KS3 · Chemistry

Conservation of mass and balanced equations

Put a solid in a flask, let it react, and the scales don't move. So where did the solid go? The answer is hiding in the atoms.

Chemistry · Reaction balancer

Atom audit: tip the equation into balance

A reaction only rearranges atoms, so every element must add up the same on both sides of the arrow. Press + or − to change the big number in front of a whole formula, and watch the tally under it.

Reactants
1
H2
1
O2
Products
1
H2O
H2→2✓
O2→1✗
Conservation check: count atoms on both sides.Not yet.

Hydrogen and oxygen make water. This time one fix upsets the other element, so you will go round the count-and-add loop more than once. Notice that the small numbers inside H₂, O₂ and H₂O never move.

Tap + or − under each molecule to set its coefficient.
Watch out: Only the big numbers move. The small numbers inside a formula, like the 2 in O₂, are part of the substance's name, so they stay exactly as they are.

Reading an equation

Start with the word equation: sodium + bromine → sodium bromide. Reactants are on the left, products are on the right, the + means 'adding' and the arrow means 'changes into'. Now the symbol equation, which uses formulae. Tap each part to decode it.

Tap a molecule to see what it does in the reaction.

Spot the slip

Where does this balancing go wrong?

A student is balancing hydrogen + oxygen → water. Read each line, then tap the one where the method goes wrong.

A student's working — which line goes wrong?

Predict, then check

Commit to an answer before you open the reveal.

Calcium carbonate and hydrochloric acid are in a conical flask, with a balloon on top to collect the carbon dioxide gas that is made. The flask, balloon and chemicals read 100 g on a balance at the start. What will the balance read once the reaction has finished?

Missing mass

Find the mass that is missing

(a) Copper carbonate is heated and breaks down into copper oxide and carbon dioxide. 247 g of copper carbonate makes 159 g of copper oxide. What mass of carbon dioxide is made? (b) In a different reaction, two reactants make 300 g of product. One reactant has a mass of 120 g. What is the mass of the other reactant?

  1. The rule for both parts: total mass of reactants = total mass of products.
  2. (a) The only reactant is copper carbonate, 247 g, so the two products must add up to 247 g.
  3. missing step
Which line is step 3?

WHAT YOU'VE LEARNED

A quick recap of today's lesson.

What you need to know

  • In a reaction, atoms are rearranged to make new substances. None are created or destroyed, so total mass of reactants = total mass of products.
  • A subscript (small number) counts the atoms of the element it follows. A coefficient (big number in front) multiplies the whole formula.
  • To balance an equation, change coefficients only until each element has the same number of atoms on both sides of the arrow.

The big picture

In a chemical reaction atoms are rearranged, never created or destroyed, so the mass of the products equals the mass of the reactants. A balanced symbol equation shows the same number of atoms of each element on both sides of the arrow. You balance by changing coefficients (the big numbers in front of formulae), never subscripts.

Key points

1Atoms are never created or destroyed in a reaction. They are rearranged to make new substances, so the mass of the products equals the mass of the reactants.
2Σ means 'the sum of'. Σ mass of reactants = Σ mass of products, so a missing mass is found by writing the total and subtracting the masses you know.
3In a word equation, reactants are on the left, products are on the right, + means 'adding' and the arrow means 'changes into'.
4A subscript multiplies only the element it directly follows, and no subscript means one atom. H₂O has 2 H and 1 O. CO₂ has 1 C and 2 O. CuSO₄ has 1 Cu, 1 S and 4 O.
5A coefficient is the big number in front of a formula. It multiplies every atom in that formula, and none shown means 1. 2MgO means (MgO)(MgO).
6When balancing, a formula must not change. Subscripts cannot be changed or added to, only coefficients can. H₂O → H₂O₂ would make hydrogen peroxide, a different compound.
7Balancing method: count the atoms of each element on each side. Where they differ, add a whole formula to the right side, recount, and repeat until every element matches. Then read off the coefficients.

Worked example

Problem

127 g of copper reacts with 32 g of oxygen to make copper oxide. What mass of copper oxide is formed?

⚠ Watch out

Changing a small number to make the atoms match. Writing H₂O₂ instead of H₂O 'fixes' the oxygen count, but H₂O₂ is hydrogen peroxide, not water. Put a big number in front of the whole formula instead.

🧠

Memory hook

Big numbers are dials, small numbers are name tags. Turn the dials as much as you like, but never touch a name tag. (The comparison breaks down in one place: change a subscript and you don't get a relabelled substance, you get a different one.)

✓

Check yourself

From memory: a reaction makes 80 g of product from two reactants, and one reactant is 35 g. What is the other? (Answer: 45 g, because the reactants must total 80 g.)

Flashcards

(14)
In a chemical reaction, what happens to the atoms?
They are rearranged to make new substances. None are created or destroyed.
What do + and → mean in a word equation?
+ means 'adding' and the arrow means 'changes into'. Reactants are on the left, products on the right.
What does a subscript tell you? (the 2 in H₂O)
How many atoms of the element it directly follows. No subscript means one atom, so H₂O has 2 hydrogen atoms and 1 oxygen atom.
What does a coefficient tell you? (the 2 in 2MgO)
How many of the whole formula there are. It multiplies every atom in the formula, and none shown means 1. 2MgO means (MgO)(MgO).
How many atoms of each element are in CuSO₄?
1 copper, 1 sulfur and 4 oxygen.
When balancing, which numbers can you change?
Only the coefficients, the big numbers in front of whole formulae. The subscripts never change.
Why can't you change H₂O to H₂O₂ to balance an equation?
H₂O₂ is hydrogen peroxide, a different compound. It changes the chemical instead of balancing the equation.
What does 'balanced' mean for a symbol equation?
Each element has the same number of atoms on both sides of the arrow.
What is the method for balancing a symbol equation?
Count the atoms of each element on each side. Where they differ, add a whole formula and recount. Repeat until every element matches, then tally up the coefficients.
How many atoms of each element are on each side of 2Na + Br₂ → 2NaBr?
2 sodium atoms and 2 bromine atoms on each side, so it is balanced.
A reaction makes 256 g of a single product. What mass of reactant was there?
256 g, because the total mass of reactants equals the total mass of products.
How do you find a missing mass in a reaction?
Write the total (total mass of reactants = total mass of products), then subtract the masses you already know.
In the calcium carbonate and acid flask with a balloon, why did the balance still read 100 g?
The solid had not disappeared. It reacted and its atoms were rearranged, and the balloon caught the gas.
What does the symbol Σ mean?
'The sum of'. Σ mass of reactants = Σ mass of products.

Tap any card to flip it, or use Study as deck to go through them one at a time. In the full lesson these run as a spaced-repetition deck — you rate each card Hard, Good or Easy and the tricky ones keep coming back until they stick.

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