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Biology — cells, organisation & infection

Cells: the basics

All living things are made of cells. Animal cells have a nucleus, cytoplasm, cell membrane, mitochondria and ribosomes. Plant cells have all of these PLUS a cell wall (made of cellulose), a permanent vacuole (filled with cell sap) and chloroplasts (for photosynthesis). Bacterial cells are different again: no nucleus (DNA is a single loose loop plus small rings called plasmids), a cell wall (not cellulose), and sometimes flagella for movement.

What each part does

  • Nucleus: contains DNA, controls the cell
  • Mitochondria: site of aerobic respiration, releases energy
  • Ribosomes: site of protein synthesis (found in every type of cell, even bacteria)
  • Chloroplasts: contain chlorophyll, absorb light for photosynthesis
  • Cell membrane: controls what enters and leaves
  • Cell wall: gives structural support

Microscopes and magnification

Magnification = image size divided by actual (real) size. Rearrange to find real size when needed. Always convert units carefully: 1mm = 1000 micrometres (um). Light microscopes can magnify up to about x2000; electron microscopes give much higher magnification and resolution, letting you see organelles like ribosomes and mitochondria in detail.

Specialised cells

Cells differentiate to become specialised for a job. Examples: sperm cells (tail for swimming, lots of mitochondria for energy), root hair cells (large surface area for water/mineral uptake), nerve cells (long axon, branched endings to carry signals), red blood cells (no nucleus, biconcave shape, packed with haemoglobin to carry oxygen).

Levels of organisation

Cells -> Tissues -> Organs -> Organ systems -> Organism. A tissue is a group of similar cells with the same function (e.g. muscular tissue, glandular tissue, epithelial tissue). An organ is a group of different tissues working together (e.g. the stomach contains muscular, glandular and epithelial tissue). The digestive system is a key organ system: mouth, oesophagus, stomach, small intestine, large intestine, liver and pancreas all work together to break down food.

Pathogens and infection

Pathogens are microorganisms that cause disease: bacteria, viruses, fungi and protists. Bacteria are living cells that can reproduce rapidly and release toxins; viruses are not cells, they invade living cells and reprogram them to replicate. Common mistake: students often say viruses are 'living' — they are not classed as living cells, they need a host cell to reproduce. Diseases spread by: direct contact, water, air (droplet infection) or via vectors (e.g. mosquitoes for malaria, a protist disease).

Common exam mistakes

  • Forgetting bacteria have NO nucleus (DNA is loose, not in a membrane-bound nucleus)
  • Mixing up magnification and resolution — magnification makes it bigger, resolution is how clearly you can see detail
  • Writing 'plant cell' features onto an animal cell diagram
  • Forgetting units when calculating magnification (convert mm to um consistently)
  • Plant cells have a cell wall, vacuole and chloroplasts that animal cells do not have
  • Bacterial cells have no nucleus — their DNA is a single loop plus small circular plasmids
  • Magnification = image size divided by real size
  • 1mm = 1000 micrometres (um) — always check your unit conversion in magnification calculations
  • Mitochondria are the site of aerobic respiration in a cell
  • Ribosomes are the site of protein synthesis and are found in all cells, including bacteria
  • Red blood cells have no nucleus, giving more room to carry oxygen via haemoglobin
  • The order of organisation is cells, then tissues, then organs, then organ systems, then organism
  • Pathogens include bacteria, viruses, fungi and protists
  • Viruses are not living cells — they must invade a host cell to reproduce
  • Malaria is caused by a protist and spread by mosquito vectors
  • Light microscopes magnify up to around x2000; electron microscopes give much higher magnification and resolution
Name three structures found in a plant cell but not an animal cell
Cell wall, permanent vacuole, and chloroplasts
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What is the formula for magnification?
Magnification = image size divided by real (actual) size
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Why do bacterial cells not have a nucleus?
Their DNA is a single loop floating free in the cytoplasm, plus small rings called plasmids, instead of being enclosed in a nucleus
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What is the role of mitochondria?
They are the site of aerobic respiration, releasing energy for the cell
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What is the role of ribosomes?
They are the site of protein synthesis, found in every type of cell including bacteria
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How is a red blood cell adapted to its function?
It has no nucleus and is biconcave, giving more space to carry oxygen bound to haemoglobin
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How is a root hair cell adapted to its function?
It has a large surface area to maximise water and mineral uptake from soil
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What is the correct order of organisation from smallest to largest?
Cells, then tissues, then organs, then organ systems, then organism
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Give an example of an organ made of several tissues
The stomach, which contains muscular tissue, glandular tissue and epithelial tissue
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Name the four types of pathogen
Bacteria, viruses, fungi and protists
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Why are viruses not classed as living cells?
They cannot reproduce on their own — they must invade a host cell and reprogram it to make copies
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What causes malaria and how is it spread?
A protist causes malaria, spread by mosquito vectors
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How does 1mm convert to micrometres?
1mm equals 1000 micrometres (um)
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What is the difference between magnification and resolution?
Magnification is how much bigger the image looks; resolution is how clearly fine detail can be distinguished
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Why do electron microscopes reveal more detail than light microscopes?
They have much higher magnification and resolution, so smaller organelles like ribosomes and mitochondria can be seen clearly
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Biology — bioenergetics, homeostasis & ecology

Bioenergetics: photosynthesis

Photosynthesis is an endothermic reaction: carbon dioxide + water --(light)--> glucose + oxygen. It happens in chloroplasts, using the green pigment chlorophyll to absorb light energy.

  • Limiting factors: light intensity, carbon dioxide concentration, and temperature. Whichever is in shortest supply limits the rate.
  • Light intensity follows the inverse square law: rate is proportional to 1 / distance squared from the light source.
  • Glucose made is used for respiration, converted to starch for storage, used to make cellulose (cell walls), fats and oils (storage), or amino acids (combined with nitrate ions for proteins).
  • Common mistake: writing photosynthesis as exothermic — it is NOT, it stores energy.

Bioenergetics: respiration

Respiration releases energy from glucose and happens in every living cell, all the time.

  • Aerobic respiration (needs oxygen): glucose + oxygen -> carbon dioxide + water. Releases lots of energy.
  • Anaerobic respiration in animals (no oxygen): glucose -> lactic acid. Releases less energy and causes an oxygen debt.
  • Anaerobic respiration in plants/yeast: glucose -> ethanol + carbon dioxide (fermentation).
  • Common mistake: confusing breathing (ventilation, gas exchange) with respiration (a chemical reaction in cells).

Homeostasis

Homeostasis is the regulation of internal conditions to maintain a stable internal environment, responding to changes using negative feedback.

  • The nervous system uses electrical impulses via neurones for fast responses; the endocrine system uses hormones carried in the blood for slower, longer-lasting responses.
  • Reflex arc order: stimulus -> receptor -> sensory neurone -> relay neurone (in CNS) -> motor neurone -> effector -> response.
  • Body temperature control (thermoregulation): thermoregulatory centre in the brain monitors blood temperature. Too hot: sweating, vasodilation. Too cold: shivering, vasoconstriction, hairs stand up.
  • Blood glucose control: insulin (from pancreas) lowers blood glucose by causing cells to take up glucose and the liver to store it as glycogen. Glucagon raises blood glucose by breaking glycogen back into glucose.
  • Type 1 diabetes: pancreas produces little/no insulin, treated with insulin injections. Type 2 diabetes: body cells stop responding properly to insulin, linked to obesity, managed by diet/exercise.
  • Common mistake: mixing up insulin and glucagon direction of effect.

Ecology

Ecosystems involve interdependence between organisms and their environment.

  • Quadrats are used to sample the abundance/distribution of organisms; transects show how distribution changes across an area.
  • Population size estimate = (number in sample area / area of sample) x total area.
  • Biotic factors (living, e.g. predators, disease) and abiotic factors (non-living, e.g. temperature, light, pH) affect communities.
  • Carbon cycle: photosynthesis removes CO2, respiration and combustion release CO2, decomposition returns carbon to the soil/atmosphere.
  • Biodiversity loss drivers: deforestation, land use change, global warming, pollution — all require case-study level detail for exam answers.
  • Photosynthesis equation: carbon dioxide + water --(light energy)--> glucose + oxygen, and it is endothermic.
  • The three limiting factors of photosynthesis are light intensity, carbon dioxide concentration, and temperature.
  • Light intensity and rate of photosynthesis follow the inverse square law: rate is proportional to 1/distance squared.
  • Aerobic respiration equation: glucose + oxygen -> carbon dioxide + water, releasing a large amount of energy.
  • Anaerobic respiration in animals produces lactic acid and causes an oxygen debt; in plants and yeast it produces ethanol and carbon dioxide.
  • The reflex arc pathway is: stimulus -> receptor -> sensory neurone -> relay neurone -> motor neurone -> effector -> response.
  • Insulin lowers blood glucose by causing cells to absorb glucose and the liver to store it as glycogen; glucagon raises blood glucose by converting glycogen back to glucose.
  • Type 1 diabetes is treated with insulin injections; Type 2 diabetes is linked to obesity and managed with diet, exercise, or medication.
  • In thermoregulation, being too hot triggers sweating and vasodilation, while being too cold triggers shivering and vasoconstriction.
  • Population size estimate = (number of organisms in one sample area divided by the area of that sample) multiplied by the total area.
  • Quadrats sample abundance and distribution of organisms; transects sample how distribution changes across an area.
  • The carbon cycle balances CO2 removal by photosynthesis against CO2 release by respiration, combustion, and decomposition.
What is the word equation for photosynthesis?
Carbon dioxide + water, using light energy, produces glucose + oxygen (endothermic).
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Name the three limiting factors of photosynthesis.
Light intensity, carbon dioxide concentration, and temperature.
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What relationship links light intensity and rate of photosynthesis?
The inverse square law — rate is proportional to 1 divided by distance squared.
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What is the word equation for aerobic respiration?
Glucose + oxygen produces carbon dioxide + water, releasing a large amount of energy.
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What does anaerobic respiration produce in animal cells?
Lactic acid, and it creates an oxygen debt.
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What does anaerobic respiration (fermentation) produce in plant and yeast cells?
Ethanol and carbon dioxide.
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List the reflex arc pathway in order.
Stimulus, receptor, sensory neurone, relay neurone, motor neurone, effector, response.
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What effect does insulin have on blood glucose?
It lowers blood glucose by making cells absorb glucose and the liver store it as glycogen.
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What effect does glucagon have on blood glucose?
It raises blood glucose by converting stored glycogen back into glucose.
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How is Type 1 diabetes treated?
With insulin injections, since the pancreas produces little or no insulin.
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What is Type 2 diabetes linked to and how is it managed?
Linked to obesity; managed through diet, exercise, and sometimes medication.
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How does the body respond to being too hot?
Sweating and vasodilation (blood vessels near the skin widen).
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How does the body respond to being too cold?
Shivering, vasoconstriction, and hairs standing up.
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How do you estimate population size from a quadrat sample?
(Number of organisms in the sample area divided by the sample area) multiplied by the total area.
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What are biotic and abiotic factors?
Biotic factors are living influences like predators or disease; abiotic factors are non-living, like temperature or pH.
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Chemistry — atoms, bonding & quantitative

Atoms and the periodic table

Atoms have a tiny, dense nucleus (protons and neutrons) surrounded by electrons in shells. Protons carry a +1 charge, electrons -1, neutrons no charge. Atomic number = number of protons (and electrons in a neutral atom). Mass number = protons + neutrons.

Isotopes are atoms of the same element with the same proton number but a different neutron number, so different mass numbers. Relative atomic mass (Ar) is the weighted mean mass of all isotopes compared to carbon-12.

Electron shells fill up with 2, 8, 8 electrons (lowest energy shell first). The group number of a main-group element equals its outer-shell electron count; the period number equals the number of shells in use.

Bonding

  • Ionic bonding: metals lose electrons, non-metals gain electrons, forming charged ions held together by strong electrostatic forces in a giant lattice. Ionic compounds have high melting and boiling points and conduct electricity only when molten or dissolved (ions become free to move).
  • Covalent bonding: non-metal atoms share pairs of electrons. Simple molecules (like water or CO2) have low melting points because only weak intermolecular forces need breaking, not the strong covalent bonds themselves - a very common mix-up.
  • Giant covalent structures (diamond, graphite, silicon dioxide) have very high melting points because many strong covalent bonds must be broken.
  • Metallic bonding: a lattice of positive metal ions in a 'sea' of delocalised electrons. This explains why metals conduct electricity and heat, and why they are malleable (layers of ions can slide).

Quantitative chemistry

Conservation of mass: no atoms are lost or made in a reaction, so the total mass of reactants equals the total mass of products in a closed system. If a gas escapes, the measured mass can appear to decrease.

Relative formula mass (Mr) is found by adding up the Ar values of all atoms in the formula.

Moles: the mole is the unit for amount of substance. Use mass (g) = moles x Mr to convert between mass and moles. Avogadro's number (6.02 x 10^23) is the number of particles in one mole, though OCR Combined Science focuses mainly on mass-mole calculations rather than particle counts.

Percentage yield = (actual yield / theoretical yield) x 100. Yield is never 100% in real reactions because of side reactions, incomplete reactions, or loss during transfer/purification.

Common mistakes

  • Confusing ionic and covalent structures when explaining melting points.
  • Forgetting electron shells fill 2, 8, 8, not evenly by group number alone.
  • Mixing up mass number and atomic number on isotope questions.
  • Forgetting to balance equations before doing mass calculations.
  • Atomic number = number of protons = number of electrons in a neutral atom.
  • Mass number = protons + neutrons; isotopes share atomic number but differ in mass number.
  • Electron shells fill in the order 2, 8, 8 from the nucleus outward.
  • Ionic bonds form by electron transfer between metals and non-metals, giving giant lattices with high melting points.
  • Covalent bonds involve non-metal atoms sharing electron pairs; simple molecular substances have low melting points due to weak intermolecular forces.
  • Giant covalent structures like diamond and silicon dioxide have very high melting points from many strong covalent bonds.
  • Metallic bonding = positive ions in a sea of delocalised electrons, explaining conductivity and malleability.
  • Conservation of mass: total reactant mass equals total product mass in a closed system.
  • Relative formula mass (Mr) = sum of the relative atomic masses of all atoms in the formula.
  • Mass (g) = moles x Mr is the key equation linking mass and moles.
  • One mole of any substance contains 6.02 x 10^23 particles (Avogadro's number).
  • Percentage yield = (actual yield / theoretical yield) x 100, and is always below 100% in practice.
What is the atomic number of an element?
The number of protons in the nucleus (equal to electrons in a neutral atom).
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What is the mass number?
Protons + neutrons in the nucleus.
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Define isotopes.
Atoms of the same element with the same number of protons but a different number of neutrons.
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How do electron shells fill up?
In the order 2, then 8, then 8, starting from the shell closest to the nucleus.
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What is an ionic bond?
Electrostatic attraction between oppositely charged ions formed when electrons transfer from a metal to a non-metal.
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Why do ionic compounds conduct electricity only when molten or dissolved?
Because the ions are then free to move and carry charge; in the solid lattice they are fixed in place.
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What is a covalent bond?
A shared pair of electrons between two non-metal atoms.
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Why do simple molecular substances have low melting points?
Because only weak intermolecular forces between molecules need breaking, not the strong covalent bonds inside them.
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Give two examples of giant covalent structures.
Diamond and silicon dioxide (also graphite).
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Describe metallic bonding.
Positive metal ions arranged in a lattice, surrounded by a sea of delocalised electrons.
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State the law of conservation of mass.
In a closed system, the total mass of reactants equals the total mass of products - atoms are neither created nor destroyed.
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How do you calculate relative formula mass (Mr)?
Add up the relative atomic masses (Ar) of every atom shown in the chemical formula.
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What equation links mass and moles?
Mass (g) = moles x Mr.
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What is Avogadro's number?
6.02 x 10^23, the number of particles in one mole of a substance.
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How do you calculate percentage yield?
(Actual yield / theoretical yield) x 100.
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Chemistry — changes, rates & organic

Rates of reaction

Rate = amount of reactant used or product formed ÷ time. Units can be g/s, cm3/s or mol/s.

Four factors speed up a reaction: higher temperature, higher concentration (or pressure for gases), smaller particle size (bigger surface area), and adding a catalyst.

Collision theory explains this: particles must collide with enough energy (at least the activation energy) and the right orientation. More collisions or more energetic collisions mean a faster rate.

Catalysts speed up a reaction without being used up and without changing the products. They work by lowering the activation energy, providing an alternative reaction pathway.

Rate can be measured by: change in mass (gas escaping, use a balance), volume of gas produced (gas syringe), or time taken for a precipitate to obscure a mark (the 'disappearing cross' method with sodium thiosulfate and hydrochloric acid).

Gradient of a graph (amount vs time) gives the rate at that point. A steeper line means faster rate; the line flattens when the reaction finishes (a reactant is used up).

Reversible reactions and equilibrium

A reversible reaction can go forwards and backwards, shown by the symbol ⇌.

In a closed system, a reversible reaction reaches dynamic equilibrium, where the forward and reverse rates are equal and concentrations of reactants and products stay constant (but not necessarily equal).

Le Chatelier's principle: if you change the conditions (temperature, pressure, concentration), the equilibrium shifts to oppose the change.

Energy changes

Exothermic reactions release energy to the surroundings, so temperature increases (e.g. combustion, neutralisation, respiration).

Endothermic reactions take in energy, so temperature decreases (e.g. thermal decomposition, citric acid + sodium bicarbonate).

Bond breaking requires energy (endothermic); bond making releases energy (exothermic). Overall energy change = energy to break bonds minus energy released making bonds.

Organic chemistry

Crude oil is a mixture of hydrocarbons, mostly alkanes, separated by fractional distillation using differences in boiling point. Shorter chains have lower boiling points and rise higher in the column (e.g. petrol gases); longer chains (bitumen) are collected lower down.

Alkanes are saturated hydrocarbons with the general formula CnH2n+2 (e.g. methane CH4, ethane C2H6).

Cracking breaks long-chain hydrocarbons into shorter, more useful alkanes and alkenes, using heat with a catalyst (catalytic cracking) or steam at high temperature.

Alkenes are unsaturated, contain a C=C double bond, general formula CnH2n, and decolourise orange bromine water (a key test).

Common mistakes

Don't say a catalyst 'speeds up the reaction by increasing temperature' — it lowers activation energy instead.

Don't confuse exothermic (temperature rises) with endothermic (temperature falls) — always link to surroundings, not the reacting chemicals.

Remember increasing pressure only affects rate for gases, not solids or liquids.

Always state that catalysts are chemically unchanged and can be reused.

  • Rate of reaction = amount of reactant used or product formed ÷ time taken.
  • Four factors increase rate: higher temperature, higher concentration/pressure, smaller particle size, and a catalyst.
  • Catalysts speed up reactions by lowering activation energy and are not used up.
  • Exothermic reactions release energy, so surrounding temperature rises (e.g. combustion, neutralisation).
  • Endothermic reactions take in energy, so surrounding temperature falls (e.g. thermal decomposition).
  • Reversible reactions reach dynamic equilibrium when forward and reverse rates are equal in a closed system.
  • Le Chatelier's principle: equilibrium shifts to oppose any change in temperature, pressure or concentration.
  • Crude oil is separated by fractional distillation, based on differences in boiling point.
  • Alkanes are saturated hydrocarbons with general formula CnH2n+2, e.g. methane CH4.
  • Alkenes are unsaturated hydrocarbons with general formula CnH2n and contain a C=C double bond.
  • Alkenes decolourise orange bromine water; alkanes do not.
  • Cracking converts long-chain hydrocarbons into shorter, more useful alkanes and alkenes using heat and a catalyst or steam.
What is the formula for rate of reaction?
Rate = amount of reactant used or product formed divided by time taken.
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Name four factors that increase reaction rate.
Higher temperature, higher concentration or pressure, smaller particle size, and using a catalyst.
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How does a catalyst speed up a reaction?
It lowers the activation energy by providing an alternative reaction pathway, without being used up itself.
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What happens to temperature in an exothermic reaction?
The temperature of the surroundings increases as energy is released.
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What happens to temperature in an endothermic reaction?
The temperature of the surroundings decreases as energy is taken in.
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Give two examples of endothermic reactions.
Thermal decomposition, and citric acid reacting with sodium bicarbonate.
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What is dynamic equilibrium?
In a closed system, the state where forward and reverse reaction rates are equal, so concentrations stay constant.
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What does Le Chatelier's principle state?
If conditions change, the equilibrium shifts to oppose that change.
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How is crude oil separated into fractions?
By fractional distillation, using differences in boiling point of the hydrocarbons.
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What is the general formula for alkanes?
CnH2n+2, e.g. methane is CH4.
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What is the general formula for alkenes?
CnH2n, and they contain a C=C double bond.
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How do you test for an alkene?
Add orange bromine water; it decolourises with an alkene but stays orange with an alkane.
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What is cracking and why is it done?
Breaking long-chain hydrocarbons into shorter, more useful alkanes and alkenes using heat with a catalyst or steam.
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Name two ways to measure rate of reaction in an experiment.
Measuring change in mass (gas escaping) or volume of gas produced with a gas syringe; also timing a precipitate obscuring a mark.
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What does a steeper gradient on a rate graph mean?
A faster rate of reaction at that point in time.
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Physics — energy, electricity & particles

Energy stores and transfers

Energy is never created or destroyed, only transferred between stores: kinetic, thermal, chemical, elastic potential, gravitational potential, magnetic, electrostatic and nuclear.

  • Kinetic energy (J) = 0.5 x mass (kg) x velocity squared (m/s)
  • Gravitational potential energy (J) = mass (kg) x gravitational field strength (N/kg) x height (m). On Earth, g = 9.8 N/kg (sometimes rounded to 10).
  • Elastic potential energy (J) = 0.5 x spring constant (N/m) x extension squared (m), only while the spring obeys Hooke's law.

Conservation and dissipation

Useful energy transfers always lose some energy to the surroundings, usually as heat, through friction, air resistance or electrical resistance. This is called dissipation. Insulation (like loft insulation, u-values, cavity wall fill) reduces unwanted transfers by thermal conduction and convection.

  • Efficiency = (useful energy output / total energy input) x 100%. Efficiency can never reach 100% because some energy always dissipates.

Electricity basics

Current (A) is the rate of flow of charge. Charge (C) = current (A) x time (s). Potential difference, or voltage (V), is the energy transferred per unit charge: V = energy (J) / charge (C).

  • Ohm's law: potential difference (V) = current (A) x resistance (ohms). Resistance is measured in ohms.
  • In series circuits, current is the same everywhere and voltage splits across components; resistances add up.
  • In parallel circuits, voltage is the same across each branch and current splits, so total resistance decreases as more branches are added.
  • Power (W) = current (A) x potential difference (V), also power = energy transferred (J) / time (s).
  • Mains electricity in the UK is AC (alternating current) at 230 V and 50 Hz. Household wiring uses live (brown), neutral (blue) and earth (green/yellow) wires.

Common mistakes

Students often confuse energy and power, forget to square velocity or extension in the equations, or think resistance splits equally in parallel circuits (it does not unless the resistors are identical). Always keep units consistent (kg, m, s, J, W, V, A, ohms).

Particle model of matter

Particles in solids, liquids and gases differ in arrangement, movement and energy. Heating increases particle kinetic energy, which can cause a change of state without a temperature change during the change itself (specific latent heat). Density (kg/m3) = mass (kg) / volume (m3): solids and liquids are usually denser than gases because particles are closer together.

  • Kinetic energy = 0.5 x mass x velocity squared, in joules.
  • Gravitational potential energy = mass x g x height, where g = 9.8 N/kg on Earth.
  • Efficiency = (useful output / total input) x 100%, and it can never reach 100%.
  • Charge (coulombs) = current (amps) x time (seconds).
  • Ohm's law: potential difference = current x resistance.
  • In series circuits, current is the same at every point; in parallel circuits, potential difference is the same across each branch.
  • Power = current x potential difference = energy transferred / time.
  • UK mains electricity is AC at 230 V and a frequency of 50 Hz.
  • The three mains wires are live (brown), neutral (blue) and earth (green and yellow stripes).
  • Adding more resistors in parallel decreases the total resistance of a circuit.
  • A change of state happens at constant temperature because the energy goes into breaking or forming bonds, not raising kinetic energy.
  • Density = mass / volume, measured in kg per cubic metre.
What is the equation for kinetic energy?
Kinetic energy = 0.5 x mass x velocity squared (in joules).
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What is the equation for gravitational potential energy, and what is g on Earth?
GPE = mass x g x height; g = 9.8 N/kg on Earth.
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What is the equation for efficiency, and can it ever be 100%?
Efficiency = (useful energy output / total energy input) x 100%; it can never reach 100% because some energy always dissipates as heat.
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What is Ohm's law?
Potential difference = current x resistance (V = I x R).
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How does current behave in a series circuit?
It is the same at every point in the circuit.
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How does potential difference behave across branches in a parallel circuit?
It is the same across each branch.
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What happens to total resistance when you add more resistors in parallel?
Total resistance decreases.
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What is the equation linking charge, current and time?
Charge (C) = current (A) x time (s).
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What is the equation for electrical power?
Power = current x potential difference (also power = energy transferred / time).
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What are the voltage and frequency of UK mains electricity?
230 V, 50 Hz, alternating current (AC).
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What are the colours of the live, neutral and earth wires?
Live is brown, neutral is blue, earth is green and yellow stripes.
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Why does temperature stay constant during a change of state?
The energy supplied breaks or forms bonds between particles rather than increasing their kinetic energy.
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What is the equation for density?
Density = mass / volume, measured in kg per cubic metre.
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What is the equation for elastic potential energy?
Elastic potential energy = 0.5 x spring constant x extension squared, valid while Hooke's law is obeyed.
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Name three ways energy can be dissipated as heat.
Friction between moving parts, air resistance, and electrical resistance in wires.
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Physics — forces, waves & magnetism

Forces basics

A force is a push or pull measured in newtons (N). Forces are vectors, so direction matters.

Contact forces (friction, air resistance, tension, normal contact) need touching objects.

Non-contact forces (gravity, magnetic, electrostatic) act at a distance.

Resultant force is the single force that has the same effect as all forces combined.

Weight (N) = mass (kg) x gravitational field strength (N/kg). On Earth g is about 10 N/kg (sometimes 9.8).

Mass is the amount of matter and stays constant; weight changes with gravitational field strength.

Newton's Laws and motion

Newton's First Law: an object stays at rest or constant velocity unless a resultant force acts on it.

Newton's Second Law: force (N) = mass (kg) x acceleration (m/s squared), written F = ma.

Newton's Third Law: every action force has an equal and opposite reaction force.

Speed (m/s) = distance (m) / time (s). Acceleration (m/s squared) = change in velocity / time taken.

A common mistake is confusing speed and velocity - velocity includes direction, speed does not.

Distance-time graphs: gradient is speed; a flat line means stationary; a curve means changing speed.

Velocity-time graphs: gradient is acceleration; area under the graph is distance travelled.

Stopping distance and forces in action

Stopping distance = thinking distance + braking distance.

Thinking distance increases with speed and reaction time (alcohol, drugs, tiredness, distraction make it worse).

Braking distance increases with speed, poor tyre tread, wet or icy roads, and worn brakes.

A key exam trap: doubling speed more than doubles braking distance because kinetic energy increases with speed squared.

Waves

Waves transfer energy and information, not matter, from one place to another.

Transverse waves (like light and all electromagnetic waves) vibrate at right angles to the direction of travel.

Longitudinal waves (like sound) vibrate parallel to the direction of travel, with compressions and rarefactions.

Wave speed (m/s) = frequency (Hz) x wavelength (m), written v = f x lambda.

Frequency is measured in hertz (Hz) - the number of waves per second.

Amplitude is the maximum displacement from the rest position; it relates to energy carried, not speed.

Sound cannot travel through a vacuum because it needs particles to vibrate; light can travel through a vacuum.

The electromagnetic spectrum in order of increasing frequency: radio, microwave, infrared, visible light, ultraviolet, X-ray, gamma.

Magnetism

Magnetic fields are strongest at the poles and their direction runs from north to south outside the magnet.

Like poles repel, unlike poles attract.

A permanent magnet always produces its own field; an induced magnet only becomes magnetic when placed in a field and loses most magnetism when removed.

A current-carrying wire creates a magnetic field around it - this is the basis of electromagnets.

An electromagnet's strength increases with more coil turns, higher current, or an iron core.

Common mistake: students forget field lines always point from north to south outside the magnet, and that magnetic field strength decreases with distance from the magnet.

  • Weight (N) = mass (kg) x gravitational field strength (N/kg), and g is about 10 N/kg on Earth.
  • Newton's Second Law: force (N) = mass (kg) x acceleration (m/s squared).
  • Stopping distance = thinking distance + braking distance, and doubling speed more than doubles braking distance.
  • Wave speed (m/s) = frequency (Hz) x wavelength (m).
  • Transverse waves vibrate at right angles to travel direction; longitudinal waves vibrate parallel to it, with compressions and rarefactions.
  • Sound needs a medium and cannot travel through a vacuum; light and all electromagnetic waves can.
  • The EM spectrum order of increasing frequency is radio, microwave, infrared, visible light, ultraviolet, X-ray, gamma.
  • On a distance-time graph the gradient gives speed; on a velocity-time graph the gradient gives acceleration and the area gives distance.
  • Like magnetic poles repel and unlike poles attract.
  • Induced magnets only become magnetic in a field and lose most magnetism when the field is removed, unlike permanent magnets.
  • An electromagnet gets stronger with more coil turns, more current, or an iron core.
  • Mass stays constant everywhere, but weight changes because it depends on gravitational field strength.
What is the equation linking force, mass and acceleration?
Force (N) = mass (kg) x acceleration (m/s squared)
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What is the equation for weight?
Weight (N) = mass (kg) x gravitational field strength (N/kg)
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What is stopping distance made up of?
Thinking distance plus braking distance
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Why does braking distance increase so much with speed?
Because kinetic energy increases with speed squared, so doubling speed more than doubles braking distance
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What is the wave speed equation?
Wave speed (m/s) = frequency (Hz) x wavelength (m)
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What type of wave is sound?
Longitudinal - vibrations are parallel to the direction of travel, with compressions and rarefactions
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What type of wave is light?
Transverse - vibrations are at right angles to the direction of travel
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Can sound travel through a vacuum?
No, it needs particles of a medium to vibrate through
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List the EM spectrum from lowest to highest frequency.
Radio, microwave, infrared, visible light, ultraviolet, X-ray, gamma
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What does the gradient of a distance-time graph show?
Speed
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What does the area under a velocity-time graph show?
Distance travelled
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State Newton's Third Law.
Every action force has an equal and opposite reaction force
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Do like magnetic poles attract or repel?
Repel; unlike poles attract
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What is the difference between an induced magnet and a permanent magnet?
An induced magnet only becomes magnetic in a magnetic field and loses most magnetism when removed; a permanent magnet keeps its own field
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How can you increase the strength of an electromagnet?
Add more coil turns, increase the current, or use an iron core
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