Gavin Howe
The combined gas law is derived from Boyle's Law, Charles' Law, and Gay-Lussac's Law. Unlike the individual gas laws, the combined gas law does not have an official discoverer. It combines the three gas laws to explain the mechanics of pressure, temperature, and volume when everything except these three variables is held constant. The combined gas law is used in practical applications such as air conditioners, refrigerators, and the formation of clouds, as well as in fluid mechanics and thermodynamics.
| Characteristics | Values |
|---|---|
| What is the law about? | The relationship between pressure, volume, and temperature for a fixed mass of gas |
| What is the formula for the law? | P1V1/T1 = P2V2/T2 |
| What is the law a combination of? | Boyle's Law, Charles' Law, and Gay-Lussac's Law |
| Who formulated the individual laws? | Robert Boyle, Jacques Charles, and Joseph Louis Gay-Lussac |
| What are the individual laws about? | The relationship between volume and pressure at a constant temperature; the relationship between volume and temperature at constant pressure; and the relationship between pressure and temperature at constant volume |
| Can the combined gas law be further extended? | Yes, by adding Avogadro's Law to the combined gas law, we get the ideal gas law |
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What You'll Learn
Robert Boyle's Law
The Combined Gas Law is a combination of three different laws pertaining to the pressure, volume, and temperature of a gas. These three laws are:
- Charles' Law
- Boyle's Law
- Gay-Lussac's Law
Boyle's Law, also known as Robert Boyle's Law, was formulated by the physicist Robert Boyle in 1662. It states that the pressure (p) and volume (v) of a given quantity of gas at a constant temperature are inversely proportional to each other. In other words, as the volume of a gas increases, its pressure decreases, and vice versa, assuming the temperature remains constant.
The law is based on experiments conducted by Boyle with air, which he considered to be a fluid of particles at rest between small invisible springs. Boyle's experiments built upon the work of Richard Towneley and Henry Power, who first noted the relationship between pressure and volume in the 17th century.
Boyle's Law can be expressed mathematically as:
P1V1 = P2V2
Where P1 and V1 represent the initial pressure and volume, respectively, and P2 and V2 represent the final pressure and volume after a change has occurred. This equation demonstrates that the product of pressure and volume remains constant for a fixed mass of an ideal gas at a fixed temperature.
Boyle's Law is often used to explain how the breathing system works in the human body, particularly how changes in lung volume cause variations in air pressure within the lungs. It also has applications in fluid mechanics and thermodynamics, such as in air conditioners and refrigerators.
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Jacques Charles' Law
The Combined Gas Law is derived from Boyle's Law, Charles' Law, and Gay-Lussac's Law. Charles' Law, also known as the Law of Volumes, was founded in 1787 by French physicist Jacques Charles (1746-1823).
Charles' Law states that the volume of a given mass of gas is directly proportional to its absolute temperature when pressure is kept constant. This empirical relation was first suggested by Charles around 1787 and was later placed on a sound empirical footing by the chemist Joseph-Louis Gay-Lussac.
The French physicist Jacques Charles studied the effect of temperature on the volume of a gas at a constant pressure. Charles' work with hot-air balloons led him to notice that the volume of a gas is directly proportional to its temperature. This relationship between the temperature and volume of a gas became known as Charles' Law.
Charles' Law can be used to compare changing conditions for a gas. The mathematical relationship of Charles' Law can be represented as:
> V1/T1 = V2/T2
Where V1 and T1 stand for the initial volume and temperature of a gas, and V2 and T2 stand for the final volume and temperature. This equation can be used to calculate any one of the four quantities if the other three are known. It is important to note that the temperatures must be expressed in Kelvin for the direct relationship to hold.
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Joseph Louis Gay-Lussac's Law
Joseph Louis Gay-Lussac was a French chemist and physicist born on December 6, 1778, in Saint-Léonard-de-Noblat, France. He came from a family of lawyers and prosecutors, and his father, Anthony Gay, was a lawyer, judge, and royal official. Gay-Lussac received his early education at the Catholic Abbey of Bourdeix and later moved to Paris, where he attended the École Polytechnique. He then transferred to the École des Ponts et Chaussées and became the assistant to chemist Claude-Louis Berthollet.
Gay-Lussac is known for his work in various fields, including the discovery of the composition of water and his laws related to gases. He is particularly remembered for Gay-Lussac's Law, which is a fundamental concept in the field of gases. This law is part of the Combined Gas Law, which combines Boyle's Law, Charles' Law, and Gay-Lussac's Law. It explains the relationship between pressure, volume, and temperature for a fixed mass of gas.
Gay-Lussac's Law, also known as the Law of Combining Volumes, was announced by Gay-Lussac in 1808 and published in 1809. It states that when gases chemically react together, they do so in amounts by volume, bearing small whole-number ratios. This means that the volumes of the reactant gases and the resulting gaseous products can be expressed as simple whole numbers. For example, Gay-Lussac found that two volumes of hydrogen react with one volume of oxygen to form two volumes of water vapour. This law is based on the principle that at the same temperature and pressure, equal volumes of gases contain equal numbers of molecules, as hypothesized by Amedeo Avogadro in 1811.
Gay-Lussac also contributed to the understanding of the relationship between volume and temperature. He published his findings in 1802, attributing his work to Jacques Charles, as it was based on Charles' unpublished data from the 1780s. Consequently, this volume-temperature proportionality is usually referred to as Charles' Law or the Law of Charles and Gay-Lussac. Gay-Lussac's work on the relationship between volume and temperature led to the development of the ideal gas law, which combines his law with Avogadro's Law.
Gay-Lussac's pioneering investigations into the behaviour of gases and his establishment of new analytical techniques have made him a notable figure in the field of chemistry. His work has had practical applications, such as in the development of the Gay-Lussac degrees for measuring alcoholic beverages. Additionally, his collaboration with Alexander von Humboldt led to the discovery that the composition of the atmosphere remains constant despite changes in pressure or altitude.
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Amedeo Avogadro's Law
Amedeo Avogadro, an Italian scientist born in 1776, is credited with proposing a law that relates the volume of a gas to the amount of substance of gas present. Known as Avogadro's law, this principle in chemistry states that equal volumes of different gases, when measured at the same temperature and pressure, contain an equal number of molecules.
Avogadro's law was first proposed in 1811, but it was not generally accepted until after 1858, when Italian chemist Stanislao Cannizzaro constructed a logical system of chemistry based on it. Avogadro's initial hypothesis was largely overlooked during his lifetime due to a lack of understanding of atoms and molecules at the time, as well as a lack of empirical support.
Avogadro distinguished between atoms and molecules, resolving conflicts between the ideas of contemporaries like Joseph-Louis Gay-Lussac, who studied gas combination ratios, and John Dalton, who viewed atoms as indivisible. Avogadro's hypothesis stated that gases are composed of molecules, and these molecules are composed of atoms. This was a breakthrough observation, but it initially earned little recognition from Europe's elite scientific community due to Avogadro's obscurity and some irregularities in his work.
In 1860, four years after Avogadro's death, Cannizzaro rediscovered Avogadro's work and recognised its significance. Cannizzaro presented and strongly defended Avogadro's hypothesis to the scientific community, and with his help, Avogadro's work finally gained acceptance. Avogadro's law marked a pivotal moment in the evolution of chemical science, ending decades of misinformation about atoms and molecules.
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No official discoverer
The Combined Gas Law is a combination of Boyle's Law, Charles' Law, and Gay-Lussac's Law. It states the relationship between the pressure, volume, and temperature for a fixed mass of gas. The law shows that as pressure increases, temperature increases and volume decreases, and that as volume increases, temperature increases.
Boyle's Law, published in 1662, states that the product of the pressure and volume of a given mass of an ideal gas in a closed system is always constant. It was discovered by Robert Boyle, who systematically studied the relationship between the volume and pressure of a fixed amount of gas at a constant temperature.
Charles' Law, or the law of volumes, was founded in 1787 by Jacques Charles. It states that, for a given mass of an ideal gas at constant pressure, the volume is directly proportional to its absolute temperature, assuming a closed system.
Gay-Lussac's Law, formulated by Joseph Louis Gay-Lussac (1778–1850), relates to gaseous reactions and the volume ratios of reactant and product gases.
While these three laws have named discoverers, the Combined Gas Law does not have an official discoverer. It is simply the combination of these three gas laws, which work when everything except temperature, pressure, and volume is held constant.
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