Angela's Tools · Chapter 23 · The Motion of Particles Lab 3 of 3 · Recording sheet

Energy Tokens: Act Out Melting and Boiling, Then Graph It

Investigation question: If energy is added to a pure substance at a steady rate, what happens to its particles' motion, its temperature and its state, and where does the energy go when the temperature stops rising?

Collaborative systems modelingGroups of 41 session Setup 5 · Activity 40 · Cleanup 5 min MS-PS1-4 · assessesMS-PS3-4 · supports
NameGroupDate

Your role today

Safety

Procedure

  1. Set up: each particle wears a tag and starts with a chain of 1 paper clip, standing on an X mark. The substance is a solid. The energy-source cup holds the remaining clips and the bank cups are empty. Round 0 is already filled in on your table.
  2. Read the heating rule card together. In this model the melting point is 3 and the boiling point is 6, measured in clips per chain.
  3. Each round: (a) the energy source hands every particle one token; (b) the rule keeper reads the rule and says where each token goes, onto your chain or into a bank; (c) everyone moves for 15 seconds the way the rule card says for their state and chain length; (d) freeze.
  4. After each freeze, the thermometer reader works out the model temperature (total clips on chains ÷ 4), the rule keeper counts the clips in each bank and how many particles are solid, liquid and gas, and the recorder writes the row. Check that the 4 starting clips plus the tokens added so far equal the clips on chains plus the clips in banks.
  5. Run rounds 1 to 10. When the loosening bank reaches 4 clips, two particles leave their X marks and become liquid; at 8, all four are liquid. When the separating bank reaches 4, two particles leave the liquid strip as gas; at 8, all four are gas.
  6. Plot the heating curve: model temperature against tokens added so far. Circle each flat step and label what the particles were doing during it. Answer q1 and q2.
  7. Part C, the uneven round: reset to a liquid with a chain of 4 clips on every particle, 8 clips in the loosening bank and none in the separating bank. Read the uneven-round card, deal the 4 tokens as it says, record the chains and the liquid's temperature, then apply the escape rule and record again. Answer q3.
  8. Return the clips to their cups, pull up the tape if the room is needed, and answer the analysis questions individually.
  9. Optional session 2, cooling (about 30 minutes): rebuild the end of the heating run (all four particles gas with chains of 7, and 8 clips in each bank). Each round every particle gives one token to the cold-sink cup, following the cooling rule card. Run 10 rounds, fill in the cooling table, and plot the cooling curve on the same graph in a different color.

Record your observations

Lab 3 recording sheet: Energy tokens

Each student is one particle of a pure substance, and each paper clip is one unit of energy. Clips on your chain are motion energy: a longer chain means you move faster. Clips in a bank are energy that loosened the particles from their fixed spots (melting) or separated them completely (boiling). The model temperature is the average chain length: total clips on chains ÷ 4.

Heating rule card
If the substance is…Each new token goes…How the particles move
Solid, chains shorter than 3Onto your chainSway in place on your X; a longer chain means a bigger sway
At the melting point (chains at 3) with any particle still solidInto the loosening bank. Every 2 clips in the bank free one particle into the liquidFreed particles shuffle in the liquid strip; the others keep swaying on their X
Liquid, chains shorter than 6Onto your chainShuffle through the liquid strip, swapping places, always within arm's reach of another particle
At the boiling point (chains at 6) with any particle still liquidInto the separating bank. Every 2 clips in the bank free one particle into the gasEscaped particles walk in the whole container; the others keep shuffling
GasOnto your chainWalk in straight lines and turn at arm's length from walls and particles; never run
Heating run
RoundTokens added so farModel temperature (clips per chain)Loosening bankSeparating bankSolid / liquid / gas (particles)State of the sample
001004 / 0 / 0solid
1
2
3
4
5
6
7
8
9
10
Heating curve (and cooling curve in session 2) Heating curve (and cooling curve in session 2) 0 4 8 12 16 20 24 28 32 36 40 0 1 2 3 4 5 6 7 8 Tokens added (or removed) so far Model temperature (clips per chain)
1.During which rounds did the model temperature stay the same even though tokens were still being added? Where did those tokens go?
2.Check the accounting after round 10: 4 starting clips + tokens added = clips on chains + clips in banks. Write the numbers. Did any tokens disappear?

Uneven-round card. This round, the energy source deals the 4 tokens unevenly: 3 to particle A, 1 to particle B, none to C or D. All dealt tokens go onto chains. Escape rule: a liquid particle whose chain is 6 or longer may escape. It puts 2 clips into the separating bank and walks into the gas region. The liquid temperature is the average chain length of the particles still in the liquid.

Part C: the uneven round
MomentChain AChain BChain CChain DLiquid temperatureParticles in the gas
Before the deal444440
After the deal
After the escape rule
3.What was the liquid's temperature just before particle A escaped, and just after? Why did the escape change it?
Cooling rule card (optional session 2)
If the substance is…Each round, every particle's token comes from…
Gas, chains longer than 6Your chain
At the boiling point (chains at 6) with any particle still gasThe separating bank. Every 2 clips removed let one gas particle condense into the liquid strip
Liquid, chains longer than 3Your chain
At the melting point (chains at 3) with any particle still liquidThe loosening bank. Every 2 clips removed let one particle freeze back onto an X
SolidYour chain, but no chain ever goes below 1, because real particles never stop moving
Cooling run (optional session 2)
RoundTokens removed so farModel temperature (clips per chain)Loosening bankSeparating bankSolid / liquid / gas (particles)State of the sample
007880 / 0 / 4gas
1
2
3
4
5
6
7
8
9
10

Analysis questions

4.Describe your heating curve in five parts. For each part, say whether the temperature was rising or flat, which state or states were present, and what the particles were doing.
5.Explain in particle terms why the temperature stayed flat during melting and boiling even though energy was still being added. Use the word 'average' in your answer.
6.After round 3 your group had solid particles and liquid particles at the same time. What real situation does this model? Give an example with water.
7.In Part C the liquid's temperature was below the boiling point, yet one particle escaped. What real process does this model, and why was the liquid left behind cooler afterward? Give an everyday example.
8.Suppose a group used 8 particles instead of 4 with the same rules. After 5 rounds, would its model temperature be higher, lower or the same as yours? Would it need more tokens to melt the whole sample? Explain what this shows about temperature and thermal energy.
9.Sketch the curve you would expect for pure water vapor at 120 °C cooled steadily at 101 kPa until it is ice at −20 °C. Label the temperature of each flat step and the state in each part.
10.Name two ways this model differs from real particles, and for one of them suggest a rule change that would make the model more realistic.
Angela's Tools · Chapter 23 · The Motion of ParticlesLab 3 of 3 · Student recording sheet