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Math 7 · Science
Energy · Heat and temperature

Effects of heat and everyday applications

Before you start, make sure you know: Temperature and heat (Grade 6 Science (middle school))
Before you start, make sure you know: Density (Grade 6 Science (middle school))

The metal lid of a jelly jar that you just cannot open comes loose simply by running it under hot water from the faucet. Small gaps are left between railroad tracks. A thermos keeps hot chocolate warm for hours. These are all effects of heat on matter, and today you are going to understand them one by one.

Thermal expansion

If you leave an inflated basketball in a hot car on a Fourth of July afternoon, it feels tight and hard, whereas if you leave it outside on a freezing winter night it is soft and low on air by morning. Why does the same object change in size and tension just because its temperature changes?

Expansion of a solid and a liquid. When heated, a metal bar gets a little longer. With the same heating, the liquid in a flask rises a long way up the tube: the liquid expands more than the solid. Solid (metal bar) Liquid (in a flask) cold hot gets a little longer cold hot rises Same heating: the liquid expands more than the solid (expansion exaggerated in the drawing)
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Small gaps are left at regular intervals between train tracks, and the same occurs between sections of many bridges, as shown in the diagram. What effect of heat are…

Small gaps are left at regular intervals between train tracks, and the same occurs between sections of many bridges, as shown in the diagram.

expansion joint heat heat rail rail

What effect of heat are these joints preventing? What could happen if they did not exist?

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Explain in your own words what thermal expansion is and give an everyday example in which it is noticeable, other than a thermometer.

Explain in your own words what thermal expansion is and give an everyday example in which it is noticeable, other than a thermometer.

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A concrete bridge of $300\ \text{m}$ can lengthen by several centimeters in summer. a) Why does it lengthen? b) What would happen at the ends of the bridge if it were…

A concrete bridge of $300\ \text{m}$ can lengthen by several centimeters in summer.

  1. a) Why does it lengthen?
  2. b) What would happen at the ends of the bridge if it were built without expansion joints?
  3. c) Will the joints be more open or more closed in winter? Explain your answer.
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The metal lid of a jelly jar cannot be opened. You hold it under a hot water faucet for a few seconds and, when trying again, it opens easily. Explain what has happened,…

The metal lid of a jelly jar cannot be opened. You hold it under a hot water faucet for a few seconds and, when trying again, it opens easily. Explain what has happened, taking into account that metal expands more than glass.

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On modern high-speed railroad lines, the rails are welded together forming continuous sections kilometers long, without joints, despite thermal expansion. a) What…

On modern high-speed railroad lines, the rails are welded together forming continuous sections kilometers long, without joints, despite thermal expansion.

  1. a) What problem did traditional joints between rails solve?
  2. b) Why do you think a high-speed train prefers continuous rails?
  3. c) Reason how the rail can be attached to the ties to withstand thermal expansion: when installing it, is it better to leave it under more tension in summer or in winter? Justify your answer.
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A bimetallic strip is made of two different metals joined together; when heated, one expands more than the other and the strip bends. a) Which way does it bend: toward…

A bimetallic strip is made of two different metals joined together; when heated, one expands more than the other and the strip bends.

  1. a) Which way does it bend: toward the metal that expands more or toward the one that expands less? Justify your answer.
  2. b) Thermostats in irons and heating systems use this effect to switch the device on and off. Explain how this idea works.
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Changes of state

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When ice is heated, it first turns into liquid water and, if we continue heating, into steam. Observe the diagram: a) What are these two changes of state called? b) What…

When ice is heated, it first turns into liquid water and, if we continue heating, into steam. Observe the diagram:

solid liquid gas ? ? ? ?
  1. a) What are these two changes of state called?
  2. b) What are the opposite changes called, those that occur upon cooling?
  3. c) In each of the four changes, indicate whether water absorbs or releases energy.
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You hang wet clothes outside to dry and, after a few hours, they are dry. a) What change of state has the water in the clothes undergone? b) Where did it get the energy…

You hang wet clothes outside to dry and, after a few hours, they are dry.

  1. a) What change of state has the water in the clothes undergone?
  2. b) Where did it get the energy required for this change?
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When it is very hot we sweat, and as the sweat evaporates, we feel relief. a) What change of state does sweat undergo? b) This change requires energy: where does it come…

When it is very hot we sweat, and as the sweat evaporates, we feel relief.

  1. a) What change of state does sweat undergo?
  2. b) This change requires energy: where does it come from?
  3. c) Use the above to explain why a fan cools us down even though it does not cool the air.
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Latent heat: the temperature stops rising

Animation of the graph of temperature against heat supplied: the heating curve is drawn gradually with a point that follows it; during melting and boiling the point moves horizontally without rising, showing that the temperature stops while heat keeps arriving. T heat supplied ice melting (0 °C) liquid water boiling (100 °C)
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You place two ice cubes in a glass of a drink that is at room temperature. a) What change of state do the ice cubes undergo? b) Where do they get the energy required for…

You place two ice cubes in a glass of a drink that is at room temperature.

  1. a) What change of state do the ice cubes undergo?
  2. b) Where do they get the energy required for this change?
  3. c) Using the previous answers, explain why the drink cools down.
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A burn from steam at $100\ ^\circ\text{C}$ is more severe than a burn from boiling water at $100\ ^\circ\text{C}$. a) What change of state does steam undergo upon…

A burn from steam at $100\ ^\circ\text{C}$ is more severe than a burn from boiling water at $100\ ^\circ\text{C}$.

  1. a) What change of state does steam undergo upon touching skin?
  2. b) Taking into account that this change of state releases energy, explain why steam causes a worse burn even though it is at the same temperature as boiling water.
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Insulators and thermometers at home

If you leave a cup of hot coffee on the table, after twenty minutes it is lukewarm; however, if you pour that same coffee into a thermos (vacuum flask), it is still steaming many hours later. How does a container manage to slow down all three ways in which heat is transferred at once?

Cross-section of a vacuum flask: a double-walled silvered container with a vacuum between the walls, stopper, outer casing and support. The vacuum prevents conduction and convection, and the silvered walls reflect radiation from the hot liquid. stopper silvered walls: reflect radiation vacuum between the walls: no matter, so no conduction or convection reflected radiation hot liquid outer casing support
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A traditional thermometer has a bulb containing a liquid (formerly mercury, nowadays colored alcohol) that rises up a very thin tube when it is hot, as shown in the…

A traditional thermometer has a bulb containing a liquid (formerly mercury, nowadays colored alcohol) that rises up a very thin tube when it is hot, as shown in the diagram.

capillary tube liquid bulb

On which effect of heat is its operation based? Explain it.

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Why does a fleece or a wool sweater keep us warm? Does the garment "give heat" to the body or do something else? Explain.

Why does a fleece or a wool sweater keep us warm? Does the garment "give heat" to the body or do something else? Explain.

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A vacuum flask keeps coffee hot for hours, but it is also used to carry cold water in summer. Explain what the flask does with heat in each case: does it heat up, cool…

A vacuum flask keeps coffee hot for hours, but it is also used to carry cold water in summer. Explain what the flask does with heat in each case: does it heat up, cool down, or prevent heat from passing through?

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Double-pane windows have a layer of air trapped between two panes of glass, as shown in the diagram. Knowing that still air is a poor conductor of heat, explain what is…

Double-pane windows have a layer of air trapped between two panes of glass, as shown in the diagram.

heat inside 20 °C outside 5 °C trapped air glass

Knowing that still air is a poor conductor of heat, explain what is achieved with this layer in winter.

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A vacuum flask consists of a double-walled container with a vacuum between the walls, silvered surfaces, and an airtight stopper, as shown in the diagram. Explain which…

A vacuum flask consists of a double-walled container with a vacuum between the walls, silvered surfaces, and an airtight stopper, as shown in the diagram.

airtight stopper vacuum silvered surface hot coffee

Explain which mechanism of heat transfer is blocked by each of these three features.

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In homes with radiant floor heating, hot water pipes run beneath the floor, heating the house very comfortably. a) By which mechanism is heat distributed from the floor…

In homes with radiant floor heating, hot water pipes run beneath the floor, heating the house very comfortably.

  1. a) By which mechanism is heat distributed from the floor to the rest of the room?
  2. b) Why is it more comfortable to heat from the floor than with a small, very hot radiator in a corner?
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The liquid in a thermometer expands very little, yet the column rises significantly up the tube. Knowing that the tube is a very fine capillary, explain how a small…

The liquid in a thermometer expands very little, yet the column rises significantly up the tube. Knowing that the tube is a very fine capillary, explain how a small increase in volume is converted into a large rise that is easy to read.

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An igloo is made of blocks of compacted snow filled with small air pockets, and inside, the temperature remains close to $0\ ^\circ\text{C}$ even if it is…

An igloo is made of blocks of compacted snow filled with small air pockets, and inside, the temperature remains close to $0\ ^\circ\text{C}$ even if it is $-20\ ^\circ\text{C}$ outside, as shown in the diagram.

−20 °C 0 °C inside air pockets
  1. a) Why is compacted snow a good insulator despite being cold?
  2. b) Which mechanisms of heat loss does the closed shape of the igloo reduce?
  3. c) If the temperature inside rises above $0\ ^\circ\text{C}$, will the igloo melt? Explain your reasoning for all three answers.
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A house has double-pane windows, exterior shutters, and thick curtains. a) Explain what each of the three elements contributes to reducing heat loss in winter. b) In…

A house has double-pane windows, exterior shutters, and thick curtains.

  1. a) Explain what each of the three elements contributes to reducing heat loss in winter.
  2. b) In summer, what combination of shutters and curtains would you use during the day and at night to keep the house cool? Justify your decisions considering the three heat transfer mechanisms.
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Water, a special substance

If you drop a piece of solid wax into a container of melted wax, it sinks straight to the bottom; however, if you drop an ice cube into a glass of water, it floats on the surface. Why does solid water behave the opposite way to almost any other substance when it freezes?

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You forget a glass bottle completely full of water and tightly sealed in the freezer, and the next day it is broken. a) Water is an anomalous substance: when it freezes,…

You forget a glass bottle completely full of water and tightly sealed in the freezer, and the next day it is broken.

  1. a) Water is an anomalous substance: when it freezes, it expands instead of contracting. Using this fact, explain why the bottle broke.
  2. b) Predict what would happen if the bottle were made of soft plastic and were not completely full. Reason your answer.
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Summary

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