Every card in Matter and particles, Year 9

2 g/cm³

HintUse the ruler measurements to find how much space the block takes up first.

WhyThe volume is 2 × 3 × 5 = 30 cm³. Density = mass ÷ volume, so 60 ÷ 30. The unit follows from the sum: grams divided by cubic centimetres.

27

HintThe density tells you what each single cubic centimetre weighs in at.

WhyDensity = mass ÷ volume rearranges to mass = density × volume, so 2.7 × 10. Each cubic centimetre has a mass of 2.7 g, and there are ten of them.

volume

HintIt is the amount of space the object takes up.

WhyDensity compares how much matter there is with how much room it fills. Lead is dense because a lot of mass is packed into a small space; expanded polystyrene is the opposite.

30 cm³; 3 g/cm³

HintThe stone pushes aside exactly its own amount of space in the water.

WhyAn awkward shape cannot be measured with a ruler, but it displaces its own volume of water: 70 − 40. Then density is mass divided by that volume, 90 divided by the difference in the two readings.

Block B

HintWork out the mass of a single cubic centimetre of each.

WhyA has 200 ÷ 100 = 2 g in each cubic centimetre; B has 150 ÷ 50 = 3 g in each. B is lighter overall but denser, because its mass is packed into much less space.

More particles hit the walls each second

HintPicture hail on a roof, and then a much heavier shower.

WhyEach air particle that strikes the inside of the tyre gives it a tiny push. With more particles in the same space there are more collisions every second, so the total push on each bit of the tyre wall is bigger.

Its particles move randomly in all directions

HintAsk which way any one of them is heading at a given instant.

WhyGas particles fly about in straight lines until they hit something, with no preferred direction. At any moment about as many are heading up as down or sideways, so every part of the inside surface is struck equally often.

Gas pressure

HintA gauge at a garage measures it inside your tyres.

WhyOne collision is far too small to notice, but there are countless millions every second, and together they add up to a steady outward force on every square centimetre of the wall.

Ice is less dense than liquid water

HintCompare how much mass is packed into each cubic centimetre of the two.

WhyAnything less dense than the liquid around it floats. A lump of ice has slightly less mass than the same volume of water, so it rides at the surface with about a tenth of it showing above.

Water expands as it freezes

HintThe same mass needs more room once it has turned solid.

WhyMost liquids shrink a little when they solidify. Water does the opposite: the ice takes up about a tenth more space than the water it formed from, and a sealed pipe has no room to give.

further apart

HintThe same particles fill more space as a solid, so think about the gaps.

WhyIn most solids the particles pack tighter than in the liquid. In ice they lock into a fixed, roomy pattern with more empty space between them, which is why the same mass of water takes up more volume frozen.

The water beneath stays liquid

HintThink about what the floating layer does for everything underneath it.

WhyBecause ice floats, it forms a lid on the surface and insulates the water below from the cold air. If ice sank instead, ponds would fill with it from the bottom and freeze solid, and little could survive the winter.

Sink

HintIn most solids the particles are packed more tightly than in the liquid.

WhySolid wax drops to the bottom of molten wax, and solid iron to the bottom of molten iron, because the solid is the denser form. Water behaves the other way round, which is why its freezing is called an anomaly.