Mass is conserved because atoms are only rearranged
Law of conservation of mass
The rule that no atoms are made or destroyed in a chemical reaction, so the total mass of the products equals the total mass of the reactants.
- During a reaction, bonds between atoms break and new bonds form, so the atoms rearrange into new substances.
- The same atoms are present at the end as at the start, so the total mass cannot change.
- The total mass of the products therefore equals the total mass of the reactants.
- A balanced equation shows this, because it has the same number of each type of atom on both sides.
- In 2Mg+O2→2MgO2\text{Mg} + \text{O}_2 \rightarrow 2\text{MgO}2Mg+O2→2MgO, there are two magnesium atoms and two oxygen atoms on each side.
- The law applies to every reaction, including reactions that give off a gas or form a precipitate.
When a measured mass changes, a substance has moved into or out of the container, because the reaction itself never creates or destroys mass.
Conservation of mass lets you calculate a missing mass
- Add the masses of all the reactants to find the total mass of the products.
- If one product mass is unknown, subtract the known masses from the total.
- Heating 10.0 g10.0\,\text{g}10.0g of calcium carbonate gives 5.6 g5.6\,\text{g}5.6g of calcium oxide, so the mass of carbon dioxide made is 10.0−5.6=4.4 g10.0 - 5.6 = 4.4\,\text{g}10.0−5.6=4.4g.
- The masses in a reaction are always in the same proportion, so using twice the mass of reactant gives twice the mass of each product.
- Heating 20.0 g20.0\,\text{g}20.0g of calcium carbonate therefore gives 11.2 g11.2\,\text{g}11.2g of calcium oxide and 8.8 g8.8\,\text{g}8.8g of carbon dioxide.
- Check that the product masses add up to the reactant total, since any difference points to an arithmetic slip or a substance that was left out.
- 2.4 g2.4\,\text{g}2.4g of magnesium burns completely to form 4.0 g4.0\,\text{g}4.0g of magnesium oxide; find the mass of oxygen that reacted.
- The mass of the products equals the mass of the reactants, so the mass of magnesium plus the mass of oxygen is 4.0 g4.0\,\text{g}4.0g.
- Mass of oxygen =4.0−2.4=1.6 g= 4.0 - 2.4 = 1.6\,\text{g}=4.0−2.4=1.6g.
Mass falls in an open container as gas escapes
Non-enclosed system
An open container that gases can escape from or enter from the air, so its measured mass can change during a reaction.
Particle model
A model that represents all matter as tiny particles whose arrangement, spacing and movement explain the properties of solids, liquids and gases.
- Marble chips react with hydrochloric acid in an open flask to make calcium chloride, water and carbon dioxide gas.
- The balance reading falls as the reaction goes on.
- Gas particles are far apart and move quickly in random directions, so they spread out of the open flask into the room.
- The balance no longer weighs these escaped particles, so the measured mass drops by the mass of carbon dioxide lost.
- Heating copper carbonate in an open tube also loses mass, because carbon dioxide leaves: CuCO3→CuO+CO2\text{CuCO}_3 \rightarrow \text{CuO} + \text{CO}_2CuCO3→CuO+CO2
- If the escaped gas were collected and weighed, the total mass of all the products would equal the mass of the reactants.
A match gets lighter as it burns, because the carbon dioxide and water vapour it produces escape into the air.
Mass rises when a product gains gas from air
- When magnesium ribbon is heated in a crucible, it reacts with oxygen from the air to form magnesium oxide.
- The magnesium oxide has a greater mass than the magnesium that was heated.
- Oxygen particles from the air bond to the magnesium atoms and stay in the solid product, so the balance now weighs them.
- The mass gained equals the mass of oxygen that reacted.
- Iron wool heated in air also gains mass, because the iron combines with oxygen to form iron oxide.
- Before the reaction, the oxygen was part of the air and was not on the balance, so no mass was created.
The crucible lid is lifted briefly from time to time, so that oxygen can get in while only a little of the white magnesium oxide escapes as smoke.
In an enclosed system, mass stays the same
Enclosed system
A sealed container that no substance can enter or leave, so its total mass stays constant during a reaction.
- In a sealed container, no particles can leave or enter.
- Marble chips and acid in a flask closed with a bung give the same balance reading before and after the reaction.
- The carbon dioxide particles stay inside the flask, so they are still weighed.
- A reaction with no gas involved keeps the same mass, even in an open beaker.
- Mixing silver nitrate and sodium chloride solutions forms a precipitate, but the total mass of the beaker and its contents does not change.
- An observed change in mass therefore always means that a substance has crossed the boundary of the container.
When a question asks you to explain a change in mass, name the gas, say whether its particles left the container or joined the product from the air, and state that mass is still conserved.
- State the law of conservation of mass.
- Why does the mass of an open flask of marble chips and acid decrease?
- Why does magnesium gain mass when it burns in air?
- 12.0 g12.0\,\text{g}12.0g of a solid decomposes to give 7.6 g7.6\,\text{g}7.6g of a new solid and a gas; what mass of gas is made?
- Why does the mass stay the same when the same reaction is carried out in a sealed flask?