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1.2.1 Conservation of mass during changes of state

The five changes of state

Definition

Change of state

A physical change in which a substance changes between the solid, liquid and gas states without becoming a different substance.

Definition

Melting

The change of state from a solid to a liquid.

Definition

Freezing

The change of state from a liquid to a solid.

Definition

Evaporation

The change of state from a liquid to a gas.

Definition

Condensation

The change of state from a gas to a liquid.

Definition

Sublimation

The change of state directly from a solid to a gas without passing through the liquid state.

  1. A change of state happens when a substance moves between the solid, liquid and gas states, for example when ice turns into liquid water.
  2. In every change of state the particles stay exactly the same particles, and only their arrangement and movement change.
  3. Melting turns a solid into a liquid, as when a knob of butter becomes a golden liquid in a hot frying pan.
  4. Freezing is the reverse of melting and turns a liquid into a solid, as when water in an ice-cube tray becomes ice in the freezer.
  5. Evaporation turns a liquid into a gas, as when a puddle on the pavement slowly disappears on a warm afternoon.
  6. Condensation is the reverse of evaporation and turns a gas into a liquid, as when water vapour from a hot shower forms droplets on a cold bathroom mirror.
  7. Sublimation turns a solid straight into a gas without the substance ever passing through the liquid state.
  8. Solid carbon dioxide, known as dry ice, sublimes at −78 ∘C-78\ ^\circ\text{C}−78 ∘C, so a lump of it shrinks away to nothing without ever leaving a puddle.
  9. Melting and freezing are opposite processes, and so are evaporation and condensation, so each of these changes can be undone by its partner.

Conservation of mass

Definition

Conservation of mass

The principle that the total mass of a closed system stays the same during any change, because particles are neither created nor destroyed.

  1. Mass is a measure of the amount of matter in an object, and it depends on how many particles the object contains and on the mass of each particle.
  2. A change of state does not create any new particles, and it does not destroy any of the particles already there.
  3. Each particle also keeps exactly the same mass, because a water molecule in ice is identical to a water molecule in liquid water or in steam.
  4. The number of particles and the mass of each particle are both unchanged, so the total mass of the substance stays the same.
  5. This is conservation of mass, and it holds for melting, freezing, evaporation, condensation and sublimation alike.
  6. For example, 200 g200\ \text{g}200 g of ice that melts completely gives exactly 200 g200\ \text{g}200 g of liquid water.
  7. If that water is frozen again, the result is still 200 g200\ \text{g}200 g of ice.
  8. What can change is the volume, because the spacing between the particles changes when the state changes.
  9. Water is an unusual case, since ice takes up slightly more space than the liquid it formed from, which is why a full glass bottle of water can crack in a freezer even though its mass has not changed.

Closed and open systems

Definition

System

An object or group of objects whose energy stores are being considered.

Definition

Closed system

A system that no matter can enter or leave, so its total mass stays constant.

Definition

Open system

A system that matter can enter or leave, so its measured mass can change.

  1. A system is the object or group of objects you choose to study, such as a flask and the substance inside it.
  2. In a closed system, no matter can get in or out, so a balance shows the total mass staying the same while a change of state happens inside.
  3. A sealed plastic bag containing ice cubes is a closed system, because the meltwater stays inside the bag.
  4. In an open system, matter can cross the boundary of the system, so the mass measured on a balance can go down or up.
  5. An uncovered dish of water left on a windowsill loses mass over a few days, because water particles evaporate and drift away into the air of the room.
  6. That mass has not been destroyed, since every one of those particles still exists as water vapour in the surrounding air.
  7. If the air in the room were included in the system, the total mass would be found to stay constant.
  8. A cold can of drink taken out of the fridge gains a little mass in the same way, because water vapour from the air condenses into droplets on its outside surface.
  9. That extra mass has come from the air around the can rather than being created.
  10. So whenever a measured mass seems to change during a change of state, the explanation is that particles have entered or left the part being weighed.
Example

Weighing a change of state

  • A sealed plastic bag holding some ice cubes is placed on a balance, and the reading is 56.2 g56.2\ \text{g}56.2 g.
  • The ice melts completely, but none of the water can leave the sealed bag.
  • The balance still reads 56.2 g56.2\ \text{g}56.2 g, because the same particles are present in a different state.
  • An open beaker of water reads 148.0 g148.0\ \text{g}148.0 g on Monday and 139.5 g139.5\ \text{g}139.5 g on Thursday.
148.0 g−139.5 g=8.5 g 148.0\ \text{g} - 139.5\ \text{g} = 8.5\ \text{g} 148.0 g−139.5 g=8.5 g
  • This 8.5 g8.5\ \text{g}8.5 g is the mass of water that evaporated and left the open beaker as water vapour, so it has moved rather than been destroyed.
Practical

Mass and temperature while stearic acid freezes

  • Aim: to use a data logger to record how the temperature and the mass of a substance change as it cools and freezes, and to show that the mass stays constant during the change of state.
  • Apparatus: a boiling tube about one third full of solid stearic acid, a beaker of water just off the boil to act as a water bath, a temperature probe connected to a data logger and laptop, an electronic balance reading to 0.01 g0.01\ \text{g}0.01 g, a small empty beaker to stand the tube in, a test-tube holder, a loose plug of cotton wool, paper towels and eye protection.
  • Method:
    • Stand the boiling tube in the hot water bath until all of the waxy white stearic acid has melted into a clear, colourless liquid at about 80 ∘C80\ ^\circ\text{C}80 ∘C.
    • Push the temperature probe into the centre of the liquid so that its tip is surrounded by stearic acid and does not touch the glass.
    • Plug the mouth of the tube loosely with cotton wool around the probe lead, so that nothing can drop in or splash out.
    • Lift the tube out with the test-tube holder, wipe the outside completely dry with a paper towel, and stand it upright in the small beaker on the balance.
    • Start the data logger so that it records the temperature every 10 s10\ \text{s}10 s, and write down the balance reading at the start and then every minute.
    • Leave the tube undisturbed for about 151515 minutes while it cools to about 50 ∘C50\ ^\circ\text{C}50 ∘C, keeping hands and draughts away from the balance.
    • Note the time when cloudy white solid first appears at the edges and the time when the whole tube has set solid.
    • Plot a graph of temperature against time and a graph of mass against time, using the same time axis for both.
  • Variables: time is the independent variable, temperature and mass are the dependent variables, and the tube, its contents and its surroundings stay the same throughout.
  • Results: the temperature falls quickly at first, stays almost level at about 69 ∘C69\ ^\circ\text{C}69 ∘C while the stearic acid freezes, and then falls again once it is fully solid.
  • Conclusion: the mass reading stays the same from start to finish, to within the resolution of the balance, because no particles enter or leave the tube while the liquid turns into a solid.
  • Watch out: water left on the outside of the tube evaporates during the run and makes the mass appear to fall, a draught or a knock makes the balance reading drift, and a balance that only reads to 1 g1\ \text{g}1 g is too coarse to show whether the mass is truly constant.
  • Safety: wear eye protection, handle the hot tube only with the holder because molten stearic acid causes burns, and never seal the tube with a rubber bung while it is hot because the trapped air expands as it is heated.
Common Mistake
  • Do not say that mass is lost when water evaporates from an open container, because the particles still exist as water vapour in the air.
  • Do not say that particles get bigger, heavier or lighter when a substance changes state, because each particle keeps the same size and mass and only the spacing changes.
  • Do not describe the gaps between the particles of a gas as being filled with air, because the space between the particles is empty.
  • Do not confuse mass with volume, because a change of state can change the volume of a substance while its mass stays the same.
Exam technique

Explaining conservation of mass

  • An explain question about mass during a change of state usually carries two marks, one for the particles and one for the system.
  • For the first mark, state that the number of particles stays the same because no particles are created or destroyed.
  • For the second mark, state that no particles can enter or leave because the container is sealed, or that particles have escaped into the air if the mass of an open container has fallen.
  • Writing only that mass is conserved repeats the question and does not earn the explanation marks.
  • Name the change of state precisely, because calling a solid turning straight into a gas evaporation loses the mark for sublimation.
Self review
  • Name the change of state in which a solid turns directly into a gas.
  • Explain why the total mass of a substance stays the same when it melts.
  • State what makes a system closed rather than open.
  • An open dish of water loses 5 g5\ \text{g}5 g overnight, so explain where the 5 g5\ \text{g}5 g has gone.
  • Describe how a data logger and a balance can be used to show that mass stays constant while stearic acid freezes.
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1.2.1 Conservation of mass during changes of state Revision Guide

  1. GCSE
  2. /Physics
  3. /1.2.1 Conservation of mass during changes of state

Revision notes for OCR GCSE Physics 1.2.1 Conservation of mass during changes of state: explanations and worked examples.

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