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Sea-Level Rise: Ice Melt and Thermal Expansion

Sea level is rising for two main reasons: warm water expands (thermal expansion), and ice on land melts and runs into the sea. Floating sea ice does not raise the sea when it melts. The sea is now rising about 4 mm a year, and low coasts and islands are most at risk.

🎬 Step-by-step story

  1. This is a coast. The red line marks the starting sea level. Floating ice is in the water and land ice sits on the shore.
  2. Cause 1: the sea warms. Warm water takes more room, so the particles spread out and the level climbs. This is thermal expansion.
  3. Cause 2: the ice on land melts and runs into the sea. New water is added, so the level climbs.
  4. Now the floating ice melts. The level stays exactly where it was. The ice was already pushing aside its own weight of water.
  5. Both causes together raise the sea a lot. The water spills over the shore and the house floods.
  6. Free play: move the warming and land-ice sliders. You can melt the floating ice too.

Tip: drag the 3D scene to turn it. Use two fingers to zoom.

🤔 Common doubts, cleared

Why is the starting level marked with a red line?

So we can measure how far the sea has risen. In the real world scientists compare to a long-term average level.

Does water really get bigger when warm?

Yes, a little. Each particle moves more, so they spread. Watch the particles move apart and turn from blue to orange.

How can melting ice add water if the sea is huge?

The ice on land is also huge. Tonnes of it change the whole ocean by millimetres every year.

Why does the floating ice not change the level?

It already pushes aside its own weight of water. When it melts, the meltwater exactly fills that space.

Why did the house flood only at the end?

It needs both causes together to climb above the land. Step 4 shows the sum of warming and land ice melt.

Is the 3D drawn to real size?

No. The rise is scaled up so you can see it. In real life the rise is a few millimetres a year.

Cause 1: thermal expansion

Almost every liquid grows a little bigger when it is heated, because its particles move faster and spread out. The sea is no different. The oceans have taken in about 90% of the extra heat trapped by greenhouse gases, so the water is expanding.

A simple estimate: rise = layer depth × expansion factor × temperature rise. For sea water the factor is about 0.0002 per °C. So a 1000 m layer that warms by 1 °C rises about 1000 × 0.0002 × 1 = 0.2 m.

Cause 2: ice that melts on land

Ice sheets (Greenland, Antarctica) and mountain glaciers rest on land. When they melt, the water runs to the sea and adds to it. About 360 billion tonnes (360 Gt) of melted ice raises the whole ocean by about 1 mm. If all of Greenland melted, the sea would rise about 7 m; all of Antarctica, about 58 m. That would take hundreds of years or more, but even small melts matter for coasts.

Why floating ice does not matter

Sea ice and ice shelves already float. A floating object pushes aside water equal to its own weight (Archimedes). When the ice melts, the water it makes takes exactly the space it was pushing aside. So the level stays the same. This is like an ice cube melting in a glass.

But floating ice still matters for warming: it is white, so it reflects sunlight (the ice-albedo feedback).

Effects and responses

Higher seas bring more flooding at high tide, stronger storm surges, salty water in rivers, wells and soil, and loss of beaches, mangroves and low islands. Rise is not even everywhere; land that sinks (for example from pumping groundwater) feels it more.

People respond in two ways: reduce the cause (cut greenhouse gases) and adapt (sea walls, mangrove belts, raised homes, early warning, planned moves).

Try it: ice cube in a glass

Fill a glass to the brim, add an ice cube, and mark the water level. Wait until it melts and check the level. Next, put a few ice cubes on a plate tilted over the glass (land ice) and let them melt into it. Which one raises the level? Compare with the 3D steps 2 and 3.

Key formulas and definitions

Worked examples

1. A 1000 m deep layer of sea warms by 1 °C. The expansion factor is 0.0002 per °C. Find the rise.

Rise = 1000 × 0.0002 × 1 = 0.2 m = 20 cm.

2. Melting land ice adds 1080 Gt of water. About 360 Gt raises the sea by 1 mm. How much is the rise?

1080 ÷ 360 = 3 mm.

3. The sea rises 4 mm each year. How much does it rise in 25 years?

4 × 25 = 100 mm = 10 cm.

4. A beach step is 30 cm high. At 4 mm a year, in how many years will the sea reach its top (ignoring storms)?

30 cm = 300 mm. 300 ÷ 4 = 75 years.

Common mistakes

Practice quiz

1. Which is a cause of sea-level rise?
2. When floating sea ice melts, sea level:
3. Which ice adds new water to the sea when it melts?
4. Thermal expansion means:
5. About how fast is the sea rising now?

Practice: answer these yourself

Type or choose your answer, then press Check. Use a hint if you are stuck; the full solution appears after you answer.

Frequently asked questions

Does melting Arctic sea ice raise the sea?

Not by itself, because it already floats. But it hurts by reflecting less sunlight, which speeds warming.

Why does warm water take more room?

Its particles move faster and push slightly further apart, so the same amount of water fills a bigger volume.

Which coasts are most at risk?

Low flat coasts, river deltas and small islands, such as the Sundarbans, Bangladesh, the Maldives and many cities near sea level.

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