• Pixel-art sticker of Boyler, personifying Boyle's Law, with the caption “Squeeze Me, I Push Back.”

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Boyler

Boyle's Law Physics

\[p_1 V_1 = p_2 V_2\]
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Meet Boyler, a syringe of gas who pushes back harder the more you squeeze. Boyle's law keeps pressure times volume constant at fixed temperature, so squeezing 60 mL at 100 kPa down to 20 mL triples the pressure to 300 kPa. Divers rely on it. Pixel-art kiss-cut sticker in 2, 3, 4 and 6 inches; equation, symbols and sources in the physics panel below.

Size
Surface

Flat $6 shipping worldwideMade to order, ships in 2–5 business days

Details

Size3″ × 3″

3″ × 3″ kiss-cut sticker.

Shipping

Flat $6 shipping on every order, worldwide, whatever's in it.

Delivery times & where we ship

Returns & replacements21 days

Every item is printed to order, so we can’t accept returns or exchanges for change of mind, or if you ordered the wrong size or colour.

Print defect, misprint, damage or the wrong item? We’ll send a free replacement, or a refund if you prefer. Report it within 21 days of delivery with a photo; no need to send it back.

Full refund & replacement policy

The physics

Meet Boyler, a syringe full of gas who pushes back harder the more you squeeze him.

Gas pressure comes from countless molecules hitting the walls of their container. Squash the gas into a smaller space and each molecule hits the walls more often, so the pressure rises. If the temperature stays the same, the molecules keep the same average speed, and only the crowding changes.

Boyle's law says p₁V₁ = p₂V₂ for a fixed amount of gas at constant temperature. Seal 60 mL of air at 100 kPa in a syringe and push the plunger in to 20 mL. The volume is a third, so the pressure triples to 300 kPa.

Pull the plunger out to 120 mL and the pressure halves to 50 kPa. Squeezing quickly warms the gas a little, so the law holds best when you push slowly.

Robert Boyle published this result in 1662. Divers rely on it, because the air in their lungs shrinks and expands as the water pressure changes.

Equations

\[p_1 V_1 = p_2 V_2\]
Symbols
SymbolMeaningUnit
\(p_1\) starting pressure \(\mathrm{Pa}\)
\(V_1\) starting volume \(\mathrm{m³}\)
\(p_2\) final pressure \(\mathrm{Pa}\)
\(V_2\) final volume \(\mathrm{m³}\)