Investigating the Chemistry of Life — Problem set, Grade 10

Use fair comparisons and molecular models to explain reactions in living systems.

Review the key ideas

Designing a Biology Investigation

A strong claim names the tested conditions, cites data, explains a mechanism, and states limits.

Atoms, Bonds & Water

Covalent bonds share electrons; ionic bonding is attraction between oppositely charged ions. Water is polar and dissolves many ionic/polar substances, not everything. Hydrogen bonds affect cohesion and thermal behavior. In dilute solutions, a one-unit pH difference represents a tenfold hydrogen-ion activity difference.

Carbon & the Macromolecules of Life

Structure supports function: proteins, nucleic acids, carbohydrates, and lipids have different components and roles; lipids are not a single repeating-monomer polymer family.

Enzymes

Enzymes lower activation barriers without changing a reaction’s net free-energy difference. Most are proteins, while catalytic RNAs also exist. Active-site chemistry supports selectivity; activity depends on substrate, temperature, pH and the particular enzyme.

Biochemical Reactions & Energy

Reaction energy depends on all reactants, products, and conditions. ATP hydrolysis can be coupled to cell work; breaking a bond alone requires energy.

Problem 1

Name the three types of chemical bonds from this unit and describe each in a few words.
Answer and explanation

Covalent (atoms share electrons), ionic (one atom transfers an electron to another, forming ions that attract), and hydrogen (a weak attraction between polar molecules).

A covalent bond forms when two atoms share a pair of electrons — the strong bonds inside molecules like water. An ionic bond forms when one atom transfers an electron to another, creating oppositely charged ions (like Na⁺ and Cl⁻) that attract. A hydrogen bond is a much weaker attraction between the slightly positive part of one polar molecule and the slightly negative part of another.

Problem 2

Why is water called a 'polar' molecule, and why does that make it a good solvent?
Answer and explanation

Its electrons are shared unequally, so the oxygen end is slightly negative and the hydrogen ends slightly positive; those charged ends let it surround and dissolve other charged or polar substances.

In water, oxygen pulls the shared electrons closer than the hydrogens do, leaving the oxygen end slightly negative and the hydrogen ends slightly positive — that is what 'polar' means. Because it has charged ends, water can cluster around the charged parts of other substances (like the Na⁺ and Cl⁻ in salt) and pull them apart, dissolving them. That's why water is called the 'universal solvent.'

Problem 3

Lemon juice has a pH of about 2 and black coffee a pH of about 5. How many times more acidic is the lemon juice?
Answer and explanation

1000 times more acidic.

Each step on the pH scale is a tenfold change in acidity. The difference is 5 − 2 = 3 pH units, so the lemon juice has 10 × 10 × 10 = 10³ = 1000 times more hydrogen ions than the coffee.

Problem 4

List the four macromolecule families and give one function of each.
Answer and explanation

Carbohydrates (quick energy and structure), lipids (long-term energy storage and cell membranes), proteins (do most of the cell's work, including acting as enzymes), and nucleic acids (store and carry genetic information).

Carbohydrates supply quick energy (glucose) and structure (cellulose). Lipids store energy long-term and build cell membranes. Proteins carry out most of the cell's jobs — structure, transport, defense, and catalysis as enzymes. Nucleic acids (DNA and RNA) store and carry the genetic instructions for building proteins.

Problem 5

A polymer chain is built from 20 monomers by dehydration synthesis. How many bonds link the chain, and how many water molecules are released (one per bond)?
Answer and explanation

19 bonds and 19 water molecules.

In a single chain, the number of bonds is always one less than the number of monomers: 20 − 1 = 19 bonds. Because dehydration synthesis releases one water molecule for each bond formed, 19 bonds release 19 water molecules.

Problem 6

What is an enzyme, and what does it do to a chemical reaction?
Answer and explanation

An enzyme is a protein catalyst that speeds up a specific reaction by lowering its activation energy, without being used up.

An enzyme is a protein that acts as a biological catalyst. It lowers the activation energy — the 'starting hump' — of a specific reaction, so the reaction can happen quickly at the mild temperatures inside a cell. Because the enzyme is not consumed, it can be reused again and again.

Problem 7

An enzyme's optimum temperature is 37°C. Predict and explain what happens to its activity at 5°C and at 70°C.
Answer and explanation

At 5°C it works slowly but is undamaged; at 70°C it stops working because it is denatured.

At 5°C the molecules move and collide slowly, so the reaction is slow — but the enzyme keeps its shape and would speed up again if warmed. At 70°C the excess heat denatures the enzyme: its folding unravels, the active site loses its shape, and the substrate can no longer bind, so activity drops sharply and usually does not recover.

Problem 8

Explain how a change in pH could stop one of your digestive enzymes from working.
Answer and explanation

The wrong pH disrupts the attractions that hold the enzyme's shape, distorting the active site so the substrate no longer fits.

An enzyme works only when its active site keeps the right shape, and that shape is held together by chemical attractions that are sensitive to H⁺ concentration (pH). If the pH moves away from the enzyme's optimum, the extra or missing H⁺ ions disrupt those attractions, the active site changes shape, and the substrate can no longer bind — so the enzyme slows down or stops, and may denature completely.

Problem 9

What is ATP, and why is it called the cell's energy 'currency'?
Answer and explanation

ATP (adenosine triphosphate) is the molecule cells use to store and deliver energy; it's called 'currency' because it's a small, standard, spendable packet of energy the cell can use anywhere.

ATP is an energy-transfer molecule. Its complete hydrolysis reaction can be coupled to work; breaking a bond alone does not release energy. Metabolism supplies energy to regenerate ATP.

Problem 10

Classify each reaction as synthesis or decomposition: (a) glucose molecules link together to form glycogen; (b) a protein is broken down into amino acids during digestion.
Answer and explanation

(a) synthesis; (b) decomposition.

A synthesis reaction builds a larger molecule from smaller ones, so (a) — linking glucose into glycogen — is synthesis. A decomposition reaction breaks a larger molecule into smaller ones, so (b) — breaking a protein into amino acids — is decomposition.

Problem 11

Suppose breaking down one glucose molecule yields about 30 ATP. About how many ATP would breaking down 4 glucose molecules yield?
Answer and explanation

About 120 ATP.

Multiply the ATP per glucose by the number of glucose molecules: 30 ATP × 4 = 120 ATP. (In a real cell, those ATP are then broken back to ADP as they power the cell's work, and recharged again — the number just tells you how much energy the food released.)

Problem 12

A cell is building a new protein. Describe the role of (a) amino acids, (b) an enzyme, and (c) ATP in making that protein.
Answer and explanation

(a) amino acids are the monomers linked into the protein; (b) an enzyme speeds up the bond-forming reaction; (c) ATP supplies the energy the synthesis reaction needs.

Amino acids supply building material. Catalytic machinery assembles the chain, with energy-dependent steps supported by nucleotide reactions. Reactions must be coupled; an enzyme alone does not supply the needed energy.

Problem 13

A plant experiment changes both light and fertilizer. Why is a growth difference hard to interpret?
Answer and explanation

Either factor or their interaction could contribute. Change one factor with the other controlled, or use a planned factorial comparison.

Problem 14

A student waters one plant with fertilizer and keeps it on a sunny windowsill, and waters a second plant with plain water in a shaded corner. The fertilized plant grows taller. Explain why the conclusion "fertilizer increases growth" is not supported.
Answer and explanation

Light and fertilizer both differ between the two plants, so light is a confounding variable and the growth difference cannot be assigned to fertilizer. A supported design keeps light, water volume, pot size, soil, and temperature the same and varies only fertilizer, with several plants per group.

Response criteria

  • State a biologically accurate conclusion.
  • Show the data, mechanism, or calculation that supports it.
  • Include units, conditions, or limits where relevant.

Problem 15

Four replicate seedlings in one group have final heights 11, 14, 12, and 15 cm. Report the group mean in centimetres.
Answer and explanation

13 cm

(11 + 14 + 12 + 15) / 4 = 52 / 4 = 13 cm. Report the range 11–15 cm alongside the mean so the spread stays visible.

Problem 16

Chapter review: Two trays receive different nutrient treatments. Each tray contains one plant measured six times. Explain the true replication and redesign the comparison.
Answer and explanation

There is only one treated biological/treatment unit per condition; six readings are repeated observations. Use several independently assigned plants or trays per condition, keep light/water/species comparable and preserve all time records.

There is only one treated biological/treatment unit per condition; six readings are repeated observations. Use several independently assigned plants or trays per condition, keep light/water/species comparable and preserve all time records.

Response criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the biological mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.

Problem 17

Evaporating 1.0 g of water from a leaf surface removes about 2,260 J. How much heat is removed when 3.0 g evaporates?
Answer and explanation

6780 J

3.0 g × 2,260 J/g = 6,780 J. The high heat of vaporization is why transpiration cools a leaf effectively.

Problem 18

Oil and water separate into layers. Explain this using polarity, and name one place in a cell where the same behaviour is useful.
Answer and explanation

Water molecules are polar and hydrogen-bond with each other, while oil molecules are nonpolar and cannot. Water molecules associate with one another rather than surrounding the oil, so the two form separate layers. The same behaviour organizes the cell membrane: nonpolar fatty-acid tails are excluded from water and face inward, while polar phosphate heads face the watery surroundings.

Response criteria

  • State a biologically accurate conclusion.
  • Show the data, mechanism, or calculation that supports it.
  • Include units, conditions, or limits where relevant.

Problem 19

Chapter review: Compare hydrogen-ion concentrations at pH 5 and pH 8 using a tenfold change per unit. Explain why a buffer cannot be described as preventing every pH change.
Answer and explanation

The pH 5 sample has 10³ = 1,000 times the hydrogen-ion concentration of the pH 8 sample in the dilute-solution comparison. A buffer has a finite working range and capacity; sufficiently large additions can exceed it.

The pH 5 sample has 10³ = 1,000 times the hydrogen-ion concentration of the pH 8 sample in the dilute-solution comparison. A buffer has a finite working range and capacity; sufficiently large additions can exceed it.

Response criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the biological mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.

Problem 20

Starch and cellulose are both polymers of glucose, yet humans digest starch and not cellulose. Explain what differs and what that implies about enzymes.
Answer and explanation

The glucose units are linked in different orientations, giving starch and cellulose different bond geometry and overall shape. Human digestive enzymes have active sites that fit the linkage in starch but not the one in cellulose, so cellulose passes through undigested. Enzyme specificity therefore depends on the precise arrangement of a substrate, not only on its chemical formula.

Response criteria

  • State a biologically accurate conclusion.
  • Show the data, mechanism, or calculation that supports it.
  • Include units, conditions, or limits where relevant.

Problem 21

Hydrolysing a polysaccharide of 120 glucose units completely into single monomers consumes one water molecule per bond broken. How many water molecules are consumed?
Answer and explanation

119

A chain of 120 units contains 119 bonds, so 119 water molecules are used.

Problem 22

Chapter review: A treatment unfolds an enzyme but leaves its amino-acid chain largely intact. Explain what may change, what need not change, and what evidence would test retained function.
Answer and explanation

Folding and active-site arrangement may change while amino-acid sequence remains largely intact. Compare catalytic rates under matched conditions and examine whether the fold/function can recover; unfolding is not automatically complete peptide hydrolysis.

Folding and active-site arrangement may change while amino-acid sequence remains largely intact. Compare catalytic rates under matched conditions and examine whether the fold/function can recover; unfolding is not automatically complete peptide hydrolysis.

Response criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the biological mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.

Problem 23

A home cook adds fresh pineapple to gelatin and it fails to set; canned pineapple causes no problem. Explain using enzymes.
Answer and explanation

Fresh pineapple contains a protein-digesting enzyme that hydrolyses the gelatin protein, so the chains are too short to form a gel. Canning heats the fruit, which denatures the enzyme and destroys its active-site shape, so the gelatin sets normally. The comparison isolates the enzyme as the cause, since the fruit is otherwise the same.

Response criteria

  • State a biologically accurate conclusion.
  • Show the data, mechanism, or calculation that supports it.
  • Include units, conditions, or limits where relevant.

Problem 24

Replicate rates at 35 °C are 7, 8, and 9 μmol/min. Report the mean.
Answer and explanation

8 μmol/min

(7 + 8 + 9) / 3 = 8 μmol/min, with an observed range of 7–9 that should be reported alongside it.

Problem 25

Chapter review: An enzyme has the same reactant and product energy levels with and without a catalyst, but a lower pathway peak with it. Explain rate, equilibrium and energy implications.
Answer and explanation

The lower barrier can increase the approach rate in both directions. It does not by itself change the equilibrium or net free-energy change, and an unfavorable isolated process still needs suitable coupling or conditions.

The lower barrier can increase the approach rate in both directions. It does not by itself change the equilibrium or net free-energy change, and an unfavorable isolated process still needs suitable coupling or conditions.

Response criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the biological mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.

Problem 26

Synthesizing one molecule of a product requires 46 kJ/mol and the cell couples it to ATP hydrolysis supplying about 30 kJ/mol per ATP. What is the smallest whole number of ATP molecules that can supply the requirement?
Answer and explanation

2 ATP

One ATP supplies about 30 kJ/mol, which is not enough; two supply about 60 kJ/mol, which covers 46 kJ/mol. The excess is released as heat rather than stored.

Problem 27

A synthesis reaction and a decomposition reaction are described. Explain why knowing which is which does not tell you whether energy is released.
Answer and explanation

Synthesis and decomposition describe whether molecules get larger or smaller, not the energy balance. The net energy change depends on the relative stability of all bonds in the reactants and products and on the conditions. Some syntheses release energy and some decompositions require it, so the direction of size change is not a reliable guide.

Response criteria

  • State a biologically accurate conclusion.
  • Show the data, mechanism, or calculation that supports it.
  • Include units, conditions, or limits where relevant.

Problem 28

Chapter review: A coupled synthesis needs +18 free-energy units and its linked hydrolysis contributes −26. Calculate the net, then explain why a catalyst alone cannot replace the coupling.
Answer and explanation

The net is −8 units under the supplied conditions. A catalyst can lower the activation barrier but does not make the isolated +18 process favorable by changing its endpoint free-energy balance.

The net is −8 units under the supplied conditions. A catalyst can lower the activation barrier but does not make the isolated +18 process favorable by changing its endpoint free-energy balance.

Response criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the biological mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.
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