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1.4.2 Factors affecting the rate of photosynthesis

Measuring the rate of photosynthesis

  1. The rate of photosynthesis is the amount of product a plant makes in a given time, and it is what changes when the conditions change.
  2. The most convenient thing to measure is the oxygen given off, because it is a gas and comes off a water plant as visible bubbles.
  3. The rate can be worked out as rate=volume of oxygentime\text{rate} = \dfrac{\text{volume of oxygen}}{\text{time}}rate=timevolume of oxygen​, giving units such as cm3 min−1\text{cm}^3\ \text{min}^{-1}cm3 min−1.
  4. Counting bubbles per minute is quicker but less precise, because bubbles vary in size and a large one carries far more gas than a small one.
  5. Two other measures are possible: the volume of carbon dioxide used up, and the increase in dry mass of the plant over a longer period.
  6. Whichever measure is used, the plant is also respiring, so what you actually record is the net effect of photosynthesis minus respiration.
  7. In bright light photosynthesis is so much faster than respiration that this correction hardly matters, but in dim light it does.
  8. Pondweed such as Elodea or Cabomba is used because it lives underwater, so the oxygen it releases collects as bubbles instead of escaping into the air.
Practical

Measuring the effect of light intensity on the rate

  • Aim: to find out how the rate of photosynthesis in pondweed changes as light intensity changes.
  • Apparatus: a fresh piece of pondweed, a boiling tube or large syringe barrel, sodium hydrogencarbonate solution, a large beaker of water, a bright lamp, a metre rule, a capillary tube or gas syringe with a short length of tubing, a thermometer, a stopwatch and a clamp stand.
  • Variables: light intensity is the independent variable, the volume of oxygen released per minute is the dependent variable, and the temperature, the carbon dioxide concentration, the piece of pondweed and the length of each timed run are controlled.
  • Method, setting up:
    • Cut a healthy piece of pondweed and stand it in the boiling tube with the freshly cut end pointing upwards, because that is where the gas escapes.
    • Fill the tube with sodium hydrogencarbonate solution, which releases carbon dioxide steadily so the supply never runs short during the experiment.
    • Stand the tube inside a large beaker of water and clamp it upright; the water acts as a heat shield and absorbs the heat from the lamp so the temperature stays constant.
    • Put a thermometer in the beaker and check it at every distance, since a rise in temperature would change the rate on its own.
    • Connect the top of the tube to a capillary tube or gas syringe so the gas given off can be collected and its volume measured.
  • Method, taking readings:
    • Place the lamp at a measured distance from the tube, starting close to it, and measure the distance to the pondweed itself rather than to the beaker.
    • Leave the pondweed for about five minutes so that it settles to a steady rate at that light intensity before you start timing.
    • Collect the gas for a fixed time such as five minutes, then measure the length of the gas column or read the syringe volume.
    • Repeat the reading at least three times at that distance and calculate a mean, investigating any anomalous result rather than deleting it.
    • Move the lamp to the next distance and repeat, using at least five or six distances across a wide range.
    • Take a final reading with the lamp switched off and the tube covered, which gives the rate in darkness as a baseline.
  • Results: the rate is highest with the lamp closest and falls as the lamp is moved further away, dropping to zero when no light reaches the plant.
  • Maths: convert each distance ddd into a relative light intensity using I∝1d2I \propto \dfrac{1}{d^2}I∝d21​, then plot rate against 1d2\dfrac{1}{d^2}d21​ rather than against distance so the relationship comes out clearly.
  • Watch out: the room lights and daylight also reach the pondweed, so the experiment works best in a darkened room. A piece of pondweed that has been cut for too long stops bubbling reliably, so use a fresh piece. Gas can dissolve back into the solution if you leave a long gap before measuring, and the first bubbles after a change in conditions are often uneven, which is why the settling period matters.
  • Safety: keep the lamp and its cable away from the water, let a hot lamp cool before moving it, and wash your hands after handling pondweed and hydrogencarbonate solution.

The effect of light intensity

Definition

Inverse square law

The rule that the intensity of light from a source is proportional to one divided by the square of the distance from that source.

  1. Light supplies the energy for the first stage of photosynthesis, in which water is split to release the hydrogen the second stage needs.
  2. Raising the light intensity means more energy is absorbed by the chlorophyll each second, so water is split faster and glucose is built faster.
  3. In the dark the rate is zero, because no water is being split, and the only gas exchange you can measure is the plant respiring.
  4. At low light intensities the rate is roughly proportional to the light intensity, so doubling the intensity roughly doubles the rate.
  5. As the intensity keeps rising the line begins to level off, because light is no longer the factor holding the rate back.
  6. Light intensity is hard to measure directly in a school laboratory, so the distance from a lamp is used instead.
  7. Light spreads out as it travels, so the inverse square law applies: I∝1d2I \propto \dfrac{1}{d^2}I∝d21​, where ddd is the distance from the lamp.
  8. Because the distance is squared, doubling the distance cuts the intensity to a quarter, not to a half.
  9. Plotting the rate against 1d2\dfrac{1}{d^2}d21​ rather than against ddd is therefore what reveals the real relationship.
Example

Turning distances into relative light intensities

  • A lamp is placed at 10 cm10\ \text{cm}10 cm, 20 cm20\ \text{cm}20 cm and 50 cm50\ \text{cm}50 cm from a tube of pondweed.
  • At 10 cm10\ \text{cm}10 cm the relative intensity is 1102=1100=0.0100\dfrac{1}{10^2} = \dfrac{1}{100} = 0.01001021​=1001​=0.0100.
  • At 20 cm20\ \text{cm}20 cm it is 1202=1400=0.0025\dfrac{1}{20^2} = \dfrac{1}{400} = 0.00252021​=4001​=0.0025, which is a quarter of the value at 10 cm10\ \text{cm}10 cm.
  • At 50 cm50\ \text{cm}50 cm it is 1502=12500=0.0004\dfrac{1}{50^2} = \dfrac{1}{2500} = 0.00045021​=25001​=0.0004, so moving the lamp five times further away cuts the intensity to a twenty-fifth.
  • Those three values, not 101010, 202020 and 505050, are what belong on the horizontal axis of the graph.

The effect of carbon dioxide concentration

  1. Carbon dioxide is a raw material, and it is used in the second stage of photosynthesis where it is joined with hydrogen to build glucose.
  2. Raising the carbon dioxide concentration means more molecules reach the chloroplasts each second, so more glucose can be assembled.
  3. The air contains only about 0.04%0.04\%0.04% carbon dioxide, which is a very small proportion, so carbon dioxide is often the factor holding the rate back on a warm bright day.
  4. The rate rises steeply as the concentration is increased from a low value, because every extra molecule that arrives can be used.
  5. The line then levels off, because the chloroplasts cannot process carbon dioxide any faster once light or temperature has become the limit.
  6. Carbon dioxide has to reach the mesophyll cells by diffusion through the stomata, so anything that closes the stomata also slows photosynthesis.
  7. A plant short of water closes its stomata to save it, which cuts the carbon dioxide supply and is one reason drought reduces growth.
Note
  • Sodium hydrogencarbonate solution is used in rate experiments precisely because it keeps the carbon dioxide concentration high and steady.
  • A tube of pondweed left in still water can run its carbon dioxide down, which makes the rate fall for a reason that has nothing to do with the light.

The effect of temperature

Definition

Optimum temperature

The temperature at which an enzyme-controlled process works at its fastest rate.

Definition

Denaturation

The permanent change in the folded shape of a protein, caused by a high temperature or an extreme pH, which stops the protein working.

  1. Every step of photosynthesis is controlled by an enzyme, so temperature affects the rate in the same way it affects any enzyme-controlled reaction.
  2. Raising the temperature gives the enzymes and their substrates more kinetic energy, so they move faster and collide more often.
  3. More frequent collisions with enough energy to react means more successful reactions per second, so the rate rises.
  4. The rate keeps rising until the optimum temperature is reached, which is the temperature at which the process runs fastest.
  5. Above the optimum the rate falls sharply, because the enzymes begin to denature as the bonds holding their folded shape are broken.
  6. A denatured enzyme has an active site that no longer fits its substrate, so it stops catalysing its step and the whole pathway slows.
  7. For most plants the optimum is somewhere around 25 ∘C25\ ^\circ\text{C}25 ∘C to 30 ∘C30\ ^\circ\text{C}30 ∘C, and denaturation becomes serious above roughly 40 ∘C40\ ^\circ\text{C}40 ∘C to 45 ∘C45\ ^\circ\text{C}45 ∘C.
  8. At low temperatures nothing is denatured, so the rate is slow but recovers as soon as the plant is warmed again.
  9. That difference is what makes the temperature graph asymmetrical: it climbs to a peak and then drops away steeply, rather than levelling off.
Common Mistake
  • Do not write that enzymes are killed at high temperature, because an enzyme is a molecule and the correct word is denatured.
  • Do not describe the temperature graph as a plateau, because the rate falls away above the optimum instead of staying level.
  • Do not say that a cold plant has been damaged, since a low temperature only slows the enzymes and the effect is reversible.
  • Do not use the word optimum to mean the hottest temperature tested, because it means the temperature that gives the fastest rate.

The shape of a single-factor graph

Definition

Limiting factor

The factor in shortest supply at a given moment, which is holding the rate of a process back so that only increasing that factor increases the rate.

  1. A graph of rate against light intensity or against carbon dioxide concentration has the same two-part shape.
  2. The first part is a steep straight rise, and along that stretch the factor on the horizontal axis is the limiting factor.
  3. The gradient of that straight stretch tells you how much extra rate each extra unit of that factor buys.
  4. The second part is a plateau, where the line runs flat and adding more of that factor changes nothing at all.
  5. A plateau means the factor on the axis has stopped being the limiting one, and something else is now holding the rate back.
  6. The point where the line stops rising and starts to flatten is therefore the point at which the limiting factor changes over.
  7. A graph of rate against temperature looks different, rising to a peak at the optimum and then falling, because the enzymes are being denatured rather than simply working at full stretch.
  8. Reading the rate from any of these graphs means finding the value on the vertical axis, and finding a rate of change means taking a gradient.
Exam technique

Explaining an effect on the rate

  • Say what the factor is used for before you say what happens, for example that light splits water or that carbon dioxide is a raw material.
  • Use the words rate of photosynthesis rather than amount, because a rate is a quantity per unit time.
  • Explain a plateau by naming a factor that has become limiting instead of writing that the rate stays the same.
  • Explain a fall above the optimum through denaturation and the change in the shape of the active site.
  • Convert distances to 1d2\dfrac{1}{d^2}d21​ before you comment on a light-intensity result, because a comment about distance alone is the wrong quantity.
  • Quote a value with its unit when you read a graph, since a bare number is often not credited.
Self review
  • State two things that could be measured to find the rate of photosynthesis in pondweed.
  • Explain why measuring the volume of gas is more precise than counting bubbles.
  • Calculate the relative light intensity at a distance of 25 cm25\ \text{cm}25 cm from a lamp.
  • Explain why the rate of photosynthesis falls at temperatures above the optimum.
  • Explain why the rate rises steeply and then plateaus on a graph of rate against carbon dioxide concentration.
  • Explain why a beaker of water is placed between the lamp and the pondweed.
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The rate of photosynthesis is the amount of product made per unit time. In pondweed, the most convenient product to measure is oxygen, because it is released as visible bubbles underwater.

The rate can be calculated using:

rate=volume of oxygentime \text{rate} = \frac{\text{volume of oxygen}}{\text{time}} rate=timevolume of oxygen​

A suitable unit is cm3 min−1\text{cm}^3\ \text{min}^{-1}cm3 min−1. Measuring gas volume is more precise than counting bubbles because bubbles are not all the same size.

A plant also respires, so the measured result is usually the net effect of photosynthesis minus respiration. In dim light, respiration makes a more noticeable difference to the result.

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How is photosynthesis rate calculated from oxygen production?

1.4.2 Factors affecting the rate of photosynthesis Revision Guide

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Revision notes for OCR GCSE Biology 1.4.2 Factors affecting the rate of photosynthesis: explanations and worked examples.

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