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Welcome to GCSE Edexcel Science revision.

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Unit S P 14: Particle model.

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In a solid, particles are closely packed and vibrate about fixed positions; a solid has a fixed shape and volume.

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In a liquid, close particles move past each other, giving fixed volume but variable shape.

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In a gas, particles are widely separated and move rapidly in random directions; a gas fills its container and is readily compressed.

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Particles themselves do not swell when the gas expands.

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Gas particles are further apart; their individual sizes need not change.

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Density is mass per unit volume: rho equals mass divided by volume.

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Use mass in kilograms and volume in cubic metres for density in kilograms per cubic metre; grams and cubic centimetres instead give grams per cubic centimetre.

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Rearrange to mass equals density times volume, and volume equals mass divided by density.

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Convert carefully: one gram per cubic centimetre equals one thousand kilograms per cubic metre.

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One cubic centimetre equals ten to the power minus six cubic metres.

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The same material generally has lower density as a gas because particles are much further apart.

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Solids are often denser than liquids, but ice is less dense than liquid water because of its more open structure.

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If mass stays constant while volume increases, density decreases.

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Changes of state conserve mass in a closed system even when volume changes.

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Measure an object's mass using a zeroed balance.

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For a regular block, measure length, width and height and calculate volume equals length times width times height.

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For an irregular solid that does not absorb water (a non-porous solid), measure its volume by water displacement using a measuring cylinder or overflow can.

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Fully submerge it and avoid trapped bubbles.

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The volume of water displaced equals the solid’s volume.

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Subtract the starting volume; avoid trapped bubbles.

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Choose a method suitable for the material: an object that dissolves, absorbs water or floats needs a different liquid or an adapted procedure.

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Do not simply call a partly submerged volume its whole volume.

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For a liquid, weigh the empty dry container and then container plus a measured liquid volume.

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Subtract the empty-container mass before calculating density.

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Read liquid volume at eye level.

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For water, read the bottom of the curved surface (meniscus).

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Use an instrument with suitable scale divisions (resolution) and repeat readings.

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Use the same unit system throughout.

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A 54 grams block with volume 20 cubic centimetres has density 2.7 grams per cubic centimetre, equal to 2700 kilograms per cubic metre.

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Temperature is linked to the average kinetic energy of a substance’s particles.

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Internal energy is the total kinetic and potential energy of all its particles.

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It depends on how much substance there is, the material, its temperature and its state.

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Heating transfers energy into a system, usually increasing particle kinetic energy and temperature, or changing particle potential energy during a state change.

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A temperature is not an amount of energy.

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Specific heat capacity C is the energy needed to raise the temperature of 1 kilogram of a substance by 1 degree Celsius (or 1 kelvin).

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Units are joules per kilogram per degree Celsius, equivalently joules per kilogram per kelvin.

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Change in thermal energy, delta Q, equals mass times specific heat capacity times temperature change: M times C times delta theta.

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Use mass in kilograms, specific heat capacity in joules per kilogram per degree Celsius, and temperature change in degrees Celsius.

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A temperature increase of one degree Celsius equals an increase of one kelvin.

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For 0.5 kilograms water, C equals 4200 joules per kilogram per degree Celsius and a 10 degrees Celsius rise, delta Q equals 0.5 times 4200 times 10 equals 21000 joules.

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Specific heat capacity includes “per kilogram” in its units.

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A material with greater C needs more energy for the same mass and temperature rise.

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A larger mass also needs more energy; C is a material property, not the mass itself.

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Insulation, a lid and reducing exposed area limit unwanted energy transfers during heating or cooling.

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Low thermal conductivity and trapped air can reduce cooling.

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Melting is solid to liquid;

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freezing is liquid to solid;

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boiling or evaporation is liquid to gas;

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condensation is gas to liquid;

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sublimation is solid to gas;

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deposition is gas to solid.

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These are physical changes: the material can recover its original properties when reversed.

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In a closed system, mass is conserved; the volume may change.

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During melting or boiling of a pure substance at fixed pressure,

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temperature stays constant while supplied energy changes the particle arrangements and potential energy rather than average kinetic energy.

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Specific latent heat L is energy needed to change the state of 1 kilogram without changing temperature, in joules per kilogram.

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Latent heat of fusion refers to melting or freezing; latent heat of vaporisation refers to liquid or gas change.

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Use Q equals M times L, with mass in kilograms.

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Melting 0.2 kilograms ice with L equals 334000 joules per kilogram requires 66800 joules for the state change alone.

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If a question includes warming and a state change, calculate separate stages using M times C times delta theta and M times L, then add energies.

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Do not use M times L for an ordinary temperature rise.

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During cooling, freezing and condensation release energy to surroundings.

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A flat region on a heating or cooling curve identifies a state-change stage under the stated conditions.

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Flat stages show energy used for a state change, not a temperature rise.

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Evaporation can occur at the liquid surface below the boiling point.

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Boiling occurs throughout the liquid at the boiling temperature for the pressure.

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To estimate water's specific heat capacity, measure its mass, initial temperature and the energy transferred by a low-voltage immersion heater over a timed interval.

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Measure heater voltage and current and use E equals V times I times T, or use a suitable joulemeter.

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Stir gently for uniform temperature and record the final temperature; calculate C equals E divided by the product M times delta theta.

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Keep the heater immersed and use insulation to reduce heat loss.

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Insulate the container and use a lid to reduce losses.

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Keep the heater immersed and follow electrical safety procedures; avoid contact with hot water or heaters.

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Energy heating the container or escaping to surroundings can make calculated C too high if all supplied energy is incorrectly attributed to the water.

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Use appropriate corrections or discuss this limitation.

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For a melting-ice temperature, time graph, place a temperature probe in ice or water and record at regular intervals while energy is supplied.

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Mix carefully and keep the probe away from the heater and vessel wall.

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At ordinary pressure, a pure ice, water mixture stays near 0 degrees Celsius while the ice melts.

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Once all the ice has melted, the water warms up.

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A real graph may not have a perfectly flat section (plateau) because heat flow and the thermometer’s response affect the readings.

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Gas particles collide with container walls and exert forces on them.

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Pressure is force per area and is measured in pascals (Pa).

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For a fixed mass of gas at constant volume, raising temperature increases average particle speed.

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More frequent and stronger wall impacts increase pressure.

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Fixed volume and fixed gas mass are essential to the temperature comparison.

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In the ideal particle model, absolute zero corresponds to no random thermal motion and zero extrapolated gas pressure at fixed volume.

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It is approximately minus 273 degrees Celsius or 0 kelvin; real gases condense before reaching it.

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Convert approximately using temperature in kelvin equals temperature in degrees Celsius plus two hundred and seventy-three.

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Temperature in degrees Celsius equals temperature in kelvin minus two hundred and seventy-three.

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Kelvin temperatures are written without a degree symbol.

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20 degrees Celsius is approximately 293 kelvin.

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A 10 degrees Celsius temperature increase is a 10 kelvin increase; adding 273 is for converting absolute readings, not temperature differences.

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The simple gas model has limits: particles have finite size, attractions matter and phase changes occur.

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Do not extrapolate an ordinary gas-pressure experiment as though the gas stays gaseous down to absolute zero.

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A gas is compressible because there is substantial space between its particles.

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Pressure produces a net force perpendicular to a surface through particle collisions; it does not act only downwards.

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For a fixed mass of gas at constant temperature, reducing volume increases collision frequency with the container walls and increases pressure.

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Pressure is inversely proportional to volume: pressure times volume is constant.

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The curve follows relative pressure equals one divided by relative volume, rather than a straight-line fall.

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Use pressure one times volume one equals pressure two times volume two with consistent pressure and volume units.

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Use absolute pressure, which includes atmospheric pressure.

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If a pressure gauge shows pressure above atmospheric pressure (gauge pressure), add atmospheric pressure first.

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The fixed-mass and constant-temperature conditions matter.

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A leaking sample changes its particle number; rapid compression can heat a gas and depart from the constant-temperature relationship.

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(Higher tier) Doing work on a gas can increase its internal energy and temperature (Higher tier).

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A bicycle pump can warm during compression, so allow gas to return to the controlled temperature when investigating Boyle’s law.

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In a pressure-volume investigation, use suitable sealed apparatus, vary volume, allow temperature to settle and record corresponding pressure.

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Plot pressure against one divided by volume to test the inverse relationship; follow the apparatus pressure limits.

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That completes Particle model.

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Revisit the notes and test yourself on the revision website.
