In a hydrogen fuel cell, H2 is oxidized at the fuel electrode and O2 is reduced at the oxygen electrode.
- Electric current is obtained because electrons flow through the external circuit.
- The measured voltage is often lower than the theoretical electromotive force.
- Causes of voltage drop include activation overvoltage, internal resistance, and concentration polarization.
- The oxygen-reduction reaction is relatively slow and tends to cause voltage loss.
- If the electrolyte membrane dries, proton conductivity decreases and internal resistance increases.
- If too much generated water accumulates, gas supply is hindered and concentration polarization increases.
- Output is determined from the product of voltage and current.
- Power-generation efficiency can be evaluated from the ratio of the obtained electrical energy to the chemical energy of the fuel.
Points to Check When Discussing Fuel Cell Experiments
Checking the following points before writing the report makes the discussion easier to write.
- Is the principle of the fuel cell explained using redox reactions?
- Are the reactions at the fuel electrode and oxygen electrode distinguished?
- Is the overall reaction of the hydrogen fuel cell written?
- Are open-circuit voltage and voltage under load distinguished?
- Is the difference between theoretical electromotive force and measured voltage explained?
- Is voltage drop organized in terms of overvoltage, internal resistance, and concentration polarization?
- Are the effects of hydrogen supply and oxygen supply considered?
- Are water management factors such as generated water and membrane drying discussed?
- Is the relationship among voltage, current, and output explained?
- Are power-generation efficiency and Faradaic efficiency considered?
- Are causes of error separated into measurement conditions and the internal condition of the fuel cell?
- Do the points for improvement correspond to the causes of error?
Summary
A fuel cell experiment is an experiment in which chemical energy is converted into electrical energy using the oxidation reaction of a fuel such as hydrogen and the reduction reaction of oxygen.
In a hydrogen fuel cell, H2 is separated into H+ and electrons at the fuel electrode, while O2, H+, and electrons react at the oxygen electrode to produce H2O.
Electricity can be generated by extracting this flow of electrons through an external circuit.
The measured voltage is often lower than the theoretical electromotive force, and the causes include activation overvoltage, internal resistance, and concentration polarization.
Insufficient fuel supply, insufficient oxygen supply, drying of the electrolyte membrane, accumulation of generated water, contact resistance, and catalyst condition also affect voltage drop.
Organizing which factors can explain the voltage drop is important in the discussion of a fuel cell experiment.
In a report, rather than simply writing that “electricity was generated” or “the voltage decreased,” organize and discuss the electrode reactions at the fuel and oxygen electrodes, theoretical electromotive force, open-circuit voltage, voltage under load, overvoltage, internal resistance, concentration polarization, water management, output, efficiency, causes of error, and points for improvement.
Fuel cell experiments are important experiments for understanding the connection among redox reactions, electrochemistry, and energy conversion.
