Internal energy
Energy moves from hotter parts of a body to colder parts. Particles interact; in a solid they vibrate around their positions. In metals, free electrons also carry energy.
A flow of matter carrying energy is convection.TIME TO UPGRADE YOUR BROWSER
Physics keeps moving. Your browser does not yet support the features our experiments and games need. Update it and come back for more discoveries.
Install browsers only from official websites. On iPhone and iPad, update iOS / iPadOS.
Feel physics in motion. Start with conduction: energy moves from hot to cold without transferring matter.
Heat in motion. From hot to cold.
An artistic animation. The physics is explained below.
From spoons to insulation: three ideas that explain familiar things.
Energy moves from hotter parts of a body to colder parts. Particles interact; in a solid they vibrate around their positions. In metals, free electrons also carry energy.
A flow of matter carrying energy is convection.A material’s thermal conductivity is described by λ (or k), measured in W/(m·K). A smaller λ means less heat flow for the same thickness, area and temperature difference.
λ is thermal conductivity; c is specific heat capacity. These are different properties.Heat transfers spontaneously from hotter to colder. In a thermally isolated system this leads to thermal equilibrium. If a heat source keeps heating, a temperature difference can remain.
Touch senses heat flow, not an exact temperature.For a uniform flat layer at steady state, the heat-transfer rate is P = λAΔT/d. A is area and d is thickness. Doubling the thickness halves the rate when everything else is equal. This model ignores edge effects; it is not a complete building calculation.
Conductivity also depends on temperature and material structure. Do not compare insulation using just one number if the thicknesses differ.
Rotation and waves on the first screen are an artistic image of heat, not a physical diagram of conduction.
8 worlds of heat. No timer. Spin, think and discover why. Or sign in to collect ranking points.
PRESS THE CENTRE · DISCOVER A TOPIC
0 / 0 discoveries
From particles to solar energy, every topic has a little story from everyday life.
Pavlo Viktor’s explanations in our concise interpretations. Read, change conditions in a live model and return to the original video.
Why must a thermometer settle? Change the mass and predict how warm and cold objects reach agreement.
Explore equilibrium ↗Copper, steel or wood? Design a fair comparison and solve the “cold” metal trap.
Solve the thermal case ↗Lower pressure in the virtual vessel. Discover how water can boil at room temperature.
Explore cold boiling ↗Original videos by Pavlo Viktor. Educational interpretations and implementation by Yana Kostova. Each article links to its original video.
Open the catalogue to load lessons.
Побудуй станцію, розкрий загадки, відкалібруй термометр або стань тепловим інженером. Обирай, перевіряй, пробуй знову. Тут немає таймера — є час зрозуміти.
From a small guess to a big “aha!” Each route has 12 steps with animated clues.
Choose an adventure ↓Pack your cargo, build protection and adjust the heating. Every choice has a physical reason.
Loading the game… If the buttons do not appear, refresh and enable JavaScript for this site.
Do not trust first impressions. Open a clue, make a prediction and find an explanation without magic.
Loading the game… If the buttons do not appear, refresh and enable JavaScript for this site.
Read the scale, check equilibrium and uncover the secret of careful measurement. 12 steps without rushing.
Loading the game… If the buttons do not appear, refresh and enable JavaScript for this site.
Compare materials fairly, manage heat paths and support your conclusion. 12 engineering challenges.
Loading the game… If the buttons do not appear, refresh and enable JavaScript for this site.
These are learning models, not instructions for heating things at home. Progress stays in this browser if storage is available. These games do not add to the overall ranking.
Take your time. Every new question gives one chance to earn points.
The difficulty grows with your discoveries.
Create a username and password and come back for new questions. Your chosen nickname appears in the public ranking only with your consent.
Your result appears in the public ranking if you agree. For playing with friends there are private team rooms with a shared mission and combined points, without chatting with strangers.
The question bank will grow with new lessons. Questions already credited cannot earn points again. Learning without registering is always available.
A correct answer earns 10, 20 or 30 points depending on the level. Every 10 correct answers raise your level, up to level three.
Loading the ranking…
New lessons in Telegram ↗Open the bot and choose “Subscribe”. 1–2 selections a day and new articles. You can unsubscribe at any time.
Predict → test → explain. Change one variable and see why the result changes.
Ready to explore
Virtual experiment. The thermal colour is symbolic: pure water does not turn red when heated. Boiling bubbles contain water vapour.
A schematic, not to scale. Each dot is an H₂O molecule: boiling does not break it apart. Distances and speeds are illustrative; measure temperature with a thermometer. The white “cloud” above the flask represents condensed droplets; gaseous water vapour is invisible.
Other initial conditions are identical for A/B. Graphs share the same scales.
Only in free time-based mode. Pressure can change during the experiment: a pressure drop may cause flash boiling. At 0 W the water approaches the ambient temperature: warmer water cools and colder water warms. U is a set property of the model flask; its heat capacity is ignored.
A — solid line. B — dashed line.
1 kg of water · 1 atm. An approximation for a dilute solution.
Pure water: 99.97 °C. Solution: 99.97 °C. ΔT = 0.00 °C.
i ≈ 2; Kb = 0.512 K·kg/mol. This card does not predict how long the solution takes to heat.
A separate equilibrium experiment at 25 °C, starting with 1 kg of water. Change the fraction evaporated and see how much salt still dissolves. This is not a model of evaporation rate or boiling brine.
NaCl solubility is about 360 g/kg of water at 25 °C. Dissolved salt + crystals = initial salt. Salt does not disappear with the water. Do not extend the “pinch of salt” formula to concentrated solutions.
Basic mode: uniformly mixed water, constant absolute pressure, vapour escapes. It ignores heat losses, flask heat capacity, superheating and evaporation before boiling. At 0 W water does not cool in basic mode; extended mode adds heat exchange U(T − Tambient). This describes the model, not every real condition.
Q = ∫Pdt; c = 4180 J/(kg·K); Qheat = mc(Tboil − 20); mvapour = (Q − Qheat)/L(p). Tboil: IAPWS-IF97, region 4. L(p): IF97 table at 0.1 atm intervals, with linear interpolation between points.
Explore heating and pressure only virtually. Do not repeat pressure experiments at home.
Only in this browser on this device. Nothing is sent to the server.
Three ideas to help you
understand thermal processes.
The body receives energy. Its temperature rises during heating; during melting it can remain constant.
For example, ice melts in a glass.The body gives energy to its surroundings. Its temperature falls during cooling; during freezing it can remain constant.
For example, hot tea cools down.In an isolated system, the heat released by hotter bodies equals the heat absorbed by colder bodies.
Q is measured in joules (J).Conduction. Energy passes between particles and neighbouring parts of a body without transferring matter. This is how a metal spoon warms in tea.
Convection. Heat is carried by flowing liquids or gases. Heated water rises and colder water sinks.
Radiation. Energy travels in electromagnetic waves. This is how energy from the Sun reaches Earth through the vacuum of space.
All the formulas you need
in one place.
More water or a larger temperature change means more heat is needed.
Half a litre of water is about 0.5 kg. Heat from 20 to 30 °C: Δt = 10 °C. Q = 4200 × 0.5 × 10 = 21 000 J = 21 kJ.
This is the heat absorbed by the water. A real heater will use more energy if some warms the air and container.
The heat released by warmer bodies equals the heat absorbed by colder ones.
An imaginary mixture: equal masses of water at 60 and 20 °C reach 40 °C if there are no losses and the container absorbs no heat. One portion cools by 20 °C and the other warms by the same amount.
Different masses? The larger portion has more influence on the final temperature. Try it in the mixing model below.
Approximately this much is needed to heat 1 kg of water by 1 °C.
4200 J/(kg·°C) is a common school rounding. The lab uses 4180 J/(kg·K). These are close approximations: water’s heat capacity varies slightly with temperature. A change of 1 °C equals a change of 1 K.
The same example: 4180 × 0.5 × 10 = 20 900 J. With school rounding: 21 000 J, a difference of about 0.5%.
Specific heat capacity c tells us how much energy is needed for heating. Conductivity λ tells us how a material conducts heat. These are different properties.
Change the conditions.
Observe the result.
Choose the mass and temperature of the water.
We will calculate the result straight away.
Colour is a symbolic temperature scale. Particle motion is not boiling.
Final mixture temperature
Can you reach the target temperature?
The material determines how quickly a temperature change spreads.
Choose conditions and start the experiment.
This is a qualitative illustration: speed and colour show a trend, not exact temperature values.Decide whether the body absorbs or releases heat.
Choose an answer.
Change one condition. Watch the diagram and numbers. Explain what happened.
1 kg of water started at 20 °C. It has now received 560 kJ: you can see it boiling! Change the energy to find where heating becomes boiling.
Water boils at 100 °C. Reduce the energy to return to heating.
100.0 °CTemperature
280 sHeating time in the model
0.901 kgRemaining liquid water
Before boiling, Q = cmΔt. Heating 1 kg of water from 20 to 100 °C needs 336 kJ. Further energy turns water into vapour: Q = rm, r ≈ 2260 kJ/kg. At constant pressure, temperature hardly changes during boiling. A more powerful heater supplies energy faster and makes boiling more vigorous.
The model ignores heat losses and container heat capacity; pressure is 1 atm. The energy control sets energy already absorbed by the water; time is calculated as Q/P.
Colour is a symbolic temperature scale; water does not turn orange. Bubbles appear during boiling. Gentle container shaking is an artistic effect.
The same area, 1 m², and a temperature difference of 20 °C. Which layer lets less energy through each second?
16.0 W
Heat-transfer rate through the layer
At steady state P = λAΔT/d. Double the thickness: the rate halves. Reduce λ: the energy flow also falls. Material values are approximate; a uniform flat-layer model ignores moisture, thermal bridges and edge effects.
The starting temperature is 20 °C. Compare how water and metals heat up with the same mass and absorbed energy.
The fill shows temperature on a symbolic scale, not expansion of the substance.
30.0 °C
Δt = Q/(cm). A higher specific heat capacity c means a smaller temperature change for the same Q and m. With 42 kJ, 1 kg of water warms by 10 °C, aluminium by about 46.7 °C and copper by 109.1 °C. The model ignores heat losses and changes of state; c is constant.
Familiar things.
Surprising explanations.
Air is trapped between snow crystals. It conducts heat poorly, so a layer of snow protects soil and plants from rapid cooling.
Metal and wood can have the same room temperature. But metal takes heat from your hand faster, so it feels colder.
Porous materials such as aerogel limit heat transfer. Fluffy clothes use a similar idea: air between the fibres helps retain heat.
A vacuum has no matter for convection or conduction. Energy passes between separated bodies by radiation.
Conduction only. Everyday traps, unusual comparisons and a little logic, without timers or school marks.
Arrows show the direction of energy transfer. One cube melts faster. Both surfaces were in the same room. What did our detective miss?
Test it in a real experiment →Make a guess. Choose an explanation. After answering, discover why one idea works and another fails.
6 real experiments with simple things. It is interesting to make a wrong prediction here, and understand why.
Open the instructions, make a prediction and check off the steps in order. Compare your observations with your prediction and repeat. Diagrams explain the idea; they are not photos or promised results.
Motion in the diagrams is a repeated illustrative animation, not a measurement. Work through your own experiment step by step below.
Does an ice cube in a jacket melt faster or slower?
Two identical plastic cups with lids, two similar ice cubes, dry fabric, a tray and a clock.
Choose a prediction. Then check off the completed steps in order.
Change only the covering. Keep the amount of ice, cups, lids and location the same.
The wrapped cube usually lasts longer: insulation reduces energy entering from the warm room. The “jacket” does not create cold. If there is no difference, check the fabric thickness and repeat.
Insulation works both ways. It slows cooling of warm things and warming of cold ones. How could this help bring ice cream home?
Stay safe: Keep the fabric dry. Catch water on the tray and keep it away from electrical appliances.
Will “cold” metal save the ice? Make a prediction!
Metal and plastic surfaces without sharp edges, two similar cubes, a tray and a clock.
Choose a prediction. Then check off the completed steps in order.
Use equal ice sizes, locations and starting temperatures. Choose similarly sized surfaces; their thickness also matters.
Ice often melts faster on metal because metal transfers energy to it better. Colder to touch does not mean colder by thermometer. This is a qualitative comparison, not an exact measurement of conductivity.
One temperature — different sensations. Follow the energy from the room-temperature surface to the ice. Melting speed depends on both the material and the surface dimensions.
Stay safe: Do not chill the metal in a freezer or touch ice with your tongue. Clean up the water afterwards.
The cup is “sweating”: a leak, or water from the air?
Two clear plastic cups, room-temperature water, ice, lids and a cloth.
Choose a prediction. Then check off the completed steps in order.
Change water temperature; keep cups, lids and surrounding air the same.
Water vapour in the air condenses on a sufficiently cold surface. Outside droplets are not proof of a leak. In very dry air there may be no visible droplets. Repeat under different conditions rather than inventing a result.
Air contains water too. Water vapour can become droplets on a cold surface. Why are they easier to see in a humid room?
Stay safe: Use stable cups and a tray; do not drink the water after the experiment.
Dark or light: which “T-shirt” catches more energy?
Two identical cups, black and white paper, water, two safe thermometers and a clock.
Choose a prediction. Then check off the completed steps in order.
Only colour changes. Keep water volume, cups, exposure time and wind conditions similar.
A dark covering usually absorbs more solar radiation, so its water may warm more. Material, wind and clouds also affect real results. This simplified experiment is inspired by the NASA JPL solar heater.
Light can heat things. Compare the temperature change, not just the final number. Clouds and wind matter too: record the conditions.
Stay safe: No magnifying glasses, mirrors or concentrated rays. Do not look at the Sun. Try another day if it is cloudy.
Heat without a battery: where did the energy come from?
Your dry palms and a clock. You already have a laboratory!
Choose a prediction. Then check off the completed steps in order.
Compare stationary contact with sliding. Do not rub harder.
While sliding, you do work against friction. Some energy becomes internal energy in your palms, warming them. The source is your body’s energy. Touch provides an observation, not an exact temperature reading.
Mechanical work can cause heating. Find another example of mechanical energy becoming internal energy. Which part of the system warms up?
Stay safe: Move gently. Stop if uncomfortable; do not rub damaged skin.
The water vanished without boiling. Where is it now?
Two sealed bags, room-temperature water and warm water up to 40 °C, two identical paper-towel pieces, a dropper and a tray.
Choose a prediction. Then check off the completed steps in order.
Keep paper, drops, lighting and airflow the same. Only water temperature inside the bags changes.
Water evaporates without boiling. Warming the paper usually speeds evaporation: particles gain energy to enter the gas phase. Water vapour is invisible; arrows are symbolic. Humidity affects the rate.
Water becomes invisible vapour. During evaporation it enters the air. Predict how moving air will affect it, and change one condition at a time.
Stay safe: No boiling water or alcohol. An adult checks the warm water and bag seals; use a tray.
Water experiments need a tray and an adult’s help. Results depend on conditions: record what you see, even if your prediction was wrong.
Start by asking “why?”. Then open the explanation and test the idea in the laboratory.
If both objects have spent a long time in the room, their temperatures are approximately equal. Metal carries energy away from a warm hand faster, so it feels colder. Touch does not replace a thermometer.
Think: why are saucepan handles made from poor heat conductors?
Your body produces heat through metabolism. A blanket traps air and slows heat transfer. An ordinary blanket is not an energy source.
Experiment without heating: compare how long ice lasts in a bare cup and one wrapped in fabric.
Space between the Sun and Earth is mostly a vacuum, so air currents cannot circulate there. Electromagnetic radiation carries energy, some of which Earth’s surface absorbs.
Think: why is shade often cooler than direct sunlight?
Water needs a lot of energy for a given temperature change: its specific heat capacity is about 4200 J/(kg·°C). A large mass of water heats and cools slowly.
Problem: 0.5 kg of water was heated by 10 °C. Q = 4200 × 0.5 × 10 = 21 000 J, ignoring losses.
When pure ice melts at normal pressure, energy changes its state. While ice and water coexist in equilibrium, the temperature stays near 0 °C. Once melting is complete, the water can warm up.
Distinguish heating, Q = c·m·(t₂ − t₁), from melting, Q = λ·m. Here λ is specific latent heat of fusion (J/kg), not the conductivity coefficient used in another topic.
Evaporating water needs energy, which can come from fabric and skin. Moving air carries humid air away and can speed evaporation.
Observe safely: how does airflow affect drying speed? Do not get too cold.
A thermos slows heat exchange in both directions. The vacuum gap reduces conduction and convection, reflective surfaces reduce radiation, and the lid limits exchange through the neck.
Test the idea: can insulation help a cold drink in a warm room?
For two portions of water without losses, mixture temperature depends on their masses: t = (m₁t₁ + m₂t₂)/(m₁ + m₂). Equal masses give the ordinary average. A real container may also absorb energy.
Example: 2 kg at 20 °C + 1 kg at 80 °C → 40 °C. Test other proportions in the lab.
100 °C is water’s boiling point at normal atmospheric pressure. In the mountains pressure is lower, so water can boil at a lower temperature. Unlike boiling, evaporation is possible even at 20 °C.
Do not experiment with boiling water on your own. Models and observations are enough for explanation.
Rub your palms: mechanical work can increase their internal energy. Heat transfer and work are two ways to change internal energy. Energy does not appear from nothing.
Explain in words: where does the energy come from during friction?
On a temperature–time graph, a sloping segment may show heating. A horizontal segment during a change of state means constant temperature even though energy enters. Always check axis labels and experiment conditions.
Ask: does a horizontal line necessarily mean the heater was switched off?
Heat only as much water as you need. Reduce heat losses with insulation. Power tells us the rate of energy transfer or conversion: 1 W = 1 J/s.
Example: 500 W for 10 s → 5000 J. Not all the energy from a real appliance goes only into the water.
Materials prepared for grade 8. Project creator — Yana Kostova. Hot experiments require an adult; interactive labs can be explored independently.
Three levels. Six questions each.
No marks — just new discoveries.
EASYPhysics creator and technical implementer. She makes explanations, interactive experiments and games that invite you to explore and understand physics.
Yana on Telegram ↗Yana’s dad. Supports the server infrastructure and offers advice during development and testing.
Contact on Telegram ↗