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Biology — cells, organisation & infection

Cell structure

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 (only in green parts).

Bacterial cells are much smaller and have no nucleus - instead they have a single loop of DNA plus small rings called plasmids, a cell wall, and sometimes a flagellum for movement.

Specialised cells

  • Sperm cells: long tail (flagellum) for swimming, lots of mitochondria for energy, acrosome enzymes to digest the egg membrane.
  • Nerve cells: long and thin with branching dendrites to carry electrical impulses.
  • Muscle cells: contain protein filaments that slide to shorten the cell, and many mitochondria.
  • Root hair cells: large surface area to absorb water and minerals from soil.

Microscopy and magnification

Magnification = image size divided by actual size. Always convert units carefully (1mm = 1000 micrometres).

Light microscopes can magnify up to about x1500 and resolve detail down to around 200nm.

Electron microscopes have much higher resolution (down to about 0.1nm), so they reveal smaller structures like ribosomes and detailed mitochondria structure.

Common mistake: mixing up magnification (how much bigger the image looks) with resolution (how much detail you can see) - a common exam trap.

Cell organisation

Cells work up in a hierarchy: cells, then tissues (a group of similar cells doing the same job, eg muscular tissue), then organs (different tissues working together, eg the stomach), then organ systems (eg the digestive system), then the whole organism.

The digestive system includes glands (produce enzymes), the stomach and small intestine (digestion and absorption), the liver (makes bile) and the large intestine (absorbs water).

Enzymes and digestion

Enzymes are biological catalysts made of protein. Each enzyme has an active site with a specific shape that only fits its substrate (lock and key).

High temperature or wrong pH denatures the enzyme - the active site changes shape permanently so it can no longer bind its substrate.

Amylase breaks down starch into sugars, protease breaks down proteins into amino acids, lipase breaks down fats into fatty acids and glycerol.

Infection and disease

Pathogens are microorganisms that cause disease: bacteria, viruses, fungi and protists.

Bacteria reproduce by simple cell division (binary fission) and can double roughly every 20 minutes in ideal conditions; some make you ill by producing toxins.

Viruses reproduce by invading living cells and using them to replicate, then bursting (lysing) the cell.

Common mistake: antibiotics kill bacteria, NOT viruses - this catches out a lot of students.

Vaccines contain a dead or inactive form of a pathogen to trigger the immune system to make antibodies and memory cells, giving future protection without causing the disease itself.

  • Plant cells have a cell wall, permanent vacuole and chloroplasts that animal cells do not have.
  • Bacterial cells have no nucleus - just a single loop of DNA plus plasmids.
  • Magnification = image size divided by actual size (always match your units).
  • Light microscopes resolve down to about 200nm; electron microscopes resolve down to about 0.1nm.
  • Sperm cells have many mitochondria and an acrosome to help fertilise the egg.
  • Enzymes are proteins with a specific-shaped active site that fits only one substrate (lock and key).
  • High temperature or extreme pH denatures an enzyme, permanently changing its active site shape.
  • Amylase digests starch, protease digests protein, lipase digests fats.
  • Bacteria reproduce by binary fission and can double roughly every 20 minutes in ideal conditions.
  • Viruses reproduce inside living host cells and then burst (lyse) the cell to release more viruses.
  • Antibiotics kill bacteria but do not work against viruses.
  • Vaccines contain a dead or inactive pathogen to trigger antibody and memory cell production.
Name three structures found in plant cells but not animal cells.
Cell wall (cellulose), permanent vacuole, and chloroplasts.
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What is different about a bacterial cell compared to an animal cell?
No nucleus - it has a single loop of DNA plus plasmids, and a cell wall.
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How do you calculate magnification?
Magnification = image size / actual size.
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What is the approximate resolution limit of a light microscope?
About 200nm.
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Why do sperm cells have lots of mitochondria?
To release energy for swimming to the egg.
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What is the lock and key model of enzyme action?
An enzyme's active site has a specific shape that only fits its matching substrate.
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What happens to an enzyme if it gets too hot or the pH is wrong?
It denatures - the active site changes shape permanently and stops working.
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What does amylase break down?
Starch, into sugars.
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What does lipase break down?
Fats, into fatty acids and glycerol.
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Put these in order from smallest to largest: organ, cell, tissue, organism, organ system.
Cell, tissue, organ, organ system, organism.
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How do bacteria reproduce and how fast can they multiply?
By binary fission; they can double roughly every 20 minutes in ideal conditions.
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How do viruses reproduce?
They invade a living host cell, use it to replicate, then burst (lyse) the cell.
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Do antibiotics work against viruses?
No - antibiotics only kill bacteria, not viruses.
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What is in a vaccine and why does it work?
A dead or inactive form of the pathogen, which triggers antibody and memory cell production for future protection.
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What is the role of the root hair cell's large surface area?
It increases the rate of water and mineral absorption from the soil.
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Biology — bioenergetics, homeostasis & ecology

Bioenergetics

Respiration releases energy from glucose in every living cell.

  • Aerobic respiration (needs oxygen): glucose + oxygen -> carbon dioxide + water. Happens in the mitochondria and releases a lot of energy.
  • Anaerobic respiration (no oxygen) in animals: glucose -> lactic acid. Releases much less energy and causes an 'oxygen debt' plus muscle fatigue.
  • Anaerobic respiration in plants/yeast: glucose -> ethanol + carbon dioxide (fermentation).
  • Photosynthesis is the reverse-style equation: carbon dioxide + water --light--> glucose + oxygen. It happens in chloroplasts using light energy.
  • Limiting factors of photosynthesis: light intensity, carbon dioxide concentration, temperature. Any one of these can 'cap' the rate even if the others are high. A common mistake is forgetting temperature can become limiting because enzymes denature above about 45 degrees C.

Homeostasis

Homeostasis is keeping the internal environment stable despite external changes, using negative feedback.

  • Key example: blood glucose control. Insulin (from the pancreas) lowers blood glucose by telling liver and muscle cells to take up glucose and store it as glycogen. Glucagon raises blood glucose by breaking glycogen back into glucose.
  • Type 1 diabetes: the pancreas produces little or no insulin. Treated with insulin injections.
  • Type 2 diabetes: body cells stop responding properly to insulin (insulin resistance), often linked to obesity. Treated with diet, exercise, sometimes medication.
  • Thermoregulation: the hypothalamus in the brain monitors body temperature (normal core temp is about 37 degrees C). Too hot: vasodilation, sweating. Too cold: vasoconstriction, shivering, hairs stand up (less useful in humans but still examined).
  • The kidneys control water and ion balance and remove urea. ADH (from the pituitary gland) controls how much water is reabsorbed - more ADH means more water reabsorbed and more concentrated urine.

Ecology

Ecosystems have interdependent populations - a common mistake is ignoring competition.

  • Organisms compete for resources: plants for light, water, space, nutrients; animals for food, mates, territory.
  • Abiotic (non-living) factors affecting communities: light intensity, temperature, moisture, soil pH, wind.
  • Biotic (living) factors: predation, food availability, disease, new predators/competitors arriving.
  • Energy is lost at each stage of a food chain (as heat from respiration, in movement, in waste/faeces and in body parts not eaten). Roughly only about 10% of energy transfers to the next trophic level - this is why food chains rarely have more than 4-5 levels.
  • Carbon cycle: carbon dioxide is removed by photosynthesis, returned by respiration, combustion and decomposition.
  • Biodiversity is under threat from deforestation, pollution, and global warming. Maintaining biodiversity is important for ecosystem stability and future resources.
  • Aerobic respiration equation: glucose + oxygen -> carbon dioxide + water, releasing a large amount of energy in mitochondria.
  • Anaerobic respiration in animal muscle produces lactic acid and causes oxygen debt.
  • Anaerobic respiration in yeast/plants produces ethanol and carbon dioxide (fermentation).
  • Photosynthesis equation: carbon dioxide + water --light energy--> glucose + oxygen, in chloroplasts.
  • The three limiting factors of photosynthesis are light intensity, carbon dioxide concentration and temperature.
  • Insulin lowers blood glucose by causing cells to take up glucose and store it as glycogen.
  • Glucagon raises blood glucose by converting stored glycogen back into glucose.
  • Type 1 diabetes means little/no insulin produced; Type 2 diabetes means cells resist insulin's effect.
  • Normal human core body temperature is about 37 degrees C, monitored by the hypothalamus.
  • ADH increases water reabsorption in the kidneys, producing more concentrated urine.
  • Only about 10% of energy transfers from one trophic level to the next in a food chain.
  • Organisms compete for light, water, space and nutrients (plants) or food, mates and territory (animals).
What is the word equation for aerobic respiration?
Glucose + oxygen -> carbon dioxide + water (releases a lot of energy).
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What does anaerobic respiration produce in animal muscle cells?
Lactic acid, along with much less energy than aerobic respiration.
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What does anaerobic respiration produce in yeast?
Ethanol and carbon dioxide (fermentation).
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What is the word equation for photosynthesis?
Carbon dioxide + water, using light energy, -> glucose + oxygen.
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Name the three limiting factors of photosynthesis.
Light intensity, carbon dioxide concentration, and temperature.
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What hormone lowers blood glucose, and where is it made?
Insulin, made in the pancreas.
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What hormone raises blood glucose by breaking down glycogen?
Glucagon.
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What is the difference between Type 1 and Type 2 diabetes?
Type 1: pancreas makes little or no insulin. Type 2: body cells become resistant to insulin's effect.
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Which part of the brain monitors and controls body temperature?
The hypothalamus.
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What happens to blood vessels near the skin when you are too hot?
Vasodilation - they widen, allowing more heat to be lost.
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What does ADH do in the kidneys?
Increases the reabsorption of water, producing more concentrated urine.
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Roughly what percentage of energy transfers between trophic levels in a food chain?
About 10 percent.
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Give three abiotic factors that affect a community.
Any three of: light intensity, temperature, moisture level, soil pH, wind intensity.
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Why do food chains rarely have more than 4-5 trophic levels?
Because so much energy is lost (as heat, movement, waste) at each stage that not enough remains to support further levels.
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What are plants competing for in an ecosystem?
Light, water, space and mineral nutrients.
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Chemistry — atoms, bonding & quantitative

Atomic structure

Atoms have a tiny, dense nucleus (protons + neutrons) surrounded by electrons in shells. Protons have a +1 charge, electrons -1, neutrons no charge, and atoms are neutral overall (equal protons and electrons).

  • Atomic number = number of protons (also equals electrons in a neutral atom).
  • Mass number = protons + neutrons.
  • Isotopes are atoms of the same element with the same number of protons but different numbers of neutrons.
  • Electron shells fill in order: 2, 8, 8 (first three shells), lowest energy shell first.
  • Radius of an atom is about 0.1 nanometres (1 x 10^-10 m); the nucleus radius is about 1/10,000 of that.

The periodic table

Elements are arranged in order of atomic number. Groups (columns) share the same number of outer electrons and similar chemical properties. Periods (rows) show the number of electron shells. Metals lose electrons to form positive ions; non-metals gain electrons to form negative ions.

Ionic bonding

Happens between a metal and a non-metal. Electrons transfer from metal to non-metal, forming oppositely charged ions held together by strong electrostatic forces in a giant ionic lattice. This gives high melting and boiling points, and ionic compounds conduct electricity only when molten or dissolved (ions must be free to move).

Covalent bonding

Happens between non-metals. Atoms share pairs of electrons. Simple molecular substances (like water or CO2) have weak intermolecular forces so low melting points, and don't conduct electricity. Giant covalent structures (like diamond or silicon dioxide) have very high melting points due to many strong covalent bonds.

Metallic bonding

Metal atoms are held together by strong attraction between positive metal ions and a 'sea' of delocalised electrons. This explains why metals conduct electricity and heat (electrons are free to move) and why they're malleable (layers of ions can slide).

Quantitative chemistry

  • Relative atomic mass (Ar) is on the periodic table; relative formula mass (Mr) is the sum of all Ar values in the formula.
  • Conservation of mass: no atoms are gained or lost in a reaction, so total mass of reactants equals total mass of products (balance equations!).
  • Moles: number of moles = mass (g) / Mr (g/mol).
  • Common mistake: forgetting to balance chemical equations before calculating masses, or mixing up mass number and atomic number.
  • Common mistake: thinking ionic compounds conduct electricity as solids — they only conduct when molten or in solution.
  • Atomic number = number of protons = number of electrons in a neutral atom
  • Mass number = protons + neutrons
  • Isotopes have the same protons but different numbers of neutrons
  • Electron shells fill in the order 2, 8, 8 starting from the lowest energy shell
  • Atomic radius is about 0.1 nanometres (1 x 10^-10 metres)
  • Ionic bonding is electron transfer between a metal and a non-metal, forming a giant lattice
  • Ionic compounds conduct electricity only when molten or dissolved, not as solids
  • Covalent bonding is electron sharing between non-metal atoms
  • Simple covalent molecules have low melting points due to weak intermolecular forces
  • Metallic bonding involves delocalised electrons that let metals conduct and bend
  • Moles = mass in grams divided by relative formula mass (Mr)
  • Mass is always conserved in a chemical reaction: total reactant mass equals total product mass
What is the atomic number of an element?
The number of protons in the nucleus (equals the number of electrons in a neutral atom).
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What is the mass number?
The total number of protons plus neutrons in an atom.
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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 first three shells?
In the order 2, 8, 8, filling the lowest energy shell first.
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What is the approximate radius of an atom?
About 0.1 nanometres, or 1 x 10^-10 metres.
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What type of bonding occurs between a metal and a non-metal?
Ionic bonding, where electrons transfer to form oppositely charged ions in a giant lattice.
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Why can ionic compounds only conduct electricity when molten or dissolved?
Because the ions are only free to move in those states; in a solid the ions are fixed in place.
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What type of bonding occurs between two non-metals?
Covalent bonding, where atoms share pairs of electrons.
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Why do simple covalent molecules have low melting points?
Because the weak intermolecular forces between molecules need little energy to overcome (the strong covalent bonds inside the molecule are not broken).
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Give an example of a giant covalent structure and why it has a high melting point.
Diamond (or silicon dioxide) — many strong covalent bonds throughout the structure need a lot of energy to break.
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Describe metallic bonding.
Positive metal ions held together by strong attraction to a sea of delocalised electrons.
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Why do metals conduct electricity?
Because delocalised electrons are free to move through the structure and carry charge.
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How do you calculate the number of moles of a substance?
Moles = mass in grams divided by the relative formula mass (Mr).
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What does conservation of mass mean in a chemical reaction?
No atoms are lost or gained, so the total mass of reactants equals the total mass of products.
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How is relative formula mass (Mr) calculated?
By adding up the relative atomic masses (Ar) of all atoms shown in the chemical formula.
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Chemistry — changes, rates & organic

Rate of reaction

Rate measures how fast reactants turn into products. You can measure it by how fast a reactant is used up or a product is formed, over time. Units are usually g/s or cm3/s.

Four factors speed up rate: temperature, concentration (or pressure for gases), surface area, and catalysts. Higher temperature gives particles more kinetic energy, so they move faster, collide more often, and more collisions have enough energy (the activation energy) to react. Higher concentration or pressure means more particles in a given space, so more frequent collisions. Smaller pieces (bigger surface area) expose more particles to reaction, again giving more frequent collisions. A catalyst lowers the activation energy by giving reactants an alternative pathway, without being used up itself.

Collision theory

For a reaction to happen, particles must collide with enough energy (at least the activation energy) and the right orientation. Anything that raises collision frequency or energy raises rate.

Measuring rate

Common methods: timing how long a precipitate takes to block a cross (mass/volume vs time gives a curve that levels off when a reactant runs out), or collecting gas volume in a syringe over time. The steeper the graph line, the faster the rate at that point. Tangents give rate at a specific time.

Reversible reactions and equilibrium

Some reactions go both ways, shown by the symbol with two arrows (⇌). At equilibrium, forward and reverse reactions happen at the same rate, so concentrations stay constant (not equal). Le Chatelier's principle: if you change conditions (temperature, pressure, concentration), the equilibrium shifts to oppose the change and partially cancel it out.

Crude oil and hydrocarbons

Crude oil is a mixture of hydrocarbons, mostly alkanes (general formula CnH2n+2), separated by fractional distillation using differences in boiling point. Short-chain fractions are more flammable, less viscous, and have lower boiling points than long-chain fractions.

Cracking

Cracking breaks long-chain, less useful hydrocarbons into shorter, more useful alkanes and alkenes, using heat with a catalyst, or steam. This matches supply to demand for smaller molecules like fuels.

Common mistakes

  • Forgetting rate units must include time (per second).
  • Mixing up equilibrium (equal rates, not equal amounts) with a completed reaction.
  • Saying a catalyst 'speeds up' without mentioning activation energy.
  • Forgetting alkanes are saturated (single bonds only) while alkenes (cracking product) are unsaturated with a C=C double bond.
  • Rate of reaction can be measured in g/s or cm3/s by tracking reactant used or product formed over time.
  • Collision theory: reactions need particle collisions with energy at least equal to the activation energy.
  • Increasing temperature, concentration, pressure or surface area, or adding a catalyst, increases reaction rate.
  • A catalyst speeds up a reaction by lowering the activation energy and is not used up in the reaction.
  • At equilibrium in a reversible reaction, the forward and reverse rates are equal, so concentrations stay constant.
  • Le Chatelier's principle: a system at equilibrium shifts to oppose any change in temperature, pressure or concentration.
  • Crude oil is separated into fractions by fractional distillation, based on differences in boiling point.
  • Alkanes have general formula CnH2n+2 and are saturated hydrocarbons (single C-C bonds only).
  • Cracking breaks long-chain alkanes into shorter alkanes and alkenes using a catalyst and heat, or steam.
  • Alkenes are unsaturated, containing at least one C=C double bond, unlike alkanes.
  • A steeper gradient on a rate graph (mass or volume vs time) means a faster reaction at that point.
  • Reversible reactions are shown using the symbol ⇌ between reactants and products.
What is the definition of rate of reaction?
How fast reactants are used up or products are formed, measured over time.
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Name the four main factors that increase reaction rate.
Higher temperature, higher concentration or pressure, greater surface area, and using a catalyst.
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What does collision theory say is needed for a reaction to occur?
Particles must collide with enough energy, at least the activation energy, and the right orientation.
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What is activation energy?
The minimum energy that particles need when they collide for a reaction to happen.
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How does a catalyst increase reaction rate?
It provides an alternative pathway with a lower activation energy, without being used up itself.
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What two units are commonly used to measure rate of reaction?
Grams per second (g/s) or cubic centimetres per second (cm3/s).
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What happens to forward and reverse reaction rates at equilibrium?
They become equal, so the concentrations of reactants and products stay constant.
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State Le Chatelier's principle.
If conditions at equilibrium are changed, the system shifts to oppose that change and partially cancel it out.
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How is crude oil separated into useful fractions?
By fractional distillation, which separates hydrocarbons based on their different boiling points.
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What is the general formula for alkanes?
CnH2n+2
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What is cracking and why is it done?
Breaking long-chain hydrocarbons into shorter, more useful alkanes and alkenes, to match supply with demand.
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What two methods are used to carry out cracking?
Heating with a catalyst, or mixing with steam at a high temperature.
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What structural feature makes alkenes different from alkanes?
Alkenes contain a C=C double bond and are unsaturated; alkanes only have single bonds and are saturated.
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On a rate-of-reaction graph, what does a steeper gradient mean?
The reaction is happening faster at that point in time.
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What symbol shows a reaction is reversible?
⇌ (two arrows pointing in opposite directions) between reactants and products.
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Physics — energy, electricity & particles

Energy stores and transfers

Energy is stored in eight ways: kinetic, gravitational potential, elastic potential, thermal, chemical, magnetic, electrostatic and nuclear.

Energy transfers happen by four methods: mechanically (a force doing work), electrically (a current doing work), by heating, or by radiation (light or sound).

Energy cannot be created or destroyed, only transferred, stored or dissipated - this is conservation of energy. Wasted energy usually ends up as thermal energy that spreads out (dissipates) and becomes less useful.

Key equations

  • Kinetic energy = 0.5 x mass x speed squared (KE = 0.5mv2), in joules
  • Gravitational potential energy = mass x gravitational field strength x height (GPE = mgh); use g = 9.8 N/kg
  • Power = energy transferred / time taken (P = E/t), measured in watts, where 1 watt = 1 joule per second
  • Efficiency = useful output energy / total input energy, often given as a percentage - efficiency can never be more than 1 (100%)
  • Specific heat capacity: change in thermal energy = mass x specific heat capacity x change in temperature

Electricity circuits

Current is measured in amps with an ammeter connected in series. Potential difference (voltage) is measured in volts with a voltmeter connected in parallel.

Ohm's law: potential difference = current x resistance (V = IR). Resistance is measured in ohms.

In series circuits current is the same everywhere and voltages add up; in parallel circuits voltage is the same across each branch and current splits between branches.

Electrical power = potential difference x current (P = VI), also power = current squared x resistance (P = I2R).

UK mains electricity is alternating current (AC) at about 230V; a battery supplies direct current (DC).

Common mistakes

  • Forgetting units - always check joules, watts, volts, amps and ohms are used correctly
  • Mixing up series and parallel rules for current and voltage
  • Using g = 10 instead of the exact 9.8 in calculations that need precision
  • Forgetting efficiency is always less than 1 due to wasted energy (usually as heat or sound)

Particle model and atomic structure

Atoms have a tiny, dense, positively charged nucleus (protons and neutrons) surrounded by electrons in shells. Atomic (proton) number = number of protons; mass number = protons + neutrons.

Isotopes are atoms of the same element with different numbers of neutrons.

Radioactive decay is random and cannot be predicted for a single atom. Alpha particles are stopped by paper, beta by aluminium, gamma needs thick lead or concrete.

Half-life is the time for the number of radioactive nuclei (or the activity) to halve.

  • Kinetic energy formula: KE = 0.5 x mass x speed squared, measured in joules
  • Gravitational potential energy: GPE = mass x g x height, with g = 9.8 N/kg
  • Power = energy transferred / time, and 1 watt = 1 joule per second
  • Efficiency = useful output energy / total input energy, always less than 100%
  • Ohm's law: potential difference = current x resistance (V = IR)
  • In series circuits current is constant; in parallel circuits voltage is constant across branches
  • Electrical power: P = VI, also equal to P = I2R
  • UK mains supply is alternating current (AC) at about 230 volts
  • Alpha radiation is stopped by paper, beta by aluminium, gamma by thick lead or concrete
  • Half-life is the time taken for the number of radioactive nuclei (or activity) to halve
  • Atomic number = number of protons; mass number = protons + neutrons
  • Energy is never created or destroyed, only transferred, stored or dissipated
What is the equation for kinetic energy?
KE = 0.5 x mass x speed squared, in joules
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What is the equation for gravitational potential energy?
GPE = mass x g x height, where g = 9.8 N/kg
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What is the equation linking power, energy and time?
Power = energy transferred / time taken; 1 watt = 1 joule per second
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How do you calculate efficiency?
Efficiency = useful output energy / total input energy (always less than 100%)
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State Ohm's law
Potential difference = current x resistance (V = IR)
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How is current shared in a series circuit versus a parallel circuit?
Series: current is the same everywhere. Parallel: current splits between branches
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How is voltage shared in a series circuit versus a parallel circuit?
Series: voltages add up across components. Parallel: voltage is the same across each branch
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What is the equation for electrical power using current and resistance?
P = I squared x R
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Is UK mains electricity AC or DC, and what voltage?
Alternating current (AC), about 230 volts
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What material stops alpha radiation?
A sheet of paper
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What material stops beta radiation?
A few millimetres of aluminium
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What is needed to stop gamma radiation?
Thick lead or a large thickness of concrete
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Define half-life
The time taken for the number of radioactive nuclei, or the activity, to halve
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What is an isotope?
An atom of the same element with a different number of neutrons
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What are the four ways energy can be transferred?
Mechanically, electrically, by heating, or by radiation (light or sound)
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Physics — forces, waves & magnetism

Forces basics

A force is a push or pull, measured in newtons (N). Contact forces need touching (friction, air resistance, tension, normal force); non-contact forces act at a distance (gravity, magnetic, electrostatic).

Resultant force is the single force that has the same effect as all forces combined. If forces are balanced, resultant is zero and the object stays still or moves at constant velocity (Newton's First Law).

  • Weight (N) = mass (kg) x gravitational field strength (N/kg). On Earth g is about 9.8 N/kg, often rounded to 10 N/kg in questions.
  • Mass is the amount of matter (kg) and stays constant; weight depends on gravity and changes on other planets.
  • Newton's Second Law: force = mass x acceleration (F = ma). Common mistake: mixing up mass and weight in this equation.

Motion

Speed (m/s) = distance (m) / time (s). Typical walking speed is about 1.5 m/s, running about 3 m/s, cycling about 6 m/s, cars around 13-30 m/s.

Acceleration (m/s squared) = change in velocity / time taken. On a distance-time graph, gradient equals speed; a curve means acceleration. On a velocity-time graph, gradient equals acceleration and the area under the line equals distance travelled.

Stopping distance = thinking distance + braking distance. Thinking distance increases with speed and reaction time (alcohol, drugs, tiredness, phone use all increase it). Braking distance increases with speed, poor tyre tread, wet or icy roads, and poor brakes.

Waves

Waves transfer energy without transferring matter. Transverse waves (like light and all EM 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). This is the key equation, always in this form.
  • Amplitude is the maximum displacement from the rest position, not the full peak-to-trough distance - a very common mistake.
  • The electromagnetic spectrum in order of increasing frequency: radio, microwave, infrared, visible light, ultraviolet, X-ray, gamma. All travel at 300,000,000 m/s (3 x 10^8 m/s) in a vacuum.

Magnetism

Magnets have two poles, north and south. Like poles repel, unlike poles attract. Magnetic fields point from north to south outside the magnet, shown by field lines with arrows.

A current-carrying wire creates a magnetic field around it; this is the basis of an electromagnet, made stronger by adding more coil turns, increasing current, or adding an iron core. Electromagnets are useful because they can be switched on and off, unlike permanent magnets.

Induced magnets (like iron near a magnet) only keep their magnetism while in the field; permanent magnets keep it. Common mistake: confusing magnetic materials (iron, steel, cobalt, nickel) with all metals - most metals are not magnetic.

  • Weight (N) = mass (kg) x gravitational field strength (about 9.8 N/kg on Earth, often rounded to 10 N/kg)
  • Newton's Second Law: force (N) = mass (kg) x acceleration (m/s squared)
  • Speed (m/s) = distance (m) divided by time (s)
  • Wave speed (m/s) = frequency (Hz) x wavelength (m) - the key waves equation
  • Amplitude is the maximum displacement from the rest position, not peak-to-trough distance
  • All electromagnetic waves travel at 3 x 10^8 m/s (300,000,000 m/s) in a vacuum
  • EM spectrum order by increasing frequency: radio, microwave, infrared, visible, ultraviolet, X-ray, gamma
  • Stopping distance = thinking distance + braking distance
  • On a velocity-time graph, the gradient is acceleration and the area under the graph is distance travelled
  • Transverse waves vibrate at right angles to travel direction; longitudinal waves vibrate parallel to it, with compressions and rarefactions
  • Like magnetic poles repel, unlike poles attract; field lines point from north to south outside the magnet
  • An electromagnet gets stronger with more coil turns, more current, or an iron core, and can be switched off unlike a permanent magnet
What is the equation linking weight, mass and gravitational field strength?
Weight (N) = mass (kg) x gravitational field strength (N/kg)
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What is Earth's gravitational field strength, usually rounded for calculations?
About 9.8 N/kg, often rounded to 10 N/kg
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State Newton's Second Law as an equation.
Force (N) = mass (kg) x acceleration (m/s squared)
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What does the gradient of a distance-time graph represent?
Speed
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What does the area under a velocity-time graph represent?
Distance travelled
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What is the wave speed equation?
Wave speed (m/s) = frequency (Hz) x wavelength (m)
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How is amplitude defined?
The maximum displacement of a point on a wave from its rest position
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What is the difference between a transverse and a longitudinal wave?
Transverse waves vibrate at right angles to the direction of travel; longitudinal waves vibrate parallel to it, forming compressions and rarefactions
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List the electromagnetic spectrum in order of increasing frequency.
Radio, microwave, infrared, visible light, ultraviolet, X-ray, gamma
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What speed do all electromagnetic waves travel at in a vacuum?
3 x 10^8 m/s (300,000,000 m/s)
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What are the two components of stopping distance?
Thinking distance plus braking distance
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Name three factors that increase braking distance.
High speed, worn tyre tread, and wet or icy road conditions (or poor brakes)
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What happens when two like magnetic poles are brought together?
They repel
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How can you make an electromagnet stronger?
Add more coil turns, increase the current, or add an iron core
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What is the key difference between a permanent magnet and an induced magnet?
A permanent magnet keeps its magnetism; an induced magnet only stays magnetic while in a magnetic field
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