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JEE Main 2026 Preparation: Question Papers, Solutions, Mock Tests & Strategy Unacademy » JEE Study Material » Physics » Density and volume

Density and volume

In this article we will learn about Density, Formula of Density, SI Unit of Density, Applications of Density, Example of Density, Volume, Example of Volume, SI unit of Volume, Volume of a Solid, Volume and Thermodynamics and Density vs Volume.

Table of Content
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Density

A material’s density is defined as the density of that material in a given area. The material’s density relates to its mass per unit volume. It’s a measurement of how closely matter particles are packed together in general. The density principle was proposed by Archimedes. The density of various materials varies.

Formula of Density

The formula for calculating an object’s density is:

ρ = m/v

Here,

ρ = Density of an object

m = Mass

v = Volume

Solids are denser than liquids and gases because their particles are closely packed with very little space between them. Because the particles in liquids are not firmly packed, they are less dense than solids, but they are denser than gases, which contain free-flowing particles.

SI Unit of Density

Every substance has a different density. The density of water, 1 gram per cubic centimetre, is widely used as a benchmark for estimating the density of various substances. Kilograms per cubic metre (kg/m3) is the SI unit used to measure density.

Although the SI unit of density is kg/m3, we choose to use g/cm3, g/ml, and g/L for solids, liquids, and gases.

Applications of Density

Let’s suppose you have two balloons, one filled with air and the other with coke. Because its atoms move around less and take up less space, Coke is significantly denser. In an air balloon, on the other hand, the atoms collide very quickly and hence take up more space or have a lower density. As a result, the air-filled balloon is light, while the coke-filled balloon is heavy. Density can also be used in the following ways:

  1. Life Tubes: In general, density is significant in a variety of applications. Life tubes are one such application. Life tubes are meant to float in water and protect individuals from drowning while swimming and can be found in swimming pools or on beaches. Because life tubes are filled with air rather than water, they float.

  2. Ships: Ships are another example of a real-world application of density. Ships are designed with ballast tanks to hold air, allowing them to float in water. These tanks provide a huge volume for a small bulk, lowering the ship’s density. When the lower density of the ship is paired with the buoyant force, the ship is able to float on water.

Example of Density

  • Dense materials include lead, iron, and platinum. High-density materials are more difficult to work with and are more “likely” to feel heavy.

  • Sparse materials, such as aluminium, glass, and bamboo, are the polar opposites of dense materials.

Solids have a higher density than liquids, while liquids have a higher density than gases. The particles in solids are closely packed, which explains this. The particles in liquids are loose and can slide across each other, whereas the particles in gases are loose and free to move around.

Volume

Volume is a fundamental physical quantity in physics. The 3-dimensional extent of a body or thing is indicated by volume, which is an acquired quantity. The unit is most commonly used to specify the volume of items or liquids.

Example of Volume 

A matter’s space can be solid, liquid, gas, plasma, or some other space-immersing shape. The capacity of a vessel (container) is considered to be the amount of liquid (fluid), gas, or liquid (fluid) that the vessel can hold, rather than the amount of space that the vessel itself displaces, such as buoyant force in water.

SI unit Volume

The capacity is measured by volume. As a result, the SI unit of volume is a measurement unit for the capacity or amount of an object, body, or space. The metric unit m3 is most commonly used to express the volume of stuff or fluids (liquid).

Volume of a Solid

Fluid displacement can be used to determine the volume of a solid, whether it is regular or irregularly shaped.

When calculating the volume of a gas, the displacement of a liquid is employed. The volume of two substances combined is always bigger than the volume of one material alone (liquid or gas). However, sometimes one material dissolves in the other, and the combined Volume is not additive in these circumstances.

Volume and Thermodynamics

The extensive variables to express the state’s thermodynamic state are the volume of a system.

The specific volume is a very important property. 

Density vs Volume

Density

Volume

The amount of matter in an object is measured.

Measures how much space an object takes up in three dimensions.

Kilograms per cubic metre are the units of measurement.

Measured in cubic meters

A three-dimensional object’s density is made up of two parts: mass and volume.

A shape’s volume is determined by three factors: length, width, and height.

Density is an Intensive property.

Volume is an Extensive property.

Conclusion

At a particular temperature and pressure, the volume of a substance is proportional to the amount of the substance present. Volumetric glassware, such as the volumetric flask and graduated cylinder, can be used to measure the volume of a substance.

At a particular temperature and pressure, a substance’s density indicates how much of it fills a certain volume. The density of a substance can be used to define it. Water is unique in that when it freezes, its solid form (ice) is less dense than liquid water and hence floats on top of it.

faq

Frequently asked questions

Get answers to the most common queries related to the IIT JEE Examination Preparation.

How do you think temperature and pressure affect the density of an object?

Ans. The volume and density of an object can be altered by air pressure or pressure from a container. Solids and liq...Read full

When temperature increases the density of the fluid?

Ans. When the temperature of a liquid rises, it expands in general. At 100 degrees Celsius, for example, the same q...Read full

What is the relationship between volume and density?

Ans. The mass of a body can be calculated from its volume or vice versa using density; the mass is equal to the volu...Read full

What happens to density and volume when temperature increases?

Ans. When temperatures rise, items expand and grow larger, resulting in a reduction in density. As temperatures dro...Read full

Does density depend on gravity?

Ans. Pressure affects volume, therefore if a mass is compressed to a smaller volume, the density increases because ...Read full

Ans. The volume and density of an object can be altered by air pressure or pressure from a container. Solids and liquids have a fixed volume at a given temperature and atmospheric pressure. When you apply more pressure to a material, you can usually reduce its volume and hence increase its density.

Ans. When the temperature of a liquid rises, it expands in general. At 100 degrees Celsius, for example, the same quantity of boiling water takes up greater volume than at 20 degrees Celsius. As a result, as the temperature rises, the density falls.

Ans. The mass of a body can be calculated from its volume or vice versa using density; the mass is equal to the volume multiplied by the density (M = Vd), while the volume is equal to the mass divided by the density (V = M/d).

Ans. When temperatures rise, items expand and grow larger, resulting in a reduction in density. As temperatures drop, items condense and shrink, resulting in a rise in density.

Ans. Pressure affects volume, therefore if a mass is compressed to a smaller volume, the density increases because the density equation’s denominator shrinks. Gravity is a compressive force, hence the answer to your initial question is YES, density is affected by gravity.

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