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Chemistry · Ch 10 — States of Matter

Gay-Lussac's Law

10.4.3

Gay-Lussac's Law

Gay-Lussac's law relates the pressure and absolute temperature of a fixed mass of gas held at constant volume: at constant volume, the pressure (PP) of a fixed amount of gas is directly proportional to its absolute temperature (TT), i.e. P∝TP \propto T, so P=k3TP = k_3T, or PT=\frac{P}{T} = constant (at constant VV and nn). Plotting pressure (in atm) against temperature (in kelvin) at fixed volume gives a straight line called an isochore. This law explains, for example, why the air pressure inside a closed automobile tyre (essentially fixed volume) rises in hot summer weather an …

Figure Fig 10.11Fig. 10.11: Pressure vs temperature graph of a gas (isochore)

What this figure shows. A graph with pressure P (in atm) on the y-axis and absolute temperature T (in kelvin) on the x-axis, at a fixed, constant volume, showing a single straight line passing through (or extrapolating to) the origin -- called an isochore -- illustrating that pressure rises in direct, linear proportion to absolute temperature when the gas's volume is held fixed, consistent with Gay-Lussac's law. …