PYQ Vault

IMAT Biology · Formula sheet

Biomolecules and Enzymes formulas

4 formulas, 18 reference tables and 27 common traps for IMAT Biology Biomolecules and Enzymes, grouped by subtopic.

Full notes with worked examples

Water, the Elements of Life and Condensation

Learn this subtopic in the notes

Condensation and hydrolysis: building and breaking polymers

Formula of a chain of n identical units

chain=n×(unit)−(n−1) H2O\text{chain} = n \times (\text{unit}) - (n-1)\,\mathrm{H_2O}
  • nnnumber of units joined in one unbranched chain
  • n−1n-1number of bonds made, and of water molecules released

Polar water and the hydrogen bond

Bond or attractionBetweenStrengthExample in biology
Covalent bondAtoms sharing electrons inside one moleculeStrongO-H inside a water molecule; C-C in a sugar
Ionic bondOppositely charged ions or charged R groupsStrong when dry, weaker in waterBetween charged R groups in a folded protein
Hydrogen bondH on O or N, and an O or N of another moleculeWeak, temporaryBetween water molecules; DNA base pairs
Hydrophobic interactionNon-polar groups clustering away from waterWeakFatty acid tails inside a membrane
Only the covalent bond lies inside a water molecule. The hydrogen bond lies between molecules.

Properties of water that matter for life

PropertyCauseWhy it matters to living things
Good solvent for polar and ionic substancesPolar molecule surrounds ionsTransport in blood and sap; reactions in cytoplasm
High specific heat capacityEnergy goes into breaking hydrogen bondsStable body and habitat temperature
High latent heat of vaporisationMany hydrogen bonds break on evaporationCooling by sweating and transpiration
Cohesion and surface tensionHydrogen bonds between water moleculesWater columns in xylem; insects walk on ponds
Ice less dense than liquid waterHydrogen bonds hold ice in an open latticeIce floats and insulates; lakes do not freeze solid

The four classes of biological molecules and their elements

ClassElementsBuilding blockBond joining blocks
CarbohydratesC, H, OMonosaccharide (for example glucose)Glycosidic bond
Lipids (triglycerides)C, H, O (phospholipids also P)Glycerol and fatty acidsEster bond
ProteinsC, H, O, N, often SAmino acidPeptide bond
Nucleic acidsC, H, O, N, PNucleotidePhosphodiester bond
Lipids are not true polymers: a triglyceride is one glycerol with three fatty acids, not a long chain of repeating units.

Common traps

The O-H bond inside water is not a hydrogen bond

Inside one water molecule, O and H share electrons in a covalent bond. The hydrogen bond is the weaker attraction between the H of one molecule and the O (or N) of another. An option calling the internal O-H bond a hydrogen bond is wrong.

Hydrogen bonds do not need hydrolysis to break

Hydrolysis breaks covalent bonds by adding water (a glycosidic, peptide or ester bond). Hydrogen bonds are broken simply by heat or movement, without any chemical reaction.

Heat capacity and latent heat are different properties

Specific heat capacity is the energy to warm water by one degree, and keeps temperatures steady. Latent heat of vaporisation is the energy to turn liquid into vapour, and is what makes sweating and transpiration cool. IMAT puts both among the options.

Glycerol is an alcohol, not an acid

Glycerol carries three hydroxyl groups and no carboxyl group. The carboxyl groups in a triglyceride come from the fatty acids. Options giving glycerol a carboxyl group, or no hydroxyl groups, are wrong.

One water per bond, not one per unit

A chain of nn units has n−1n-1 bonds, so n−1n-1 waters leave. Removing nn waters (one for each unit) is the commonest wrong option in formula questions.

Breaking a molecule into its parts releases no water

Splitting a polymer, a triglyceride or a phospholipid into its building blocks is hydrolysis: water is used up, one molecule per bond broken. The number of water molecules released is zero. It is condensation, the building direction, that releases water.

Sugars, Glycosidic Bonds and Polysaccharides

Learn this subtopic in the notes

Monosaccharides: trioses, pentoses and hexoses

SugarTypeFormulaWhere it is found or used
GlyceraldehydeTrioseC3H6O3\mathrm{C_3H_6O_3}Intermediate in respiration and photosynthesis
RibosePentoseC5H10O5\mathrm{C_5H_{10}O_5}RNA nucleotides, ATP, NAD
DeoxyribosePentoseC5H10O4\mathrm{C_5H_{10}O_4}DNA nucleotides
GlucoseHexoseC6H12O6\mathrm{C_6H_{12}O_6}Main fuel for respiration; unit of starch, glycogen, cellulose
Fructose and galactoseHexosesC6H12O6\mathrm{C_6H_{12}O_6}Fruit sugar; part of sucrose (fructose) and lactose (galactose)

The glycosidic bond and the three common disaccharides

DisaccharideMade fromBondSource
Maltoseα-glucose + α-glucoseα(1→4)Digestion of starch by amylase; germinating seeds
Sucroseα-glucose + β-fructoseα(1→2)Transport sugar in plant phloem; table sugar
Lactoseβ-galactose + glucoseβ(1→4)Milk sugar of mammals
Maltose and lactose are reducing sugars; sucrose is not.

Polysaccharides: starch, glycogen and cellulose

PolysaccharideMonomer and bondsShapeRole
Amyloseα-glucose, α(1→4)Unbranched helixCompact plant store (part of starch)
Amylopectinα-glucose, α(1→4) with α(1→6) branchesBranchedPlant store (part of starch)
Glycogenα-glucose, α(1→4) with many α(1→6) branchesHighly branchedAnimal store in liver and muscle
Celluloseβ-glucose, β(1→4)Straight chains in microfibrilsStrength of plant cell walls
ChitinGlucose with an N-containing group, β(1→4)Straight chainsInsect exoskeleton, fungal walls

Common traps

Glycerol and glucagon are not sugars

Glycerol is a three-carbon alcohol from lipids, and glucagon is a protein hormone that raises blood glucose. Neither is a carbohydrate, though both names sound like glucose. IMAT uses them as distractors in sugar questions.

Sucrose is not a reducing sugar

Maltose and lactose turn Benedict's reagent brick-red, but sucrose does not, because the bond between glucose and fructose ties up both reactive groups. A negative Benedict's test therefore does not prove there is no sugar: sucrose may be present.

Starch and cellulose differ in the glucose, not the sugar

Both are polymers of glucose. Starch uses α-glucose and cellulose uses β-glucose. An option saying cellulose is made of fructose, or of a different sugar from starch, is wrong.

Glycogen is the animal store, not starch

Animals and fungi store glucose as glycogen, mainly in liver and muscle. Plants store starch. Animals do not make starch.

Fatty Acids, Triglycerides, Phospholipids and Steroids

Learn this subtopic in the notes

Triglycerides: ester bonds and their formula

Formula of a triglyceride

C3H8O3+3 (fatty acid)−3 H2O\mathrm{C_3H_8O_3} + 3\,(\text{fatty acid}) - 3\,\mathrm{H_2O}
  • C3H8O3\mathrm{C_3H_8O_3}glycerol
  • 3 H2O3\,\mathrm{H_2O}one water released per ester bond

Fatty acids: saturated and unsaturated

FeatureSaturated fatty acidUnsaturated fatty acid
C=C double bondsNoneOne or more
Shape of chainStraightKinked at each cis double bond
State of the fat at room temperatureUsually solid (butter, lard)Usually liquid (olive oil)
Hydrogen atoms for the same chain lengthThe maximum possibleTwo fewer for each double bond

Phospholipids and steroids

LipidBuilt fromKey propertyMain role
TriglycerideGlycerol + 3 fatty acidsNon-polar, insolubleEnergy store, insulation
PhospholipidGlycerol + 2 fatty acids + phosphateAmphipathic (polar head, non-polar tails)Membrane bilayer
Cholesterol (steroid)Four fused carbon ringsMostly non-polar, one OH groupMembrane fluidity; makes steroid hormones
WaxFatty acid + long-chain alcoholVery water-repellentWaterproofing of leaves and cuticles

Common traps

Unsaturated means fewer hydrogens, not more

Saturated means saturated with hydrogen: the most H atoms the chain can hold. Each C=C double bond removes two hydrogen atoms. So an unsaturated fatty acid always has fewer hydrogens than the saturated one of the same length.

Triglycerides are joined by ester bonds, not glycosidic or peptide bonds

Each name belongs to one class: glycosidic bonds in carbohydrates, peptide bonds in proteins, ester bonds in lipids, phosphodiester bonds in nucleic acids. Mixing them up is a favourite distractor.

Cholesterol contains no peptide bonds and no fatty acids

Cholesterol is a steroid lipid made of fused rings. It is not a protein, so it has no peptide bonds, and it is not a fat, so it has no fatty acids or ester bonds in its ring frame. It is typical of animal membranes; plant membranes use related sterols instead.

Amino Acids, Protein Structure and Nucleotides

Learn this subtopic in the notes

The peptide bond and the mass of a polypeptide

Mass of a single polypeptide chain

M=n mˉ−18 (n−1)M = n\,\bar{m} - 18\,(n-1)
  • nnnumber of amino acids in the chain
  • mˉ\bar{m}average relative mass of the free amino acids
  • 1818relative mass of one water molecule lost per peptide bond

The structure of an amino acid

PartFormulaProperty
Amino group−NH2\mathrm{-NH_2}Basic; same in all amino acids
Carboxyl group−COOH\mathrm{-COOH}Acidic; same in all amino acids
Hydrogen on the α-carbon−H\mathrm{-H}Same in all amino acids
R group (side chain)Varies (H in glycine, CH3\mathrm{CH_3} in alanine)Decides polarity, charge and size; the only part that differs

The four levels of protein structure

LevelWhat it isHeld byExample
PrimarySequence of amino acidsPeptide bondsAny protein; one change can alter the whole fold (sickle cell haemoglobin)
Secondaryα-helix or β-pleated sheetHydrogen bonds in the backboneα-helices of keratin; β-sheets of silk
Tertiary3D fold of a single chainR-group bonds: hydrogen, ionic, disulfide, hydrophobicMyoglobin (one chain); many enzymes
QuaternarySeveral chains togetherThe same R-group bonds, between chainsHaemoglobin (four chains, each with a haem group); collagen (three chains)

Fibrous and globular proteins, where they act, and denaturation

ProteinTypeWhere it actsFunction
CollagenFibrousOutside cells (extracellular matrix)Tensile strength of skin, tendon, bone
KeratinFibrousInside cells of skin, hair and nailsToughness, waterproofing
HaemoglobinGlobularInside red blood cellsCarries oxygen
AntibodiesGlobularBlood plasma and body fluidsBind antigens
Myosin and actinFibrous filamentsInside muscle cellsContraction (myosin thick filaments, actin thin filaments)

Nucleotides and nucleic acids in outline

FeatureDNARNA
SugarDeoxyriboseRibose
BasesA, T, G, CA, U, G, C
StrandsTwo, in a double helixUsually one
Bond within a strandPhosphodiesterPhosphodiester
Main location in a eukaryotic cellNucleus (also mitochondria and chloroplasts)Nucleus, cytoplasm and ribosomes

Common traps

The R group can contain N, O or even its own COOH

Some R groups carry extra amino, amide or carboxyl groups. When asked for the part common to all amino acids, choose the α-carbon with one amino group, one carboxyl group and one H, and treat everything else on that carbon as the R group.

Hydrolysis breaks the C-N peptide bond, not a bond inside an R group

To split a dipeptide back into its two amino acids, the bond between the carbonyl carbon and the nitrogen of the next unit is broken by adding water. The C=O and N-H bonds next to it, and bonds in the R groups, stay as they are.

A protein with a quaternary level still has all the lower levels

Levels build on each other. A protein made of several chains has primary, secondary, tertiary and quaternary structure, never a quaternary structure with a level missing. A single-chain protein stops at tertiary.

Denaturation does not break peptide bonds

A denatured protein has lost its shape, not its sequence. Breaking peptide bonds is hydrolysis, done by proteases or by boiling in strong acid for a long time, not by ordinary heating.

Collagen is not a muscle filament

Collagen is a fibrous protein outside cells, in connective tissue. The thick filaments in muscle are myosin and the thin ones actin.

Hydrogen bonds join the strands; phosphodiester bonds join the nucleotides

The covalent phosphodiester bonds make the backbone of each strand. The weak hydrogen bonds between bases hold the two strands of DNA together and let them separate for copying.

Enzymes: Catalysis, the Active Site and Cofactors

Learn this subtopic in the notes

Enzymes as catalysts that lower the activation energy

QuantityChanged by an enzyme?Comment
Activation energyYes, loweredThis is how the enzyme speeds the reaction
Rate of reactionYes, increasedOften by millions of times
Overall energy released or taken inNoProducts and reactants are the same as without the enzyme
Position of equilibriumNoEquilibrium is reached faster, not shifted
The enzyme itselfNoUnchanged at the end and used again

The active site: lock-and-key and induced fit

ModelActive site before bindingOn bindingWhat it explains
Lock-and-keyRigid, exactly complementary to the substrateNo change of shapeSpecificity
Induced fitRoughly complementaryMoulds around the substrate, straining its bondsSpecificity, the lowering of activation energy, broad specificity of some enzymes

Cofactors, coenzymes and prosthetic groups

Kind of helperHow it is boundExampleDietary source
Inorganic cofactor (ion)Bound in or near the active siteZn2+\mathrm{Zn^{2+}} in carbonic anhydraseMinerals
CoenzymeLoosely; moves between enzymesNAD+\mathrm{NAD^+} carrying electrons in respirationVitamins (niacin for NAD)
Prosthetic groupTightly and permanentlyHaem in catalaseIron from the diet for the haem

Where enzymes work, and the main enzyme classes

EnzymeSubstrateProductsWhere it works
AmylaseStarchMaltoseMouth (saliva) and small intestine (from pancreas)
PepsinProteinsShorter polypeptidesStomach, at about pH 2
Trypsin and other peptidasesPolypeptidesShort peptides and amino acidsSmall intestine
LipaseTriglyceridesFatty acids and glycerol (or monoglycerides)Small intestine, helped by bile
CatalaseHydrogen peroxideWater and oxygenInside cells, especially liver

Common traps

Enzymes do not raise the temperature or supply energy

An enzyme speeds up a reaction at the same temperature by providing a route with a lower activation energy. It gives no energy to the reaction and is not used up. Options saying it heats the mixture, supplies energy, or turns into product are wrong.

The active site is not built only from neighbouring amino acids

The amino acids that line an active site can be far apart in the primary sequence, or even on different chains. They meet only because the chain folds. That is why the higher levels of structure decide the shape of the active site.

Every coenzyme is a cofactor, but not every cofactor is a coenzyme

Cofactor is the general word for any non-protein helper. Coenzymes are the organic ones. A metal ion such as Zn2+\mathrm{Zn^{2+}} is a cofactor but never a coenzyme.

Amylase digests starch, peptidases digest proteins, lipase digests fats

The name tells you the substrate. A protein is broken down by proteases and peptidases, not by amylase or lipase. Isomerases and transaminases are not digestive enzymes at all: they rearrange molecules or move amino groups inside cells.

Temperature, pH, Substrate and Inhibitors

Learn this subtopic in the notes

Substrate concentration, Vmax and Km

Michaelis-Menten equation

v=Vmax⁡ [S]Km+[S]v = \frac{V_{\max}\,[S]}{K_m + [S]}
  • vvinitial rate of reaction
  • Vmax⁡V_{\max}maximum rate, when all active sites are occupied
  • [S][S]substrate concentration
  • KmK_msubstrate concentration giving half of Vmax⁡V_{\max}

Effect of temperature and pH on enzyme activity

ConditionEffect on rateReason
Temperature rising below the optimumIncreasesMore frequent and more energetic collisions
Temperature above the optimumFalls steeplyBonds holding the shape break; the enzyme denatures
Low temperatureVery slow, but recovers on warmingFew collisions; the enzyme is not denatured
pH away from the optimumFalls on both sidesCharges on R groups change; the active site changes shape
More enzyme, with plenty of substrateIncreases in proportionMore active sites available

Competitive, non-competitive and irreversible inhibition

TypeWhere it bindsEffect of adding more substrateEffect on Vmax and Km
CompetitiveActive siteOvercomes the inhibitionVmax same; Km higher
Non-competitiveAnother site (allosteric)Does not helpVmax lower; Km same
IrreversibleUsually the active site, permanentlyDoes not helpEnzyme molecules lost for good
End-product (feedback)Allosteric site of an early enzymeDepends on the product levelPathway slows when product builds up

Common traps

Low temperature inactivates; high temperature denatures

Cooling slows an enzyme but leaves its shape intact, so activity returns on warming. Heating above the optimum breaks the bonds holding the shape, and this is usually permanent. Do not say an enzyme is denatured by cold.

Km is a substrate concentration, not a rate

KmK_m is the substrate concentration at half the maximum rate, so its unit is a concentration. A smaller KmK_m means higher affinity, not a slower enzyme.

A competitive inhibitor binds the enzyme, not the substrate

The inhibitor and the substrate compete for the same active site. The inhibitor does not attach to the substrate, and it does not block the release of products. Options describing either are wrong.

The one property all inhibitors share is a lower rate

Competitive inhibitors do not change the active site's shape; no inhibitor denatures the enzyme; none raise the activation energy of the catalysed reaction. The only statement true of every inhibitor is that it reduces the rate of the reaction.

More IMAT Biology formula sheets