Gas Particles, Diffusion & Pressure — Print · Grade 8 Science

Chapter: Phases of Matter

Gas Particles, Diffusion & Pressure

Learning goals

Readings for this unit

Before this unit

Review the earlier states/temperature particle models. The visible language notes explain this unit’s quantities; then connect them to its concrete records and figure.

Use three teaching sessions of about 40–45 minutes: first observe the phenomenon, draft a model and study Parts 1–2; next explain Parts 3–4 with the figures and evidence; then work the application, examples, practice, model revision and exit check. Divide any difficult part into smaller steps and revisit after feedback. Investigations, review and quizzes have separate sessions. Study the four visual parts across the scheduled sessions, then use the illustrated worked case and independent transfer questions. Extend or revisit a session when the learner cannot explain the figure; completion time is a proposed allocation, not a mastery guarantee.

Start with something to explain

What would explain the observations in gas particles, diffusion & pressure?

Illustrative evidence case. Illustrative constant-temperature records give 80 kPa at 60 mL and 120 kPa at 40 mL for one fixed gas sample.

Fixed gas particles, smaller volumeFixed gas particles, smaller volumeLarger volumeSmaller volumeIllustrative model • use the labels and stated assumptions
The dots stand for particles and are not to scale or literal colors. A fixed particle count is compressed into less space at matched temperature. More frequent wall impacts can increase gas pressure; the particles do not become smaller.

Notice and wonder

What changes without changing particle identity? Write two observations from the supplied record without guessing their cause. Include a quantity and its unit when given. An observation is what was recorded; an inference is what you think explains it.

Write one question about why the pattern occurs and one question about a comparison that could distinguish competing explanations. A testable question identifies what could be observed or measured.

Your first model

Before reading the model answer, sketch the named objects or particles and label what you think changes. Explain the trend and test whether pressure × volume stays constant. Keep this first version so you can compare it with your later explanation.

Build the language from the idea

diffusion
Spreading caused by random particle motion.
concentration
Amount or number of particles per stated volume.
gas pressure
Force per unit area from gas impacts on a surface.
compression
Reduction of the space occupied by a material.
absolute pressure
Pressure measured relative to zero pressure, rather than only above local air pressure.
model
A representation that explains selected features and makes predictions; it leaves other details out.
evidence
Relevant observations or records used to support or challenge a claim.
system boundary
The chosen limit separating the objects being studied from their surroundings.
assumption
A condition taken as true for a model or calculation and needing to be checked against the case.

A closed bag can contain matter even when its contents cannot be seen. Air has mass and occupies space.

A gas consists of widely separated particles moving in many directions. A particle is a small constituent of matter; in air, many particles are molecules, which are groups of atoms held together.

Diffusion mixes particles without a one-way conveyorDiffusion mixes particles without a one-way conveyorInitial: marked gas near left sideLater: marked gas more spread outMarked-particle count stays four. Individual motion remains in many directions.Diffusion: spreading by particle motion; no chemical reaction is implied.
Both closed-container snapshots contain twelve schematic background particles and four marked particles. The marked gas initially occupies a smaller region and is later more spread out. Particle identities and numbers remain fixed; individual motion and collisions, not a conveyor aimed toward empty space, produce spreading. Counts represent selected particles rather than an actual gas sample size.

The particles do not need a fan to begin moving. Random means their individual directions vary, not that their motion has no consequences.

Their collisions with walls produce a measurable push. We can use this model to explain spreading, squeezing and warming a gas without pretending to photograph its individual molecules.

Gas pressure comes from repeated wall collisionsGas pressure comes from repeated wall collisionsPush on wall →A particle changes momentum during a collision; the wall receives a force.Many impacts over an area produce pressure, not just one parked particle.
The selected particle approaches and rebounds from the right-hand wall. Its change in motion requires an interaction, and the particle exerts an opposite force on the wall. Many particles repeatedly hit all container walls, producing pressure. The arrows are qualitative and use different units for motion and force; most particles and collisions are omitted.

An observation is what a person or instrument records. An inference is a proposed interpretation of those records. Keep the two separate: a graph can show a pattern while more than one mechanism might explain it. State the chosen system, or part of the world being studied, and its boundary before accounting for material or energy transfers.

Use each figure as a reasoning tool. Read its caption and labels, describe the pattern, then explain a cause. If the picture is schematic, use the stated numbers rather than measuring its printed size. Check whether its simplified conditions match the problem before applying a formula.

Build your understanding

Use three teaching sessions of about 40–45 minutes: first observe the phenomenon, draft a model and study Parts 1–2; next explain Parts 3–4 with the figures and evidence; then work the application, examples, practice, model revision and exit check. Divide any difficult part into smaller steps and revisit after feedback. Investigations, review and quizzes have separate sessions.

Part 1 · Explain spreading without a conveyor belt

Diffusion is the spreading and mixing produced by random particle motion. If particles are initially more concentrated in one region, more tend to leave that region than enter it until the concentration differences become smaller. Concentration here means the number of particles in a given volume.

Diffusion mixes particles without a one-way conveyorDiffusion mixes particles without a one-way conveyorInitial: marked gas near left sideLater: marked gas more spread outMarked-particle count stays four. Individual motion remains in many directions.Diffusion: spreading by particle motion; no chemical reaction is implied.
Both closed-container snapshots contain twelve schematic background particles and four marked particles. The marked gas initially occupies a smaller region and is later more spread out. Particle identities and numbers remain fixed; individual motion and collisions, not a conveyor aimed toward empty space, produce spreading. Counts represent selected particles rather than an actual gas sample size.

Read the visual model

Diffusion is the spread of particles through their motion. The snapshots show distributions, not each particle’s exact path. Red is a tracking label for this model, not a literal color or proof of a chemical change.

Does more even spreading mean particles were created, or that every particle moved only to the right?

Visual reasoning — after your attempt

Neither. The four marked particles remain four. Individual motion can occur in many directions while the overall distribution becomes more even.

A drop of food coloring spreads through still room-temperature water. This is a liquid example of particle motion. Stirring also mixes water, but it adds large-scale fluid movement; a still-water observation should not automatically be explained as stirring.

Pause and explain

Does diffusion require every particle to move in the same direction?

Check your reasoning after answering

No. Individual particles move in varying directions. The overall distribution changes because more particles start in one region than another.

Part 2 · Connect collisions with pressure

Gas pressure is force per unit wall area resulting from many particle impacts. We cannot see an individual impact with our eyes, but a flexible wall can move as the collective push changes. Pressure is not a substance inside the bag.

Gas pressure comes from repeated wall collisionsGas pressure comes from repeated wall collisionsPush on wall →A particle changes momentum during a collision; the wall receives a force.Many impacts over an area produce pressure, not just one parked particle.
The selected particle approaches and rebounds from the right-hand wall. Its change in motion requires an interaction, and the particle exerts an opposite force on the wall. Many particles repeatedly hit all container walls, producing pressure. The arrows are qualitative and use different units for motion and force; most particles and collisions are omitted.

Read the visual model

Pressure is force per area. Individual particles do not need to grow or stick to a wall to explain it. More frequent or stronger impacts can change the total force delivered per area over time.

Why can gas push on every wall rather than only the wall in the highlighted example?

Visual reasoning — after your attempt

Particles move in many directions and strike all walls. The highlighted collision explains a mechanism, not the only place where gas pressure acts.

Use an empty needle-free plastic syringe, if available, and cover its tip with a fingertip while pushing gently. The trapped air resists compression. Do not force the plunger or aim the tip at anyone. Supplied data give the same reasoning opportunity without this equipment.

Pause and explain

Why does trapped air resist being squeezed?

Check your reasoning after answering

The particles have less space and collide with the walls more frequently under comparable temperature conditions, increasing the pressure.

Part 3 · Change volume while keeping the comparison fair

Volume is the space occupied by the gas. In an approximately constant-temperature model with a fixed particle number, reducing volume increases pressure. The particles become closer together on average; each particle does not become smaller. A leak changes particle number and invalidates this particular comparison.

At fixed temperature, compression increases pressureAt fixed temperature, compression increases pressurePressure (kPa)030609012001234Volume (relative units)Ideal comparison: fixed particle amount and temperature; not a sealed-heating task.
This ideal supplied comparison uses pressure×volume = 120 in the given units. Doubling volume from 1 to 2 lowers pressure from 120 to 60 kPa; halving volume does the reverse. The curve applies to the stated fixed-temperature, fixed-amount approximation. It does not describe adding particles, warming the gas or every real gas condition.

Read the visual model

A curve means the change is not a constant subtraction for each extra volume unit. Gas particles remain the same size; less volume changes collision opportunities. Use a supplied record instead of heating a sealed container.

Predict pressure at volume 3. Why would heating while compressing prevent a clean test of volume alone?

Visual reasoning — after your attempt

The model gives 120/3 = 40 kPa. Heating changes another influential variable, so the result would no longer isolate volume at fixed temperature.

Illustrative model values are 100 kPa at 40 mL and 200 kPa at 20 mL. The pressure is absolute pressure, measured relative to a vacuum, rather than only the extra pressure above room air. Use the stated numbers as a model, not a forecast for every syringe.

Fixed gas particles, smaller volumeFixed gas particles, smaller volumeLarger volumeSmaller volumeIllustrative model • use the labels and stated assumptions
The dots stand for particles and are not to scale or literal colors. A fixed particle count is compressed into less space at matched temperature. More frequent wall impacts can increase gas pressure; the particles do not become smaller.
OpenSciEd three-bottle model showing gas particles and motion arrows at room temperature, followed by cooled and warmed bottles with space for the learner to draw particle predictions.
The OpenSciEd bottle-and-bubble worksheet is a separate comparison from fixed-volume heating. The flexible bubble allows the gas system’s volume to change. Fill the prediction spaces with the same number of particles and explain which variables differ; do not silently apply a fixed-volume pressure conclusion to this flexible-boundary case. Gas-bottle model: room temperature, cooling and warming · OpenSciEd · 6.3 Weather, Climate & Water Cycling, Lesson 5, source, CC BY 4.0. Figure excerpt rendered from the PDF and resized for the web.

Pause and explain

What stayed fixed in this volume comparison?

Check your reasoning after answering

Particle number and temperature are assumed fixed. Volume changes, while particle size does not. A leaking syringe would not meet the fixed-particle assumption.

Part 4 · Distinguish a particle model from direct evidence

Warming a sealed rigid gas container increases average particle motion and can increase pressure. A diagram represents a proposed mechanism; measurements test the predicted relationship. The model needs a fixed amount of gas and a container that does not expand substantially.

A pressure reading tests a particle model indirectlyA pressure reading tests a particle model indirectlyRecorded observationGauge: 80 → 120 kPaVolume decreasedModel explanationMore wall impactsSame particle countThe gauge does not photograph atoms; the particle account is an inference.Test the account with another controlled change and predicted reading.
A gauge records pressure and a volume scale records compression. These macroscopic observations can support a particle-collision explanation, but the instrument does not directly display individual particles. The model predicts a further result under controlled conditions. Both observations and interpretations matter, and neither should be presented as the other.

Read the visual model

An observation is a record from a person or instrument. An inference interprets it. A model gains support when predictions fit several appropriate tests; a single gauge change does not reveal every microscopic detail.

Which entries are observations, and which are inferences? Suggest a useful next test.

Visual reasoning — after your attempt

Pressure readings and the measured smaller volume are observations. More frequent impacts and unchanged particle count are model claims supported by controlled conditions. Restore volume at fixed temperature and predict the pressure response.

Do not heat closed household containers. Instead compare supplied records of the same rigid vessel at two temperatures. Keep the vessel size and particle number explicit, and ask whether a different-size vessel would be a fair temperature test.

Pause and explain

Why not compare a warm large vessel with a cool small vessel to isolate temperature?

Check your reasoning after answering

Both temperature and volume change. Either can influence pressure, so the difference would not isolate temperature.

Apply the whole unit · A compressed gas

Illustrative case for analysis, not measurements collected by the learner. Illustrative constant-temperature records give 80 kPa at 60 mL and 120 kPa at 40 mL for one fixed gas sample.

Your task

Explain the trend and test whether pressure × volume stays constant. Use the supplied conditions, show intermediate reasoning and distinguish the supported conclusion from a broader claim.

What your response should show

  • Use the specified quantities and units.
  • Explain an intermediate step or comparison.
  • Connect the pattern to the physical mechanism.
  • State an assumption or limitation.
Response guidance — after your attempt
  1. Compute the first pressure–volume product: 80×60=4,800 kPa·mL.

  2. Compute the second: 120×40=4,800 kPa·mL, matching the model product.

  3. Compare volume and pressure: decreasing volume at fixed temperature and particle number increases wall impacts; it does not shrink particles.

  4. State that a leak or changing temperature would invalidate the intended comparison.

80×60=4,800 and 120×40=4,800 kPa·mL. The smaller volume gives greater pressure while the model product stays constant. The gas particles do not shrink; more frequent wall impacts explain the increased pressure. This evidence is conditional on fixed temperature and particle number.

Scientific references and adapted teaching resources

Parent / teacher teaching notes

Ask the learner to describe the phenomenon before naming a formula. Discuss each checkpoint after an attempt. Use the supplied records when equipment is unavailable and label them illustrative rather than actual measurements. The final explanation should identify a mechanism and a limit, with different defensible wording accepted. Adaptation credit: OpenSciEd middle-school teaching routines and public task structures by OpenSciEd, CC BY 4.0. This independent version adds original explanatory text, data and figures, terminology support and a home-study schedule. It does not reproduce the complete teacher editions or their classroom validation.

The key idea

The space between gas particles decreases; the individual molecules retain their sizes in this model. 80×60=4,800 and 120×40=4,800 kPa·mL.

Worked examples

Example 1 · Build the first reasoning step

Does diffusion require every particle to move in the same direction?
  1. Identify what the question asks and what the stated observation establishes.
  2. No. Individual particles move in varying directions. The overall distribution changes because more particles start in one region than another.
Answer: No. Individual particles move in varying directions. The overall distribution changes because more particles start in one region than another.

Example 2 · A compressed gas

Illustrative constant-temperature records give 80 kPa at 60 mL and 120 kPa at 40 mL for one fixed gas sample. Explain the trend and test whether pressure × volume stays constant.
  1. Compute the first pressure–volume product: 80×60=4,800 kPa·mL.
  2. Compute the second: 120×40=4,800 kPa·mL, matching the model product.
  3. Compare volume and pressure: decreasing volume at fixed temperature and particle number increases wall impacts; it does not shrink particles.
  4. State that a leak or changing temperature would invalidate the intended comparison.
Answer: 80×60=4,800 and 120×40=4,800 kPa·mL. The smaller volume gives greater pressure while the model product stays constant. The gas particles do not shrink; more frequent wall impacts explain the increased pressure. This evidence is conditional on fixed temperature and particle number.
Check the reasoning

Explain why each stated condition matters.

Example 3 · Transfer to a different condition

A leaky bag becomes smaller with no pressure rise. Does it disprove the fixed-particle model?
  1. Identify the changed condition.
  2. No. Escaping gas changes particle number, so the fixed-amount assumption no longer applies. Account for matter crossing the boundary before testing that prediction.
Answer: No. Escaping gas changes particle number, so the fixed-amount assumption no longer applies. Account for matter crossing the boundary before testing that prediction.

Example 4 · Find and fix the mistake

A student claims: “Squeezing air makes the individual molecules smaller.” Evaluate the claim.
  1. Distinguish what is observed from what is inferred.
  2. The space between gas particles decreases; the individual molecules retain their sizes in this model.
Answer: The space between gas particles decreases; the individual molecules retain their sizes in this model.
Check the reasoning

Compare the claim with the stated observations and model assumptions.

Example 5 · Interpret the visual model

Diffusion mixes particles without a one-way conveyorDiffusion mixes particles without a one-way conveyorInitial: marked gas near left sideLater: marked gas more spread outMarked-particle count stays four. Individual motion remains in many directions.Diffusion: spreading by particle motion; no chemical reaction is implied.
Both closed-container snapshots contain twelve schematic background particles and four marked particles. The marked gas initially occupies a smaller region and is later more spread out. Particle identities and numbers remain fixed; individual motion and collisions, not a conveyor aimed toward empty space, produce spreading. Counts represent selected particles rather than an actual gas sample size.
Does more even spreading mean particles were created, or that every particle moved only to the right?
  1. Identify the represented objects, axes, labeled quantities and stated conditions before choosing a rule.
  2. Diffusion is the spread of particles through their motion. The snapshots show distributions, not each particle’s exact path. Red is a tracking label for this model, not a literal color or proof of a chemical change.
  3. Neither. The four marked particles remain four. Individual motion can occur in many directions while the overall distribution becomes more even.
Answer: Neither. The four marked particles remain four. Individual motion can occur in many directions while the overall distribution becomes more even.
Check the reasoning

Keep the model’s stated limits explicit: Both closed-container snapshots contain twelve schematic background particles and four marked particles. The marked gas initially occupies a smaller region and is later more spread out. Particle identities and numbers remain fixed; individual motion and collisions, not a conveyor aimed toward empty space, produce spreading. Counts represent selected particles rather than an actual gas sample size.

Avoid these mistakes

Check your understanding

Does diffusion require every particle to move in the same direction?

Discuss the answer

No. Individual particles move in varying directions. The overall distribution changes because more particles start in one region than another.

Why does trapped air resist being squeezed?

Discuss the answer

The particles have less space and collide with the walls more frequently under comparable temperature conditions, increasing the pressure.

What stayed fixed in this volume comparison?

Discuss the answer

Particle number and temperature are assumed fixed. Volume changes, while particle size does not. A leaking syringe would not meet the fixed-particle assumption.

Why not compare a warm large vessel with a cool small vessel to isolate temperature?

Discuss the answer

Both temperature and volume change. Either can influence pressure, so the difference would not isolate temperature.

Return to the phenomenon

Illustrative constant-temperature records give 80 kPa at 60 mL and 120 kPa at 40 mL for one fixed gas sample. Explain the trend and test whether pressure × volume stays constant. Revise your first explanation using a named idea from the lesson. Mark the changed part and the evidence that supports it.

Compare explanations after your attempt

80×60=4,800 and 120×40=4,800 kPa·mL. The smaller volume gives greater pressure while the model product stays constant. The gas particles do not shrink; more frequent wall impacts explain the increased pressure. This evidence is conditional on fixed temperature and particle number.

What should we investigate next?

Which condition could be changed to test a remaining uncertainty in this explanation? State the predicted observation and what result would challenge your model.

Investigate, explain and revise

Use these tasks after the three teaching sessions as needed. Discuss an attempted explanation before opening response guidance; a matching sentence is less important than a supported mechanism.

Activity 1 · Explain the new evidence case

Assigned reading and preparation

Use the visible scenario above, Parts 1–4 and your first notebook model. No outside reading or equipment is required.

Your task

Illustrative constant-temperature records give 80 kPa at 60 mL and 120 kPa at 40 mL for one fixed gas sample. Explain the trend and test whether pressure × volume stays constant. Write 100–150 words or give a labeled drawing with an equivalent oral explanation.

Success criteria

  • Use two relevant stated records or conditions.
  • Explain the mechanism rather than only repeat a definition.
  • Label observation and inference.
  • Name a changed model feature or a remaining uncertainty.
Hint

Read the stated boundary and conditions before selecting a relationship. The unit’s worked examples show intermediate steps.

Response guidance — discuss after your attempt

80×60=4,800 and 120×40=4,800 kPa·mL. The smaller volume gives greater pressure while the model product stays constant. The gas particles do not shrink; more frequent wall impacts explain the increased pressure. This evidence is conditional on fixed temperature and particle number.

Activity 2 · Read and extend the figure

Assigned reading and preparation

Study the new labeled figure and its caption, then compare it with the associated teaching part.

Your task

What changes without changing particle identity? Explain what each important label represents. Add one missing feature that would be needed for a different question, and explain why the original figure leaves it out.

Success criteria

  • Answer the figure question with its stated labels.
  • Connect the visual representation to the scientific idea.
  • Identify a specific limitation from the caption.
  • Propose a useful change without misrepresenting supplied evidence.
Hint

The dots stand for particles and are not to scale or literal colors. A fixed particle count is compressed into less space at matched temperature. More frequent wall impacts can increase gas pressure; the particles do not become smaller.

Response guidance — discuss after your attempt

Spacing, arrangement and allowed motion can change. In the gas compression model, volume changes while particle number and temperature are held fixed. The dots stand for particles and are not to scale or literal colors. A fixed particle count is compressed into less space at matched temperature. More frequent wall impacts can increase gas pressure; the particles do not become smaller.

Words to know

diffusion
Spreading caused by random particle motion.
concentration
Amount or number of particles per stated volume.
gas pressure
Force per unit area from gas impacts on a surface.
compression
Reduction of the space occupied by a material.
absolute pressure
Pressure measured relative to zero pressure, rather than only above local air pressure.
model
A representation that explains selected features and makes predictions; it leaves other details out.
evidence
Relevant observations or records used to support or challenge a claim.
system boundary
The chosen limit separating the objects being studied from their surroundings.
assumption
A condition taken as true for a model or calculation and needing to be checked against the case.

In the real world

Illustrative constant-temperature records give 80 kPa at 60 mL and 120 kPa at 40 mL for one fixed gas sample.

Exit check

What changes without changing particle identity? Explain the relevant mechanism and one model limitation.

Check your explanation after answering

Spacing, arrangement and allowed motion can change. In the gas compression model, volume changes while particle number and temperature are held fixed. The dots stand for particles and are not to scale or literal colors. A fixed particle count is compressed into less space at matched temperature. More frequent wall impacts can increase gas pressure; the particles do not become smaller.

Explain your reasoning without notes. If a key idea is missing, revisit the lesson and try again.

Problem 1

Does diffusion require every particle to move in the same direction?
Answer and explanation

No. Individual particles move in varying directions. The overall distribution changes because more particles start in one region than another.

No. Individual particles move in varying directions. The overall distribution changes because more particles start in one region than another.

Response criteria

  • Use the supplied conditions and relevant evidence.
  • Explain the scientific mechanism or calculation.
  • State a meaningful limitation or testable next step.

Problem 2

Why does trapped air resist being squeezed?
Answer and explanation

The particles have less space and collide with the walls more frequently under comparable temperature conditions, increasing the pressure.

The particles have less space and collide with the walls more frequently under comparable temperature conditions, increasing the pressure.

Response criteria

  • Use the supplied conditions and relevant evidence.
  • Explain the scientific mechanism or calculation.
  • State a meaningful limitation or testable next step.

Problem 3

What stayed fixed in this volume comparison?
Answer and explanation

Particle number and temperature are assumed fixed. Volume changes, while particle size does not. A leaking syringe would not meet the fixed-particle assumption.

Particle number and temperature are assumed fixed. Volume changes, while particle size does not. A leaking syringe would not meet the fixed-particle assumption.

Response criteria

  • Use the supplied conditions and relevant evidence.
  • Explain the scientific mechanism or calculation.
  • State a meaningful limitation or testable next step.

Problem 4

Why not compare a warm large vessel with a cool small vessel to isolate temperature?
Answer and explanation

Both temperature and volume change. Either can influence pressure, so the difference would not isolate temperature.

Both temperature and volume change. Either can influence pressure, so the difference would not isolate temperature.

Response criteria

  • Use the supplied conditions and relevant evidence.
  • Explain the scientific mechanism or calculation.
  • State a meaningful limitation or testable next step.

Problem 5

Illustrative constant-temperature records give 80 kPa at 60 mL and 120 kPa at 40 mL for one fixed gas sample. Explain the trend and test whether pressure × volume stays constant.
Answer and explanation

80×60=4,800 and 120×40=4,800 kPa·mL. The smaller volume gives greater pressure while the model product stays constant. The gas particles do not shrink; more frequent wall impacts explain the increased pressure. This evidence is conditional on fixed temperature and particle number.

80×60=4,800 and 120×40=4,800 kPa·mL. The smaller volume gives greater pressure while the model product stays constant. The gas particles do not shrink; more frequent wall impacts explain the increased pressure. This evidence is conditional on fixed temperature and particle number.

Response criteria

  • Use the supplied conditions and relevant evidence.
  • Explain the scientific mechanism or calculation.
  • State a meaningful limitation or testable next step.

Problem 6

A leaky bag becomes smaller with no pressure rise. Does it disprove the fixed-particle model?
Answer and explanation

No. Escaping gas changes particle number, so the fixed-amount assumption no longer applies. Account for matter crossing the boundary before testing that prediction.

No. Escaping gas changes particle number, so the fixed-amount assumption no longer applies. Account for matter crossing the boundary before testing that prediction.

Response criteria

  • Use the supplied conditions and relevant evidence.
  • Explain the scientific mechanism or calculation.
  • State a meaningful limitation or testable next step.

Problem 7

Evaluate and correct: Squeezing air makes the individual molecules smaller.
Answer and explanation

The space between gas particles decreases; the individual molecules retain their sizes in this model.

The space between gas particles decreases; the individual molecules retain their sizes in this model.

Response criteria

  • Use the supplied conditions and relevant evidence.
  • Explain the scientific mechanism or calculation.
  • State a meaningful limitation or testable next step.

Problem 8

Choose one prediction from this unit. Explain a comparison that could test it, specifying observations, changed and matched conditions, and a result that would challenge it.
Answer and explanation

Do not heat closed household containers. Instead compare supplied records of the same rigid vessel at two temperatures. Keep the vessel size and particle number explicit, and ask whether a different-size vessel would be a fair temperature test. Both temperature and volume change. Either can influence pressure, so the difference would not isolate temperature.

Do not heat closed household containers. Instead compare supplied records of the same rigid vessel at two temperatures. Keep the vessel size and particle number explicit, and ask whether a different-size vessel would be a fair temperature test. Both temperature and volume change. Either can influence pressure, so the difference would not isolate temperature.

Response criteria

  • Use the supplied conditions and relevant evidence.
  • Explain the scientific mechanism or calculation.
  • State a meaningful limitation or testable next step.

Problem 9

A fixed gas at matched temperature is modeled at 80 kPa in 30 mL. Predict pressure at 15 mL using the constant-product model and name an assumption.
Hints

Distinguish the observed quantities, the proposed mechanism and its conditions.

Answer and explanation

The product is 2,400 kPa·mL, so the predicted pressure is 160 kPa at 15 mL. Amount and temperature must remain fixed; the particles do not shrink.

The product is 2,400 kPa·mL, so the predicted pressure is 160 kPa at 15 mL. Amount and temperature must remain fixed; the particles do not shrink.

Problem 10

A leaky bag becomes smaller with no pressure rise. Does it disprove the fixed-particle model? Explain a condition that would change this conclusion.
Hints

Distinguish the observed quantities, the proposed mechanism and its conditions.

Answer and explanation

No. Escaping gas changes particle number, so the fixed-amount assumption no longer applies. Account for matter crossing the boundary before testing that prediction.

No. Escaping gas changes particle number, so the fixed-amount assumption no longer applies. Account for matter crossing the boundary before testing that prediction.

Problem 11

Diffusion mixes particles without a one-way conveyorDiffusion mixes particles without a one-way conveyorInitial: marked gas near left sideLater: marked gas more spread outMarked-particle count stays four. Individual motion remains in many directions.Diffusion: spreading by particle motion; no chemical reaction is implied.
Both closed-container snapshots contain twelve schematic background particles and four marked particles. The marked gas initially occupies a smaller region and is later more spread out. Particle identities and numbers remain fixed; individual motion and collisions, not a conveyor aimed toward empty space, produce spreading. Counts represent selected particles rather than an actual gas sample size.
For this unit’s illustrated case, does more even spreading mean particles were created, or that every particle moved only to the right?
Answer and explanation

Neither. The four marked particles remain four. Individual motion can occur in many directions while the overall distribution becomes more even.

Diffusion is the spread of particles through their motion. The snapshots show distributions, not each particle’s exact path. Red is a tracking label for this model, not a literal color or proof of a chemical change.

Neither. The four marked particles remain four. Individual motion can occur in many directions while the overall distribution becomes more even.

Response criteria

  • Use the named labels, directions or supplied quantities accurately.
  • Connect the visual evidence to the scientific mechanism or calculation.
  • State the relevant model conditions or limitation.

Problem 12

At fixed temperature and gas amount, the supplied ideal model gives pressure×volume = 180. Predict pressure at volume 3 and at volume 6, then explain why particles do not need to shrink.
Answer and explanation

60 and 30 in the given pressure units. Particle size is unchanged; different spacing and wall-collision patterns explain the pressure change under the stated model.

Divide the supplied constant by each volume.

Hold temperature and amount comparable before attributing the result to compression.

60 and 30 in the given pressure units. Particle size is unchanged; different spacing and wall-collision patterns explain the pressure change under the stated model.

Response criteria

  • Use the named labels, directions or supplied quantities accurately.
  • Connect the visual evidence to the scientific mechanism or calculation.
  • State the relevant model conditions or limitation.

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