In simple terms
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Investigation of limiting factors
Cambridge 9700 Paper 4 — Investigation of limiting factors (13.2). A-Level Notes diagram-backed lesson with premium structure and live visuals.
- 1
Design and explain experiments to investigate factors limiting the rate of biological processes.
- 2
Interpret graphical data to identify specific limiting factors affecting a process's rate.
- 3
Explain how changes in limiting factors influence the rate of key processes like photosynthesis.
What this topic covers
The official Cambridge syllabus points this lesson works through.
- 13.2.1
State that light intensity, carbon dioxide concentration and temperature are examples of limiting factors of photosynthesis
- 13.2.2
Explain the effects of changes in light intensity, carbon dioxide concentration and temperature on the rate of photosynthesis
- 13.2.3
Describe and carry out investigations using redox indicators, including DCPIP and methylene blue, and a suspension of chloroplasts to determine the effects of light intensity and light wavelength on the rate of photosynthesis
- 13.2.4
Describe and carry out investigations using whole plants, including aquatic plants, to determine the effects of light intensity, carbon dioxide concentration and temperature on the rate of photosynthesis
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Full topic notes
Formal explanation with the rigour you need for the exam.
What are Limiting Factors?
A limiting factor is any environmental condition or resource that, when present in a sub-optimal amount, restricts the rate of a biochemical or physiological process. This is known as the Principle of Limiting Factors. Think of it this way: if you increase all other factors, but this one remains low, the process rate won't increase beyond a certain point. Only by increasing the limiting factor will the rate rise.
Key Limiting Factors in Photosynthesis
The rate of photosynthesis is influenced by several environmental factors. When one of these is in short supply, it becomes the limiting factor. The main factors are:
- Light Intensity: Light provides the energy for the light-dependent stage. As light intensity increases, the rate of photolysis of water and the production of ATP and reduced NADP increase. At low light intensities, there's insufficient ATP and reduced NADP for the light-independent stage (Calvin cycle), so light is the limiting factor.
- Carbon Dioxide Concentration: CO₂ is a substrate for the enzyme RuBisCO in the Calvin cycle. At low CO₂ concentrations, the rate of carbon fixation is slow, limiting the production of glucose, even if light intensity and temperature are optimal.
- Temperature: Photosynthesis involves many enzyme-catalysed reactions (e.g., RuBisCO, ATP synthase). As temperature increases towards the optimum, the kinetic energy of enzymes and substrates increases, leading to more frequent collisions and a higher reaction rate. Beyond the optimum temperature, enzymes begin to denature, their active sites change shape, and the rate of photosynthesis rapidly decreases.
Other factors related to leaf structure can also affect the rate, such as the surface area of the leaf, the number and distribution of stomata, and the thickness of the cuticle, as these influence CO₂ diffusion and light absorption.
Designing Investigations for Limiting Factors
A well-designed experiment is key to identifying limiting factors. The general strategy involves systematically varying one factor (the independent variable) while keeping all other potential limiting factors constant (the controlled variables), and then measuring the rate of the process (the dependent variable).
Key considerations for experimental design:
- Independent Variable: This is the factor you are intentionally changing, e.g., light intensity, CO₂ concentration, or temperature.
- Dependent Variable: This is what you measure to determine the rate of the process. For photosynthesis, examples include:
- Volume of oxygen produced (e.g., collecting bubbles from Elodea or measuring gas with a sensor).
- Rate of carbon dioxide uptake (e.g., using a CO₂ sensor or measuring pH changes in bicarbonate indicator).
- Increase in biomass (less practical for short-term experiments).
- Controlled Variables: All other factors that could influence the rate must be kept constant to ensure a fair test. If you're investigating light intensity, for instance, you must ensure CO₂ concentration and temperature remain unchanged throughout the experiment.
- Replication: Repeat measurements at each independent variable setting to ensure reliability and identify anomalous results. Calculate averages.
- Range: Ensure a sufficient range of independent variable values to observe the full effect, including the point where it becomes limiting and another factor takes over.
Practical Investigation: The Hill Reaction with DCPIP
A common method to investigate the light-dependent stage is using the Hill reaction with a redox indicator like DCPIP (2,6-dichlorophenolindophenol).
Principle: This reaction uses isolated chloroplasts suspended in a solution. In the light-dependent stage, electrons are released from chlorophyll and passed along an electron transport chain, eventually reducing NADP. DCPIP acts as an artificial electron acceptor, taking the place of NADP.
- When oxidised, DCPIP is blue.
- When it accepts electrons and becomes reduced, it turns colourless.
The rate at which DCPIP loses its blue colour is a measure of the rate of the light-dependent reactions.
Experimental Setup:
- Independent Variable: The factor being investigated, e.g., light intensity (varied by changing the distance of a lamp from the sample) or light wavelength (using different coloured filters).
- Dependent Variable: The rate of DCPIP reduction. This can be measured quantitatively using a colorimeter to record the change in absorbance over time, or qualitatively by timing how long it takes for the blue colour to disappear.
- Controlled Variables: It's crucial to control other factors. These include:
- Temperature (using a water bath).
- Volume and concentration of chloroplast suspension.
- Volume and concentration of DCPIP solution.
- pH of the solution (using a buffer).
- Source and age of chloroplasts (use chloroplasts from the same plant species and preparation).
Interpreting Results and Identifying Limiting Factors
The most common way to present and interpret data from these investigations is through graphs. Typically, the independent variable is plotted on the x-axis and the rate of the process (dependent variable) on the y-axis.
Characteristics of a limiting factor graph:
- Initial linear increase: As you increase the independent variable, the rate of the process increases proportionally. In this region, the independent variable is the limiting factor.
- Plateau phase: At a certain point, despite further increases in the independent variable, the rate of the process stops increasing and levels off. This indicates that the original independent variable is no longer limiting; instead, another factor (a controlled variable) has now become the limiting factor.
Application: Maximising Crop Yields in Glasshouses
Understanding limiting factors is crucial for commercial agriculture, especially in controlled environments like glasshouses, to maximise plant growth and crop yield.
By managing environmental conditions, growers can ensure photosynthesis occurs at the highest possible rate:
- Artificial Lighting: Using lamps allows photosynthesis to continue beyond daylight hours or on cloudy days. Specific wavelengths of light (red and blue) that are most effectively absorbed by chlorophyll can be used to further boost the rate.
- Heating: Glasshouses can be heated to maintain the plant's optimum temperature for photosynthesis, especially during colder months. This ensures photosynthetic enzymes work at their maximum efficiency.
- Carbon Dioxide Enrichment: The concentration of CO₂ in the atmosphere is relatively low (around 0.04%). In a sealed glasshouse, this can be quickly used up. Therefore, CO₂ is often added (e.g., by burning propane or using compressed CO₂ gas) to increase the concentration to a higher, non-limiting level (e.g., 0.1%), which significantly increases the rate of photosynthesis.
Worked examples
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An experiment was set up to investigate the effect of light intensity and carbon dioxide concentration on the rate of photosynthesis in Elodea. The rate of photosynthesis was measured by counting the number of oxygen bubbles produced per minute. The results are shown in the graph below.
[A graph shows Rate of O₂ production vs. Light intensity. Two curves are plotted: 'High CO₂' and 'Low CO₂'. Both start at the origin. The 'Low CO₂' curve increases and then plateaus at a lower rate. The 'High CO₂' curve increases more steeply and plateaus at a much higher rate.]
With reference to the graph:
(a) Describe the effect of increasing light intensity on the rate of photosynthesis at low carbon dioxide concentration. (b) Explain why the rate of photosynthesis at high carbon dioxide concentration is higher than at low carbon dioxide concentration, especially at high light intensities. (c) Identify the limiting factor(s) in the region where the graph for 'High CO₂' concentration plateaus. Justify your answer.
- 1
(a) Description: At low carbon dioxide concentration, as light intensity increases from zero, the rate of photosynthesis initially increases proportionally. However, the rate levels off (plateaus) at a relatively low light intensity. Beyond this point, further increases in light intensity do not cause an increase in the rate of photosynthesis.
An experiment was conducted to investigate the effect of light on the rate of the light-dependent stage of photosynthesis using DCPIP. Isolated chloroplasts were suspended in a buffered solution with DCPIP and exposed to a high, constant light intensity. The absorbance of the solution was measured at 600 nm every 30 seconds using a colorimeter. The results are shown in the table.
| Time (s) | Absorbance at 600 nm |
|---|---|
| 0 | 0.80 |
| --- | --- |
| 30 | 0.65 |
| 60 | 0.50 |
| 90 | 0.35 |
| 120 | 0.20 |
| 150 | 0.10 |
| 180 | 0.10 |
(a) Calculate the initial rate of reaction in absorbance units per second. (b) Explain why the absorbance stops decreasing after 150 seconds.
- 1
(a) Calculating the Initial Rate: The initial rate of reaction is the gradient of the initial, linear portion of the curve when absorbance is plotted against time. We can calculate this from the table.
How it all connects
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Glossary
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Revision flashcards
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What is the principle of limiting factors?
The rate of a physiological process that depends on several factors is limited by the factor that is in shortest supply.
Key takeaways
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- ✓
Design and explain experiments to investigate factors limiting the rate of biological processes.
- ✓
Interpret graphical data to identify specific limiting factors affecting a process's rate.
- ✓
Explain how changes in limiting factors influence the rate of key processes like photosynthesis.
Practice — then mark it
The whole point: a real Cambridge question, marked mark-by-mark.
9700/42 · Q6(b)(i)
State two variables that need to be kept constant in this experiment.
9700/41 · Q4(e)
Scientists claim that the artificial photosynthesis process shown in Fig. 4.1 is more efficient at converting light energy into food than normal photosynthesis by crop plants. Give reasons why this claim may or may not be true.
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