Mode of Action of Enzymes

AS · 23 min

Almost every reaction in a living cell would be far too slow to keep the cell alive if it were not catalysed by an enzyme. Enzymes are proteins whose precise shape lets them bind one particular substrate and speed up its reaction without being used up. This note explains how they do it: the active site, the enzyme–substrate complex, the two hypotheses of how substrate and enzyme fit together, and the lowering of activation energy. It also covers how to follow the progress of an enzyme-catalysed reaction in the laboratory, which is examined in Paper 3 and in data questions on Paper 2.

Enzymes are globular proteins

Definition

An enzyme is a globular protein that acts as a biological catalyst: it increases the rate of a metabolic reaction without itself being permanently changed or used up at the end of the reaction.

Because an enzyme is a globular protein, everything in Proteins applies to it. Its polypeptide chain (or chains) is folded into a precise tertiary structure held by hydrogen bonds, ionic bonds, disulfide bonds and hydrophobic interactions. Hydrophilic R groups on the outside make it soluble, so it can work in the watery cytoplasm or in body fluids.

Enzymes work in two places:

  • Intracellular enzymes catalyse reactions inside cells. Examples: catalase, which breaks down toxic hydrogen peroxide in liver and many other cells; DNA polymerase in the nucleus; the enzymes of respiration in the cytoplasm and mitochondria; ATP synthase on the inner mitochondrial membrane.
  • Extracellular enzymes are made inside cells, secreted (by exocytosis) and catalyse reactions outside the cells that made them. Examples: amylase in saliva and pancreatic juice, which hydrolyses starch to maltose; trypsin and lipase in the small intestine; enzymes secreted by fungi to digest their food externally.

Extracellular enzymes are made on ribosomes on the rough endoplasmic reticulum and packaged by the Golgi body into secretory vesicles (see Eukaryotic cells).

The active site and specificity

Only a small part of an enzyme takes part in catalysis. This region, usually a cleft or pocket on the surface of the molecule, is the active site.

Definition

The active site is the region of an enzyme, made of a small number of amino acids, to which the substrate binds and where the reaction is catalysed. Its shape (and the charges on its R groups) is complementary to the shape of the substrate.

The active site is formed by the folding of the polypeptide, so its shape depends directly on the enzyme's tertiary structure, which in turn depends on its primary structure (amino acid sequence). Amino acids that are far apart in the primary structure can lie side by side in the active site after folding.

Because the active site has a specific shape, each enzyme can bind only one substrate, or a small group of substrates with very similar shapes. This is enzyme specificity. For example, amylase hydrolyses the α-1,4 glycosidic bonds in starch but cannot hydrolyse the β-1,4 bonds in cellulose, even though both are glycosidic bonds between glucose molecules: the shape of the substrate is different.

The enzyme–substrate complex

Catalysis happens in a sequence of steps:

  1. The enzyme and substrate molecules move about randomly and collide.
  2. If the substrate collides with the active site in the right orientation, it binds to the active site, held by temporary bonds (hydrogen bonds and ionic interactions) with R groups in the active site. This forms an enzyme–substrate complex (ES complex).
  3. The reaction takes place: bonds in the substrate are broken (or new bonds formed between two substrates), forming an enzyme–product complex (EP complex).
  4. The products have a different shape from the substrate, so they no longer fit the active site and are released.
  5. The enzyme is unchanged and its active site is free to bind another substrate molecule.
Key result
E+S⟶ES⟶EP⟶E+P\text{E} + \text{S} \longrightarrow \text{ES} \longrightarrow \text{EP} \longrightarrow \text{E} + \text{P}

E = enzyme, S = substrate, ES = enzyme–substrate complex, EP = enzyme–product complex, P = product(s).

Because the enzyme is released unchanged, a small number of enzyme molecules can catalyse the conversion of a very large number of substrate molecules. The number of substrate molecules converted per second by one enzyme molecule is called the turnover number; for catalase it is about 40 million per second, one of the highest known.

Lock-and-key and induced-fit hypotheses

Two models explain how the substrate fits the active site. You must be able to describe both and say why the second is now preferred.

The lock-and-key hypothesis

The lock-and-key hypothesis says that the active site has a fixed, rigid shape that is exactly complementary to the substrate, just as only one key fits a lock. The substrate (key) fits the active site (lock) precisely, forming an ES complex.

This explains specificity well, but it treats the enzyme as rigid. Evidence shows that enzyme molecules are flexible and that the active site changes shape when the substrate binds.

The induced-fit hypothesis

The induced-fit hypothesis says that the active site is not exactly complementary to the substrate before binding. When the substrate enters, the active site (and sometimes the whole enzyme) changes shape slightly to mould itself around the substrate, so that it fits more closely. The substrate "induces" the fit.

This change of shape:

  • brings catalytic R groups in the active site into exactly the right positions;
  • puts strain on bonds in the substrate, distorting them so they break more easily;
  • explains why some molecules that resemble the substrate can bind but are not converted (the active site does not change shape correctly around them);
  • explains how one enzyme can act on a small range of related substrates.
FeatureLock-and-keyInduced fit
Shape of active site before bindingrigid; exactly complementary to substrateflexible; roughly complementary to substrate
What happens when substrate bindssubstrate slots in; no change in enzyme shapeactive site changes shape to fit substrate more closely
How bonds in substrate are weakenednot explained wellchange of shape distorts/strains bonds in substrate
Explains specificity?yesyes
Explains a small range of substrates?poorlyyes
Current statussimple model; useful starting pointsupported by evidence; preferred model
Watch out
  • The active site is complementary to the substrate, not "the same shape as" the substrate. Writing "same shape" is a common lost mark.
  • In the induced-fit model it is the enzyme's active site that changes shape, not the substrate that "changes to fit". (The substrate's bonds are strained, but the moulding is done by the enzyme.)
  • An enzyme does not "die" or get "killed"; it is denatured. And enzymes are not alive.

Lowering the activation energy

For any reaction to happen, the reacting molecules must gain a minimum amount of energy to break or weaken existing bonds. This energy barrier is the activation energy. In the body, at around 37 ∘C37\ ^\circ\text{C}, very few molecules have enough kinetic energy to overcome a high activation energy, so uncatalysed reactions are extremely slow.

Definition

The activation energy is the minimum energy that must be supplied to reactant molecules for a reaction to take place. Enzymes lower the activation energy of the reactions they catalyse.

y = 6 - 1.5(1 + tanh(1.2(x - 5))) + 3.5exp(-(x - 5)^2/1.5) y = 6 - 1.5(1 + tanh(1.2(x - 5))) + 1.8exp(-(x - 5)^2/1.5) (1, 6) -> (1, 8)

(Horizontal axis: progress of reaction; vertical axis: energy. The reactants start at an energy level of 6 and the products end at 3. The taller curve is the uncatalysed reaction, with an activation energy shown by the arrow from the reactant level to the top of the barrier. The lower curve is the same reaction catalysed by an enzyme: the barrier is much lower, so the activation energy is smaller. The overall energy change, reactants to products, is the same in both.)

The enzyme lowers the activation energy because, in the ES complex:

  • two substrate molecules are held close together in the correct orientation, so they react more easily than if they had to meet by chance with enough energy;
  • the change in shape on binding (induced fit) strains bonds in the substrate, making them easier to break;
  • charged or polar R groups in the active site create a microenvironment that favours the reaction, for example by donating or accepting H+\text{H}^+.

The result is that, at the same temperature, a far greater proportion of molecules can react, so the rate increases enormously. The enzyme does not change the overall energy change of the reaction, and it does not change the products formed.

Explaining specificity (routine, 4 marks)

Explain why amylase can hydrolyse starch but cannot hydrolyse protein.

Solution
  1. Amylase has an active site with a specific shape, determined by its tertiary structure.
  2. The active site is complementary to the shape of starch (the α-1,4 glycosidic bond region).
  3. Starch can bind to the active site to form an enzyme–substrate complex, so the glycosidic bonds are hydrolysed.
  4. Protein has a different shape, so it is not complementary and cannot bind / no ES complex forms (so its peptide bonds are not hydrolysed).

Following the progress of an enzyme-catalysed reaction

The rate of an enzyme-catalysed reaction can be measured in two ways:

  • the rate of formation of a product, for example oxygen from hydrogen peroxide (catalase);
  • the rate of disappearance of a substrate, for example starch hydrolysed by amylase.

Either way, you get a progress curve: the amount of product (or substrate) against time.

y = 40(1 - exp(-0.03x)) (0, 0) -- (36, 43.2) (0, 9.1) -- (70, 43.2) (0, 40) -- (120, 40)

(Horizontal axis: time / s; vertical axis: volume of oxygen collected / cm³. The curve is steepest at the start and levels off at 40 cm³ when all the hydrogen peroxide has been broken down. The line through the origin is the tangent at t=0t = 0, whose gradient is the initial rate. The other straight line is the tangent at t=30 st = 30\ \text{s}, which is less steep.)

The shape of the progress curve has an explanation that examiners ask for repeatedly:

  1. At the start the substrate concentration is highest. There are many collisions between substrate and active sites, so many ES complexes form per unit time and the rate is fastest. The curve is steepest.
  2. As the reaction proceeds substrate is used up, so its concentration falls. There are fewer successful collisions and fewer ES complexes per unit time, so the rate falls. The gradient decreases.
  3. The curve levels off (plateaus) when all the substrate has been used up. No more product forms. The enzyme is still active: it simply has nothing left to act on.

The final amount of product depends only on the amount of substrate at the start, not on the amount of enzyme.

Key result

Rate from a progress curve

  • Mean rate over an interval =change in amount of producttime taken= \dfrac{\text{change in amount of product}}{\text{time taken}}.
  • Rate at an instant = gradient of the tangent to the curve at that time.
  • Initial rate = gradient of the tangent at t=0t = 0. Initial rates are used to compare conditions because at the start the substrate concentration is known and the same in every experiment, and no product has built up.
  • When the time taken to reach an end point is measured instead, rate=1time\text{rate} = \dfrac{1}{\text{time}} (units s−1\text{s}^{-1}).
Finding a rate with a tangent
  1. Choose the time at which you want the rate (for the initial rate, t=0t = 0).
  2. With a ruler, draw a straight line that touches the curve at that point only, following the direction of the curve there. For the initial rate, the line passes through the origin and follows the first, straight part of the curve.
  3. Extend the tangent to make a large triangle, at least half the size of the grid.
  4. Read two points on the tangent that are far apart. Calculate gradient=ΔyΔx\text{gradient} = \dfrac{\Delta y}{\Delta x}.
  5. Give the rate with units, e.g. cm3 s−1\text{cm}^3\ \text{s}^{-1}.
Rates from a catalase progress curve (moderate)

Catalase was added to hydrogen peroxide and the oxygen collected in a gas syringe.

Time / s0102030406080100120
Volume of oxygen / cm³0.010.418.023.728.033.436.438.038.9

(a) Calculate the mean rate of oxygen production over the first 60 s. (b) A student drew a tangent to the curve at t=0t = 0. It passed through (0,0)(0, 0) and (30,36)(30, 36). Calculate the initial rate. (c) A tangent at t=30 st = 30\ \text{s} passed through (0,9.1)(0, 9.1) and (70,43.2)(70, 43.2). Calculate the rate at 30 s and explain why it is lower than the initial rate.

Solution

(a) Mean rate =33.4−060=0.56 cm3 s−1= \dfrac{33.4 - 0}{60} = 0.56\ \text{cm}^3\ \text{s}^{-1}.

(b) Initial rate =36−030−0=1.2 cm3 s−1= \dfrac{36 - 0}{30 - 0} = 1.2\ \text{cm}^3\ \text{s}^{-1}.

(c) Rate =43.2−9.170−0=34.170=0.49 cm3 s−1= \dfrac{43.2 - 9.1}{70 - 0} = \dfrac{34.1}{70} = 0.49\ \text{cm}^3\ \text{s}^{-1}.

It is lower because hydrogen peroxide has been used up, so its concentration is lower; there are fewer collisions between substrate and active sites, so fewer enzyme–substrate complexes form per second.

Note that the mean rate over 60 s is less than half the initial rate: a mean over a long interval underestimates the initial rate, which is why tangents (or very short intervals) are used.

Catalase: measuring product formation

Catalase catalyses the breakdown of hydrogen peroxide, a toxic by-product of metabolism:

2H2O2⟶2H2O+O22\text{H}_2\text{O}_2 \longrightarrow 2\text{H}_2\text{O} + \text{O}_2

The oxygen can be measured by:

  • collecting it in a gas syringe, or over water in an inverted measuring cylinder, and recording the volume at regular intervals;
  • counting bubbles per minute (less precise: bubbles vary in size);
  • the floating disc method: filter-paper discs soaked in catalase sink in hydrogen peroxide solution, then rise as oxygen bubbles form on them. The time for a disc to rise is measured and rate=1/t\text{rate} = 1/t.

Sources of catalase include potato, liver, celery and yeast suspension.

Amylase: measuring substrate disappearance

Amylase hydrolyses starch to maltose. Starch gives a blue-black colour with iodine in potassium iodide solution, and the colour disappears as starch is hydrolysed. The progress of the reaction can be followed by:

  • Sampling onto a spotting tile: at regular intervals (e.g. every 30 s), a drop of the reaction mixture is added to a drop of iodine solution on a white tile. The time at which the drop no longer turns blue-black (it stays orange-brown) is the time when all the starch has gone, called the achromic point. Rate =1/t= 1/t.
  • Using a colorimeter to measure the decrease in the intensity of the blue-black colour.

Using a colorimeter

A colorimeter measures how much light of a chosen wavelength is absorbed by a coloured solution. The more concentrated the coloured substance, the higher the absorbance (and the lower the transmission). This turns a subjective colour judgement into a number.

Using a colorimeter to follow an enzyme reaction
  1. Select a filter (or wavelength) of a colour complementary to the solution, so that it is absorbed strongly. For blue-black starch–iodine, use a red or orange filter.
  2. Zero (calibrate) the colorimeter with a blank: a cuvette containing everything except the coloured substance (e.g. water plus iodine solution). Set absorbance to 0.
  3. Make a calibration curve: measure the absorbance of a series of known starch concentrations, each mixed with the same volume of iodine solution, and plot absorbance against concentration.
  4. At timed intervals, remove a sample of the reaction mixture into a tube of dilute acid (the low pH denatures amylase and stops the reaction), add a standard volume of iodine solution and measure the absorbance.
  5. Use the calibration curve to convert each absorbance into a starch concentration, and plot concentration against time.
  6. Keep the cuvettes clean and handle them by the ridged sides; always place them in the same orientation.

Colorimeters are also used with Benedict's solution (measuring the remaining blue colour, or the colour of the filtrate), and with other reactions that produce or remove a colour.

Colorimeter calibration (moderate)

A calibration curve for starch–iodine was made:

Starch concentration / %0.00.20.40.60.81.0
Absorbance0.000.180.360.550.720.90

Amylase was added to 1.0% starch. After 2.0 minutes a sample gave an absorbance of 0.45.

(a) Use the calibration data to find the starch concentration in the sample. (b) Calculate the mean rate of starch hydrolysis in % per minute. (c) Explain why the colorimeter was zeroed with iodine solution and water.

Solution

(a) Absorbance 0.45 lies midway between 0.36 (0.4%) and 0.55 (0.6%): about 0.5%0.5\%. (The calibration line is almost straight: 0.45/0.90×1.0=0.50%0.45 / 0.90 \times 1.0 = 0.50\%.)

(b) Starch hydrolysed =1.0−0.5=0.5%= 1.0 - 0.5 = 0.5\% in 2.0 min. Rate =0.5/2.0=0.25% min−1= 0.5 / 2.0 = 0.25\%\ \text{min}^{-1}.

(c) So that any absorbance due to the iodine solution itself (it is orange-brown) or the cuvette is set to zero; the reading then measures only the absorbance due to the starch–iodine complex.

Practical skills

Investigating catalase activity (product formation)

  • Apparatus: conical flask with bung and delivery tube, gas syringe (or inverted measuring cylinder in a trough of water), stopwatch, syringes for measuring volumes, potato or yeast suspension, hydrogen peroxide solution, thermostatically controlled water bath.
  • Method: equilibrate the enzyme and substrate separately at the chosen temperature for about 5 minutes. Add a measured volume of catalase extract to a measured volume of hydrogen peroxide, insert the bung immediately and start the clock. Record the volume of oxygen every 10 or 15 s. Repeat at least three times and calculate a mean.
  • Standardised variables: volume and concentration of hydrogen peroxide; volume and concentration (source, mass) of enzyme extract; temperature; pH (use a buffer); size of flask.
  • Control: boiled (denatured) enzyme extract with hydrogen peroxide, to show that oxygen release is due to the enzyme and not to spontaneous breakdown.
  • Sources of error: oxygen escapes before the bung is inserted; gas syringe plunger sticks; oxygen dissolves in water if collected over water; potato pieces vary in surface area and catalase content; hydrogen peroxide decomposes slowly on standing (use fresh solution).
  • Improvements: use a gas syringe rather than counting bubbles; use a yeast suspension of known concentration rather than potato pieces; inject the enzyme through a rubber seal so the flask is sealed from the start; data logger with oxygen sensor.
  • Safety: hydrogen peroxide is an irritant (corrosive at higher concentrations): wear eye protection.
Practical skills

Investigating amylase activity (substrate disappearance)

  • Add a measured volume of amylase solution to a measured volume of starch solution (both pre-equilibrated in a water bath, with buffer) and start the clock.
  • Every 30 s, transfer one drop of the mixture to a fresh drop of iodine solution on a spotting tile.
  • Record the first time at which the iodine stays orange-brown (no blue-black). This is the achromic point. Rate =1/t= 1/t.
  • Limitations: the end point is judged by eye (subjective); the sampling interval limits the resolution (if you sample every 30 s the true time could be up to 30 s earlier); the colour may fade gradually. Improvements: shorter sampling intervals; compare with a colour standard; use a colorimeter.
  • Control: starch with boiled amylase, or with water instead of amylase: the blue-black colour should persist.
Achromic point data (moderate)

Starch was hydrolysed by amylase extracted from germinating barley seeds of different ages. The time to the achromic point was recorded.

Age of seeds / days246
Time to achromic point / s1509548

(a) Calculate the rate of reaction for each age of seed, in s−1\text{s}^{-1}, giving your answers to two significant figures. (b) State a conclusion and suggest an explanation.

Solution

(a) Rate =1/t= 1/t:

  • 2 days: 1/150=6.7×10−3 s−11/150 = 6.7 \times 10^{-3}\ \text{s}^{-1};
  • 4 days: 1/95=1.1×10−2 s−11/95 = 1.1 \times 10^{-2}\ \text{s}^{-1};
  • 6 days: 1/48=2.1×10−2 s−11/48 = 2.1 \times 10^{-2}\ \text{s}^{-1}.

(b) The rate of starch hydrolysis increases as the seeds get older (over the first 6 days). Older germinating seeds have produced (secreted) more amylase, so the extract contains a higher concentration of enzyme; more active sites are available, so more enzyme–substrate complexes form per unit time and starch is hydrolysed faster. (In seeds, amylase hydrolyses the stored starch to maltose, which is used in respiration for growth.)

Exam-hard: interpreting two progress curves (6 marks)

Two experiments used the same volume and concentration of hydrogen peroxide at 25 ∘C25\ ^\circ\text{C}. Experiment A used 1.0 cm31.0\ \text{cm}^3 of catalase solution and experiment B used 2.0 cm32.0\ \text{cm}^3 of the same catalase solution, with water added to keep the total volume the same. Curve B was steeper at the start but both curves levelled off at the same final volume of oxygen.

Explain these results.

Solution
  1. In B there are more enzyme molecules, so more active sites are available.
  2. Substrate is in excess at the start, so more successful collisions / more enzyme–substrate complexes form per unit time.
  3. So the initial rate (gradient) in B is higher (approximately double).
  4. In both experiments the curve levels off because all the substrate (hydrogen peroxide) has been used up.
  5. The final volume of oxygen depends only on the quantity of substrate, which was the same in A and B.
  6. Enzymes are not used up in the reaction / the extra enzyme only makes the end point arrive sooner, it does not make more product.

Examiners also credit the idea that water was added so that the concentration of hydrogen peroxide (and total volume) was the same in both, making the comparison valid.

Watch out
  • "The reaction stops because the enzyme is used up / denatured" is wrong for a progress curve at a suitable temperature. It levels off because the substrate has run out.
  • Do not say enzymes "give" molecules energy. They lower the activation energy so that more molecules already have enough energy to react.
  • Rate is not the same as the amount of product. A curve that reaches a higher plateau has more product, not necessarily a higher rate.
  • When using 1/t1/t, rates have units s−1\text{s}^{-1} (or min−1\text{min}^{-1}). Do not write the unit as "s".
Exam tip
  • "Explain how enzymes catalyse reactions" usually earns marks for: active site; complementary shape to substrate; collision / binding to form ES complex; (induced fit) change of shape / strain on bonds; lowering of activation energy; products released; enzyme unchanged / reused.
  • When asked to compare lock-and-key and induced fit, make each point a pair: "in lock-and-key the active site is rigid, whereas in induced fit it changes shape when the substrate binds".
  • Learn the syllabus pair of examples: intracellular (catalase) and extracellular (amylase).
  • In Paper 3 you are often asked to describe how to measure rate. Be specific: name the apparatus (gas syringe, colorimeter, spotting tile), what is measured (volume of oxygen at fixed time intervals; time to achromic point), and how rate is calculated (gradient of tangent; 1/t1/t).
  • When asked about a control, state exactly what it contains (boiled enzyme, same volume) and what it shows.
Summary
  • Enzymes are globular proteins that act as biological catalysts; intracellular (e.g. catalase) or extracellular (e.g. amylase).
  • The active site has a specific shape, complementary to the substrate, determined by tertiary structure. This gives enzyme specificity.
  • Enzyme and substrate collide and form an enzyme–substrate complex; products form and are released; the enzyme is unchanged.
  • Lock-and-key: rigid active site, exactly complementary. Induced fit: active site changes shape around the substrate, straining its bonds; the preferred model.
  • Enzymes lower the activation energy, so far more molecules can react at body temperature.
  • Progress is followed by product formation (catalase, oxygen) or substrate disappearance (amylase, starch–iodine).
  • Initial rate = gradient of the tangent at t=0t = 0; rate =1/t= 1/t for end-point methods.
  • Progress curves level off because substrate is used up; final yield depends on the amount of substrate.
  • Colorimeters give an objective measure of colour: choose a complementary filter, zero with a blank, use a calibration curve.

Practice questions

Question
  1. Define the term enzyme.
  2. Distinguish between intracellular and extracellular enzymes, giving one example of each.
  3. Explain what is meant by the active site of an enzyme and why it is specific. (3 marks)
  4. Describe the induced-fit hypothesis of enzyme action. (3 marks)
  5. Sketch and label an energy diagram to show the effect of an enzyme on activation energy.
  6. In a floating-disc experiment, a catalase-soaked disc took 12.5 s to rise. Calculate the rate of reaction.
  7. Explain why the initial rate, rather than the mean rate over the whole experiment, is used to compare enzyme activity under different conditions. (2 marks)
  8. A student measured the oxygen produced by catalase. After 50 s, 31.1 cm³ had been collected; after 60 s, 33.4 cm³. Calculate the mean rate between 50 s and 60 s and suggest why it is lower than the mean rate between 0 s and 10 s (10.4 cm³ collected).
  9. A student followed the hydrolysis of starch by amylase using a colorimeter set to measure absorbance. Describe and explain how the absorbance readings would change over 10 minutes. (4 marks)
  10. Lysozyme is an enzyme that hydrolyses the polysaccharides in bacterial cell walls. Several amino acids in its active site are in contact with the substrate when it binds. Use the induced-fit hypothesis to explain how lysozyme lowers the activation energy for hydrolysis of the glycosidic bond, and why lysozyme does not hydrolyse starch, even though starch also contains glycosidic bonds. (6 marks)
Answers
  1. A globular protein that acts as a biological catalyst, increasing the rate of a (metabolic) reaction without being permanently changed or used up.
  2. Intracellular enzymes act inside the cell that made them, e.g. catalase (or DNA polymerase, respiratory enzymes). Extracellular enzymes are secreted and act outside the cell that made them, e.g. amylase (or trypsin, lipase).
  3. The active site is a small region (cleft/pocket) of the enzyme, formed by a few amino acids, where the substrate binds and the reaction is catalysed; its shape is determined by the enzyme's tertiary structure (folding of the polypeptide, held by bonds between R groups); it has a shape complementary to only one substrate (or a few closely related substrates), so only that substrate can bind and form an enzyme–substrate complex.
  4. The active site is not exactly complementary to the substrate before binding; when the substrate binds, the active site (enzyme) changes shape slightly to fit more closely around the substrate; this puts strain on bonds in the substrate / holds substrates in the correct orientation, so activation energy is lowered; on release of products the active site returns to its original shape.
  5. Axes: energy (vertical) and progress of reaction (horizontal). Reactants at a higher level, products at a lower level (for an energy-releasing reaction). Two humps: a tall one labelled "without enzyme" and a lower one labelled "with enzyme". Activation energy shown as the vertical distance from reactants to the top of each hump; the one with enzyme is smaller. Overall energy change is the same for both.
  6. Rate =1/12.5=0.080 s−1= 1/12.5 = 0.080\ \text{s}^{-1}.
  7. At the start, substrate concentration is known and the same in all experiments (none has yet been used up) and no product has built up; later the rate falls as substrate is used up by different amounts in each experiment, so the mean rate does not reflect the conditions being tested.
  8. Rate =(33.4−31.1)/10=0.23 cm3 s−1= (33.4 - 31.1)/10 = 0.23\ \text{cm}^3\ \text{s}^{-1}. Between 0 and 10 s it was 10.4/10=1.04 cm3 s−110.4/10 = 1.04\ \text{cm}^3\ \text{s}^{-1}. It is lower because much of the hydrogen peroxide has been broken down, so the substrate concentration is lower, there are fewer collisions with active sites and fewer ES complexes form per second.
  9. Absorbance starts high because starch–iodine is dark blue-black; it decreases over time as starch is hydrolysed to maltose (which does not give a blue-black colour with iodine), so less light is absorbed; the decrease is fastest at first (highest starch concentration, most ES complexes) and slows; absorbance levels off at (or near) the baseline value when all the starch is hydrolysed.
  10. Any six: the active site of lysozyme is (roughly) complementary to the polysaccharide in bacterial cell walls; the substrate binds to the active site forming an enzyme–substrate complex; held by hydrogen bonds/ionic interactions with R groups of amino acids in the active site; the active site changes shape (moulds around) the substrate as it binds (induced fit); this distorts/strains the glycosidic bond, making it easier to break; R groups in the active site (e.g. charged groups) take part in the reaction / donate H+\text{H}^+; so activation energy is lowered. Starch has a different shape from the cell-wall polysaccharide (different monomers/bond arrangement), so it is not complementary to the active site; it cannot bind or does not induce the correct change in shape, so no ES complex forms and its bonds are not hydrolysed.

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