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Boyle's law, Meaning (SPM Physics)

For a fixed mass of gas at constant temperature, the pressure is inversely proportional to its volume (pressure × volume = constant).

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EnglishBoyle's law
Bahasa MelayuHukum Boyle
中文玻意耳定律

Definition

For a fixed mass of gas at constant temperature, the pressure is inversely proportional to its volume (pressure × volume = constant).

Heat

In exam terms

Boyle's law states that for a fixed mass of gas at constant temperature, the pressure is inversely proportional to its volume. In symbols, pV = constant, or p₁V₁ = p₂V₂, where p is pressure in pascals (Pa) and V is volume in m³.

Microscopically, reducing the volume packs the gas particles closer, so they hit the walls more often each second, raising the pressure. Worked line: p₁V₁ = p₂V₂ → (100 kPa)(2.0 m³) = p₂(1.0 m³), so p₂ = 200 kPa.

Example of correct use: by Boyle's law, halving the volume of a trapped gas at constant temperature doubles its pressure.

Do not confuse it with…

Do not confuse Boyle's law with the pressure law. Boyle's law keeps the temperature constant and relates pressure to volume (an inverse relationship), while the pressure law keeps the volume constant and relates pressure to absolute temperature (a direct relationship).

Boyle's law does not use the Kelvin scale because temperature is fixed.

In Paper 2 this is usually asked as state Boyle's law, a calculation with p₁V₁ = p₂V₂, or a graph question. A graph of p against V is a curve, but a graph of p against 1/V is a straight line through the origin, which is the usual proof asked for.

Source: DSKP KSSM Physics Form 4 and 5 (Versi English) (Bahagian Pembangunan Kurikulum (BPK), KPM)

Frequently asked questions

What must be kept constant for Boyle's law?
The temperature of the gas and the mass (amount) of gas must both stay constant. Only then is pressure inversely proportional to volume.
What is the shape of the pressure–volume graph?
It is a smooth curve (a hyperbola) that falls steeply then levels off. A graph of pressure against 1/V is a straight line through the origin.
How is Boyle's law explained by particles?
In a smaller volume the same number of particles hit the container walls more frequently per second, so the average force per unit area, the pressure, increases.

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