Heating Curves & Energy During Phase Change — Print · Grade 8 Science

Chapter: Phases of Matter

Heating Curves & Energy During Phase Change

Learning goals

Readings for this unit

Before this unit

Review the earlier states, temperature and energy-transfer units. 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 heating curves & energy during phase change?

Illustrative evidence case. Illustrative ice–water data remain near 0 °C for four minutes while a heater supplies 100 J each minute.

A modeled pure-water heating curveA modeled pure-water heating curveTime (min)Temperature (°C)0-102.5-2.5557.512.51020Melting near 0 °CIllustrative model • use the labels and stated assumptions
The vertical scale includes the initial −10 °C ice temperature. The near-zero plateau at 2–6 minutes represents melting under ordinary-pressure, constant-input conditions, not stopped energy input. After melting, liquid temperature rises.

Notice and wonder

What changes during the level interval? 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. Account for the 400 J input during the plateau and state an assumption. Keep this first version so you can compare it with your later explanation.

Build the language from the idea

heating curve
Graph of temperature during energy input.
phase
A physical state or distinct material region, such as solid or liquid.
plateau
Approximately level portion of a graph.
latent heat
Energy per amount of substance associated with a phase change at nearly steady temperature.
coexistence
Presence of two phases together under the stated conditions.
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 thermometer can stop rising while ice melts even though energy continues to enter. Temperature describes a quantity related to average particle motion, whereas an energy transfer can also change the arrangement and interactions of particles.

A heating curve is a graph of temperature during energy input. A phase is a physical state such as solid or liquid.

A modeled pure-water heating curveA modeled pure-water heating curveTime (min)Temperature (°C)0-102.5-2.5557.512.51020Melting near 0 °CIllustrative model • use the labels and stated assumptions
The vertical scale includes the initial −10 °C ice temperature. The near-zero plateau at 2–6 minutes represents melting under ordinary-pressure, constant-input conditions, not stopped energy input. After melting, liquid temperature rises.

A plateau is a nearly level section of a graph. These words name patterns we can observe; they do not replace the explanation.

A plateau can hide a changing solid–liquid mixtureA plateau can hide a changing solid–liquid mixtureEarlier: more solidLater: more liquidEnergy still entersIllustrative melting at nearly constant temperature and fixed pressure.Count: 12 particles before and after. Arrangement changes; identity does not.
The selected-particle sketches keep particle count and identity while showing a change from a more ordered solid arrangement to a more mobile liquid arrangement. Continued energy input during an ideal melting plateau changes the phase proportions and interaction arrangement rather than requiring a temperature rise. Dots, spacing and order are schematic; a real sample can contain both phases throughout the interval.

Use supplied data for melting rather than an unsupervised boiling experiment.

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 · Read the axes before explaining the curve

A temperature–time graph puts elapsed time on the horizontal axis and temperature on the vertical axis. If a heater transfers energy at an approximately constant rate, later times correspond to greater supplied energy. Time is not itself energy, and changing heater power would change that connection.

A modeled pure-water heating curveA modeled pure-water heating curveTime (min)Temperature (°C)0-102.5-2.5557.512.51020Melting near 0 °CIllustrative model • use the labels and stated assumptions
The vertical scale includes the initial −10 °C ice temperature. The near-zero plateau at 2–6 minutes represents melting under ordinary-pressure, constant-input conditions, not stopped energy input. After melting, liquid temperature rises.

Read the visual model

What does the graph directly record?

Visual reasoning — after your attempt

Temperature at recorded times. A constant-rate assumption connects time with energy input; the graph does not directly measure every energy pathway.

Illustrative pure-water readings at 0, 2, 4, 6, 8 and 10 minutes are −10, 0, 0, 0, 10 and 20 °C at ordinary pressure. Join neighboring points to represent the supplied trend; do not treat straight segments as measurements between all recorded times.

Pause and explain

What does the graph directly record?

Check your reasoning after answering

Temperature at recorded times. A constant-rate assumption connects time with energy input; the graph does not directly measure every energy pathway.

Part 2 · Explain warming within one phase

Within a single phase, energy transfer can increase average particle motion and thus temperature. Particles in ice already move by vibrating about positions. They do not remain perfectly motionless until melting begins. In liquid water they move while remaining relatively close together.

Within one phase, energy input can increase average motionWithin one phase, energy input can increase average motionCooler sampleWarmer same-phase sampleSame substance and particle count; longer arrows show faster average motion.Particles do not become larger when this sample warms.
Both panels represent the same number and kind of particles in one phase. The warmer panel uses longer motion arrows to show a higher average kinetic energy in this introductory model. The arrows are not forces and the circles do not expand. Actual particle motions vary; equal arrow styles are a drawing simplification rather than a claim that all particles share one speed.

Read the visual model

Within a phase, a rising temperature can track increasing average particle kinetic energy. During a phase change, energy can change the arrangement instead; that requires a different model and a different reading of the curve.

What should change and what should stay the same in a particle drawing of this same-phase warming?

Visual reasoning — after your attempt

Motion patterns/average kinetic energy can change, while particle identity, count and size stay the same. This comparison is not a phase-change plateau.

From −10 to 0 °C, the modeled ice warms. After melting is complete, the modeled liquid warms from 0 to 20 °C. Both intervals show temperature change, but the particle arrangements differ.

Pause and explain

Were ice particles motionless at −10 °C?

Check your reasoning after answering

No. They vibrate in the solid. Warming changes their motion; melting later changes the larger arrangement and freedom to move.

Part 3 · Account for input during a plateau

During melting at the modeled pressure, energy supports changes in particle arrangement and interactions while solid and liquid coexist. The approximately steady temperature does not mean energy input stops. Latent heat is the energy per amount of substance associated with a phase change without the corresponding temperature rise.

A plateau can hide a changing solid–liquid mixtureA plateau can hide a changing solid–liquid mixtureEarlier: more solidLater: more liquidEnergy still entersIllustrative melting at nearly constant temperature and fixed pressure.Count: 12 particles before and after. Arrangement changes; identity does not.
The selected-particle sketches keep particle count and identity while showing a change from a more ordered solid arrangement to a more mobile liquid arrangement. Continued energy input during an ideal melting plateau changes the phase proportions and interaction arrangement rather than requiring a temperature rise. Dots, spacing and order are schematic; a real sample can contain both phases throughout the interval.

Read the visual model

A plateau names a graph pattern, not an absence of change. Use both the temperature record and the phase model. The two panels simplify a gradual change in solid and liquid fractions and do not depict motionless solid particles.

Does a level temperature line during melting mean no energy enters, no particles move, or no change occurs?

Visual reasoning — after your attempt

None of those conclusions follows. Energy can keep entering while more of the sample becomes liquid; particle motion continues and the arrangement/phase proportions change.

Between 2 and 6 minutes, the illustrative curve stays near 0 °C. A drawing should show increasing liquid fraction, not larger water molecules. The model concerns a pure substance under stated conditions; mixtures can melt across a range.

Pause and explain

What evidence would show change despite constant temperature?

Check your reasoning after answering

A decreasing solid fraction and increasing liquid fraction while energy is supplied. Temperature alone is insufficient to describe the complete state.

Part 4 · Distinguish a model plateau from a universal temperature

Melting and boiling temperatures depend on substance and pressure; impurities can alter phase behavior. Cooling can remove energy while a substance freezes near its melting temperature under matching conditions. The direction of transfer determines which change proceeds.

Different substances need different phase-change referencesDifferent substances need different phase-change referencesTemperature (°C)-1001020304002468Time (min)Hypothetical material BWater model at 1 atmA plateau temperature depends on substance, pressure and other conditions.
The blue ideal water curve has a melting plateau near 0 °C at ordinary pressure. The red curve belongs to a deliberately hypothetical pure material with a 15 °C plateau under the specified comparison. It is not a second temperature for the same water sample. Mixtures and changed pressure can produce other behavior, so a plateau cannot be assigned one universal value.

Read the visual model

First identify the substance and conditions attached to each curve. A graph shape can support a phase-change interpretation, but the numerical temperature belongs to that particular material and pressure, not to the word melting.

What can the two plateau temperatures suggest, and what can they not establish alone?

Visual reasoning — after your attempt

They can distinguish behavior under matched known conditions. They cannot uniquely identify a substance or establish that every sample must melt at 0 °C; composition, pressure and other characteristic properties matter.

Use 0 °C for pure water melting in this simplified ordinary-pressure model, not every substance. A plateau at another temperature could belong to another material. No visible plateau in a brief household observation does not by itself invalidate the particle model.

Pause and explain

Can a temperature of 0 °C alone tell us the fraction of liquid water?

Check your reasoning after answering

No. Pure ice, a solid–liquid mixture or liquid at that temperature may be possible under the stated conditions; additional state evidence is needed.

Apply the whole unit · A heater that seems to stop warming

Illustrative case for analysis, not measurements collected by the learner. Illustrative ice–water data remain near 0 °C for four minutes while a heater supplies 100 J each minute.

Your task

Account for the 400 J input during the plateau and state an assumption. 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. Identify a continuing input of 100 J each minute, not a stopped heater.

  2. Multiply 100 J/min × 4 min = 400 J.

  3. Explain the nearly steady temperature using changing phase fraction and particle interactions during melting.

  4. Add possible container warming and surrounding transfers before assigning all real input to the water alone.

400 J enters during the four-minute interval. In the simplified model it supports melting and changed particle interactions while the temperature stays approximately constant. It is not missing energy. Some real input can also reach the container or surroundings, so attributing all 400 J to the sample requires an idealized boundary and negligible losses.

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

Continued input can change phase fraction and particle interactions while temperature remains nearly steady. 400 J enters during the four-minute interval.

Worked examples

Example 1 · Build the first reasoning step

What does the graph directly record?
  1. Identify what the question asks and what the stated observation establishes.
  2. Temperature at recorded times. A constant-rate assumption connects time with energy input; the graph does not directly measure every energy pathway.
Answer: Temperature at recorded times. A constant-rate assumption connects time with energy input; the graph does not directly measure every energy pathway.

Example 2 · A heater that seems to stop warming

Illustrative ice–water data remain near 0 °C for four minutes while a heater supplies 100 J each minute. Account for the 400 J input during the plateau and state an assumption.
  1. Identify a continuing input of 100 J each minute, not a stopped heater.
  2. Multiply 100 J/min × 4 min = 400 J.
  3. Explain the nearly steady temperature using changing phase fraction and particle interactions during melting.
  4. Add possible container warming and surrounding transfers before assigning all real input to the water alone.
Answer: 400 J enters during the four-minute interval. In the simplified model it supports melting and changed particle interactions while the temperature stays approximately constant. It is not missing energy. Some real input can also reach the container or surroundings, so attributing all 400 J to the sample requires an idealized boundary and negligible losses.
Check the reasoning

Explain why each stated condition matters.

Example 3 · Transfer to a different condition

Two equal masses reach the same temperature, one partly melted and one fully liquid. Must their energy histories be identical?
  1. Identify the changed condition.
  2. No. Temperature is not a complete measure of internal energy or phase fraction. Different arrangements and energy transfers can accompany the same temperature.
Answer: No. Temperature is not a complete measure of internal energy or phase fraction. Different arrangements and energy transfers can accompany the same temperature.

Example 4 · Find and fix the mistake

A student claims: “A flat heating curve means the heater adds no energy.” Evaluate the claim.
  1. Distinguish what is observed from what is inferred.
  2. Continued input can change phase fraction and particle interactions while temperature remains nearly steady.
Answer: Continued input can change phase fraction and particle interactions while temperature remains nearly steady.
Check the reasoning

Compare the claim with the stated observations and model assumptions.

Example 5 · Interpret the visual model

Within one phase, energy input can increase average motionWithin one phase, energy input can increase average motionCooler sampleWarmer same-phase sampleSame substance and particle count; longer arrows show faster average motion.Particles do not become larger when this sample warms.
Both panels represent the same number and kind of particles in one phase. The warmer panel uses longer motion arrows to show a higher average kinetic energy in this introductory model. The arrows are not forces and the circles do not expand. Actual particle motions vary; equal arrow styles are a drawing simplification rather than a claim that all particles share one speed.
What should change and what should stay the same in a particle drawing of this same-phase warming?
  1. Identify the represented objects, axes, labeled quantities and stated conditions before choosing a rule.
  2. Within a phase, a rising temperature can track increasing average particle kinetic energy. During a phase change, energy can change the arrangement instead; that requires a different model and a different reading of the curve.
  3. Motion patterns/average kinetic energy can change, while particle identity, count and size stay the same. This comparison is not a phase-change plateau.
Answer: Motion patterns/average kinetic energy can change, while particle identity, count and size stay the same. This comparison is not a phase-change plateau.
Check the reasoning

Keep the model’s stated limits explicit: Both panels represent the same number and kind of particles in one phase. The warmer panel uses longer motion arrows to show a higher average kinetic energy in this introductory model. The arrows are not forces and the circles do not expand. Actual particle motions vary; equal arrow styles are a drawing simplification rather than a claim that all particles share one speed.

Avoid these mistakes

Check your understanding

What does the graph directly record?

Discuss the answer

Temperature at recorded times. A constant-rate assumption connects time with energy input; the graph does not directly measure every energy pathway.

Were ice particles motionless at −10 °C?

Discuss the answer

No. They vibrate in the solid. Warming changes their motion; melting later changes the larger arrangement and freedom to move.

What evidence would show change despite constant temperature?

Discuss the answer

A decreasing solid fraction and increasing liquid fraction while energy is supplied. Temperature alone is insufficient to describe the complete state.

Can a temperature of 0 °C alone tell us the fraction of liquid water?

Discuss the answer

No. Pure ice, a solid–liquid mixture or liquid at that temperature may be possible under the stated conditions; additional state evidence is needed.

Return to the phenomenon

Illustrative ice–water data remain near 0 °C for four minutes while a heater supplies 100 J each minute. Account for the 400 J input during the plateau and state an assumption. 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

400 J enters during the four-minute interval. In the simplified model it supports melting and changed particle interactions while the temperature stays approximately constant. It is not missing energy. Some real input can also reach the container or surroundings, so attributing all 400 J to the sample requires an idealized boundary and negligible losses.

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 ice–water data remain near 0 °C for four minutes while a heater supplies 100 J each minute. Account for the 400 J input during the plateau and state an assumption. 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

400 J enters during the four-minute interval. In the simplified model it supports melting and changed particle interactions while the temperature stays approximately constant. It is not missing energy. Some real input can also reach the container or surroundings, so attributing all 400 J to the sample requires an idealized boundary and negligible losses.

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 during the level interval? 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 vertical scale includes the initial −10 °C ice temperature. The near-zero plateau at 2–6 minutes represents melting under ordinary-pressure, constant-input conditions, not stopped energy input. After melting, liquid temperature rises.

Response guidance — discuss after your attempt

Liquid fraction increases while energy continues to enter; average temperature remains nearly steady under the model assumptions. The vertical scale includes the initial −10 °C ice temperature. The near-zero plateau at 2–6 minutes represents melting under ordinary-pressure, constant-input conditions, not stopped energy input. After melting, liquid temperature rises.

Words to know

heating curve
Graph of temperature during energy input.
phase
A physical state or distinct material region, such as solid or liquid.
plateau
Approximately level portion of a graph.
latent heat
Energy per amount of substance associated with a phase change at nearly steady temperature.
coexistence
Presence of two phases together under the stated conditions.
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 ice–water data remain near 0 °C for four minutes while a heater supplies 100 J each minute.

Exit check

What changes during the level interval? Explain the relevant mechanism and one model limitation.

Check your explanation after answering

Liquid fraction increases while energy continues to enter; average temperature remains nearly steady under the model assumptions. The vertical scale includes the initial −10 °C ice temperature. The near-zero plateau at 2–6 minutes represents melting under ordinary-pressure, constant-input conditions, not stopped energy input. After melting, liquid temperature rises.

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

Problem 1

What does the graph directly record?
Answer and explanation

Temperature at recorded times. A constant-rate assumption connects time with energy input; the graph does not directly measure every energy pathway.

Temperature at recorded times. A constant-rate assumption connects time with energy input; the graph does not directly measure every energy pathway.

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

Were ice particles motionless at −10 °C?
Answer and explanation

No. They vibrate in the solid. Warming changes their motion; melting later changes the larger arrangement and freedom to move.

No. They vibrate in the solid. Warming changes their motion; melting later changes the larger arrangement and freedom to move.

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 evidence would show change despite constant temperature?
Answer and explanation

A decreasing solid fraction and increasing liquid fraction while energy is supplied. Temperature alone is insufficient to describe the complete state.

A decreasing solid fraction and increasing liquid fraction while energy is supplied. Temperature alone is insufficient to describe the complete state.

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

Can a temperature of 0 °C alone tell us the fraction of liquid water?
Answer and explanation

No. Pure ice, a solid–liquid mixture or liquid at that temperature may be possible under the stated conditions; additional state evidence is needed.

No. Pure ice, a solid–liquid mixture or liquid at that temperature may be possible under the stated conditions; additional state evidence is needed.

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 ice–water data remain near 0 °C for four minutes while a heater supplies 100 J each minute. Account for the 400 J input during the plateau and state an assumption.
Answer and explanation

400 J enters during the four-minute interval. In the simplified model it supports melting and changed particle interactions while the temperature stays approximately constant. It is not missing energy. Some real input can also reach the container or surroundings, so attributing all 400 J to the sample requires an idealized boundary and negligible losses.

400 J enters during the four-minute interval. In the simplified model it supports melting and changed particle interactions while the temperature stays approximately constant. It is not missing energy. Some real input can also reach the container or surroundings, so attributing all 400 J to the sample requires an idealized boundary and negligible losses.

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

Two equal masses reach the same temperature, one partly melted and one fully liquid. Must their energy histories be identical?
Answer and explanation

No. Temperature is not a complete measure of internal energy or phase fraction. Different arrangements and energy transfers can accompany the same temperature.

No. Temperature is not a complete measure of internal energy or phase fraction. Different arrangements and energy transfers can accompany the same 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 7

Evaluate and correct: A flat heating curve means the heater adds no energy.
Answer and explanation

Continued input can change phase fraction and particle interactions while temperature remains nearly steady.

Continued input can change phase fraction and particle interactions while temperature remains nearly steady.

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

Use 0 °C for pure water melting in this simplified ordinary-pressure model, not every substance. A plateau at another temperature could belong to another material. No visible plateau in a brief household observation does not by itself invalidate the particle model. No. Pure ice, a solid–liquid mixture or liquid at that temperature may be possible under the stated conditions; additional state evidence is needed.

Use 0 °C for pure water melting in this simplified ordinary-pressure model, not every substance. A plateau at another temperature could belong to another material. No visible plateau in a brief household observation does not by itself invalidate the particle model. No. Pure ice, a solid–liquid mixture or liquid at that temperature may be possible under the stated conditions; additional state evidence is needed.

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 model heater adds 160 J/min for 3 min during a melting plateau. Find input and explain why no temperature rise does not mean no energy transfer.
Hints

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

Answer and explanation

Input is 480 J. Energy can change phase fraction and particle interactions during the plateau. In a real apparatus some energy can warm the container or leave to surroundings, so an ideal sample-only account needs stated assumptions.

Input is 480 J. Energy can change phase fraction and particle interactions during the plateau. In a real apparatus some energy can warm the container or leave to surroundings, so an ideal sample-only account needs stated assumptions.

Problem 10

Two equal masses reach the same temperature, one partly melted and one fully liquid. Must their energy histories be identical? Explain a condition that would change this conclusion.
Hints

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

Answer and explanation

No. Temperature is not a complete measure of internal energy or phase fraction. Different arrangements and energy transfers can accompany the same temperature.

No. Temperature is not a complete measure of internal energy or phase fraction. Different arrangements and energy transfers can accompany the same temperature.

Problem 11

Within one phase, energy input can increase average motionWithin one phase, energy input can increase average motionCooler sampleWarmer same-phase sampleSame substance and particle count; longer arrows show faster average motion.Particles do not become larger when this sample warms.
Both panels represent the same number and kind of particles in one phase. The warmer panel uses longer motion arrows to show a higher average kinetic energy in this introductory model. The arrows are not forces and the circles do not expand. Actual particle motions vary; equal arrow styles are a drawing simplification rather than a claim that all particles share one speed.
For this unit’s illustrated case, what should change and what should stay the same in a particle drawing of this same-phase warming?
Answer and explanation

Motion patterns/average kinetic energy can change, while particle identity, count and size stay the same. This comparison is not a phase-change plateau.

Within a phase, a rising temperature can track increasing average particle kinetic energy. During a phase change, energy can change the arrangement instead; that requires a different model and a different reading of the curve.

Motion patterns/average kinetic energy can change, while particle identity, count and size stay the same. This comparison is not a phase-change plateau.

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

A supplied heating curve is level near 12 °C while the sample’s liquid fraction increases. Can you call the material pure water at ordinary pressure solely from the plateau? Explain what the record supports.
Answer and explanation

No. A phase-change interpretation is supported by the growing liquid fraction, but 12 °C is not ordinary-pressure pure water’s melting point. Composition, pressure and other properties need to be checked.

Use both temperature and phase evidence.

Do not treat every plateau as water melting at a universal temperature.

No. A phase-change interpretation is supported by the growing liquid fraction, but 12 °C is not ordinary-pressure pure water’s melting point. Composition, pressure and other properties need to be checked.

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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