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# The relation between density and pressure is given by:A.Boyle’s lawB.Charles's lawC.Gay-Lussac’s lawD.Avogadro’s law

Last updated date: 07th Sep 2024
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Hint: We need to know that the Deductions and derived based observations are stated as laws of chemistry, by nature, it is based on repeated experiments and/or observations.
Density symbol is $\rho$ , is a physical property, it measures how much matter occupies a given amount of space. Density quantified the ratio of an object, mass (m) its volume (V).
Density $(\rho ) = \dfrac{m}{V}$
Pressure is measured in pascals $(pa)$ , pressure is defined as the force per unit area. The force is measured in newton $(N)$ and the area is measured in square meters $({m^2})$ .

If the pressure is changed then it will reflect in density and vice-versa.
Boyle’s law is an important law which states that the pressure of a given mass of an ideal gas (theoretical gas composed of many randomly moving point particles that are not subject to interparticle interactions. It obeys ideal gas law $PV = nRT$ ) is inversely proportional to its volume of a constant temperature.
$P \propto \dfrac{1}{V}$ , we know that the density is given by mass by volume, so,
Mathematically it is represented as,
$\rho \propto \dfrac{m}{V}$ , the density decreases as the volume is increased.
From the above two equations, $\rho \propto P$ , pressure is directly proportional density.
Charle’s law proposed by Jacques Charles in $1780's$ , which states that the volume of a gas is directly proportional to the absolute temperature, at constant pressure. Therefore, this option is incorrect.
Gay-Lusac’s law states that the ratio of the initial pressure and temperature is equal to the ration of the final pressure and also a temperature, for a gas of a fixed mass kept at constant volume. Therefore, this option is incorrect.
Avogadro’s law states that equal volumes of different volumes of different gases contain an equal number of molecules, under the same condition of pressure and temperature. Therefore, this option is incorrect.
From the above information, the relation between density and pressure is given by Boyle’s law.
So, the correct option is A. Boyle’s law.

Note:
Boyle’s law was proposed by Robert Boyle, an Anglo-Irish physicist, chemist and inventor. When filling the bike tires with air, we observe the real-life application of Bayles’s law, we pump the air to a tire, the gas molecules are compressed and go inside the tire and packed very close together. We also remember that according to the ideal gas equation, the pressure is directly proportional to moles of substance and temperature whereas inversely proportional to volume of the system.