internal energy examples

Internal Energy in Daily Life: 6 Real-Life Examples (Boiling, Cooling)

What is internal energy in daily life? It’s the hidden energy inside everything—from your morning coffee to the fridge keeping your food fresh.

In this article, you’ll see 6 simple real-life examples of internal energy (boiling water, melting ice, etc.) and learn the first law of thermodynamics ΔU = Q – W in plain English—no PhD required.

  • ΔU = change in internal energy
  • Q = heat added to the system (positive when absorbed)
  • W = work done by the system (positive when the system expands)

Note: This uses the physics convention; in chemistry, it’s often ΔU = Q + W.

Internal energy is the total microscopic energy stored within a substance due to the random motion (kinetic energy) of its molecules and the forces (potential energy) between them—independent of the system’s position or external motion.

In daily life, it’s the invisible “energy bank” that rises when you heat soup, drops when your drink cools, and shifts dramatically during melting or boiling—all governed by the first law:

Note: This uses the physics convention; in chemistry, it’s often ΔU = Q + W.

When a material is heated or cooled, its particles undergo two key changes. Firstly, chemical bonds may form, break, or stretch, altering the material’s chemical energy storage. Simultaneously, the material heats up or cools down as particles gain or lose speed, affecting its thermal energy storage.

Below are six real life examples of internal energy.

6 Real-Life Examples of Internal Energy (with Math)


1. Boiling Water on the Stove

What you see: Water turns from liquid to steam.

    Energy flow:

    • Heat Q is supplied by the burner.
    • No work W \approx 0 (volume change of liquid water is tiny).
    • All heat goes into breaking intermolecular bonds → latent heat of vaporization.

    Math:

        \[\Delta U = Q = m \cdot L_v\]

    • m = mass of water
    • L_v \approx 2260 kJ/kg at 100 °C

    Example: Boil 0.5 kg of water:

        \[Q = 0.5 \times 2260 = 1130 \; \text{kJ} \quad \Rightarrow \quad \Delta U = +1130 \; \text{kJ}\]

    Key: Temperature stays at 100 °C while U rises due to potential energy increase.

    Boiling water example of internal energy increase

    2. Melting Ice in a Glass

    What you see: Ice melts into water at 0 °C.

      Energy flow:

      • Heat Q flows from the room.
      • No work (W = 0).
      • Energy breaks hydrogen bonds → latent heat of fusion.

      Math:

          \[\Delta U = Q = m \cdot L_f\]

      • L_f \approx 334 kJ/kg

      Example: Melt 0.1 kg of ice:

          \[Q = 0.1 \times 334 = 33.4 \; \text{kJ} \quad \Rightarrow \quad \Delta U = +33.4 \; \text{kJ}\]

      Key: Temperature stays 0 °C; U increases via potential energy.

      melting ice internal energy example potential energy in bonds

      3. Hot Coffee Cooling on the Table

      What you see: Coffee cools from 80 °C to 25 °C.

        Energy flow:

        • Heat Q leaves (negative).
        • No work (W = 0).

        Math:

            \[\Delta U = Q = m c \Delta T\]

        • c \approx 4.18 kJ/kg·°C
        • \Delta T = -55 °C

        Example: 0.2 kg coffee:

            \[\Delta U = 0.2 \times 4.18 \times (-55) = -45.98 \; \text{kJ}\]

        Key: U decreases due to kinetic energy loss.


        4. Rubbing Your Hands Together

        What you see: Hands feel warm.

          Energy flow:

          • Work done on hands → W < 0
          • Q \approx 0

          Math:

              \[\Delta U = -W\]

          Example: 50 J work done:

              \[\Delta U = +50 \; \text{J}\]

          Key: Work → kinetic energy → warmth.


          5. Inflating a Bicycle Tire

          What you see: Pressure rises.

            Energy flow:

            • Work done on gas → W < 0
            • Q \approx 0

            Math:

                \[\Delta U \approx -W\]

            Example: 200 J work:

                \[\Delta U = +200 \; \text{J}\]

            Key: Molecules speed up → higher kinetic energy.


            6. Refrigerator Cooling Food

            What you see: Food stays cold.

            Energy flow (inside):

            • Heat Q removed (Q < 0)
            • W \approx 0

            Math:

                \[\Delta U = Q\]

            Example: 1 kg milk cools from 10 °C to 4 °C:

                \[Q = 1 \times 4.18 \times (-6) = -25.1 \; \text{kJ}\]


                \[\Delta U = -25.1 \; \text{kJ}\]

            Key: U drops as molecules slow down.

            More Exmples

            No.ExampleProcessQuick Calculation
            1Air ConditionerHeat pump500 W × 3600 s = 1.8 MJ removed
            2Body MetabolismChemical → Thermal2000 kcal ≈ 8.4 MJ/day
            3Microwave HeatingEM → KE800 W × 120 s = 96 kJ
            4Car EngineChemical → KE0.01 L fuel ≈ 340 kJ
            5Sweating (Evaporation)Cooling0.01 kg × 2.26 MJ/kg = 22.6 kJ lost
            6Pressure CookerHigh T, high P≈ 400 kJ for 1 kg water
            7Dry Ice SublimationSolid → Gas0.1 kg × 571 kJ/kg = 57 kJ
            8LPG StoveCombustion0.01 kg × 46 MJ/kg = 460 kJ
            9Fridge BulbJoule heating4 W × 86 400 s = 346 kJ
            • The internal energy is the total kinetic and potential energy of all particles in the system.
            • Adding energy to raise the temperature results in particles speeding up, gaining kinetic energy.
            • Melting or boiling a substance requires energy to break bonds, increasing potential energy.
            • Internal energy includes both kinetic (particle speed) and potential (bond strength) components.
            • The effect of energy transfer (breaking bonds, stretching bonds, or increasing particle speed) depends on temperature and material state.
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            Author: U Javaid
            Umair Javed holds a Master’s in Materials Science and is now a PhD researcher in Mechanical Engineering.

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            Internal Energy in Daily Life: 6 Real-Life Examples (Boiling, Cooling)

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