Guide to Gay-Lussac's Law of Ideal Gases

Overview

Temperature, volume, and pressure are three variables that can be used to study gases. Volume is maintained constant while studying Gay Lussac’s law, the temperature is kept constant in Boyle’s law, and pressure is kept constant in Charles’s law. The relationship between temperature and pressure of a gas in a fixed volume is defined by Gay Lussac’s law.

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Gay-Lussac's Law of Gas Volume

This gas law is important because it states that as the temperature of a gas increases, the pressure increases proportionally. Well P∝T That is, P/T=k where P is the pressure exerted by the gas. Let T be the absolute temperature of the gas. k is considered a constant. The following fig shows the relationship between pressure & absolute temperature for a given mass of gas.

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Ideal Gas Equation

We Have, P∝T Then, P=kT…(1) PV=nRT…(2) While keeping the value of P from equation (1) to (2) – kTV=nRT k=nR/V k∝1V…(3), which means when volume increases, k will decrease.

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