Difference Between Density and Volume for JEE Main 2024

Density vs Volume

If we compare any two quantities, let’s say smog and emulsion; a smog is something like a low-liquid cloud formed of air pollutants, and emulsions are formed of two immiscible liquids viz: milk, hair cream. However, these two have differences in terms of density vs volume and let’s discuss how.

See here smog can spread very easily, and that’s why it has a greater volume, but the density is less, while emulsion takes lesser volume as compared to smog; however, its density is greater. 

Difference Between Volume and Density

A volume is something that a solid, liquid, or gas occupies. 

We define volume as the three-dimensional space enclosed by a  surface. For example, a space that a substance or shape occupies or contains is the volume.

We numerically quantify a volume by using the SI derived unit, i.e., the cubic meter.

If we compare the two quantities such as butter (a mixture of liquid and solid also called  Gel) and a whipping cream that we apply over the cake, then in the solid-state they both seem to remain stuck in one place while heating these, butter spreads quicker than the cream. 

On using the parameter of thermodynamics is temperature. On raising the temperature, butter has more volume than whipping cream. On the other hand, there is one parameter to distinguish between any two quantities, and it is density. So, let’s understand this term. 

Difference Between Density and Volume

If we say there are two bowls, in which one contains dust particles and another comprises yellow paint. 

Now, let’s take a weighing machine and measure their weights, what do we observe?

Well! Paint would be heavier than dust particles because dust particles would occupy around the container they are kept, while paint would contain the shape it is placed in and also remain stuck in one place.

So, what do we infer from the above statement?

See here the paint is denser than dust particles and that’s why we can say that density is the ability of a compound sticking at one place or something like solidness in itself.

Now, considering examples of comparison of the following quantities:

• Butter VS Whipping cream

• Dust particles VS Wall paint

Whipping cream and the wall paint has more density but less volume; however, on the other hand, butter and dust particles occupy a large volume but less density.

There is one more difference that comes between two physical quantities and that is mass volume and density, so let’s understand what is the difference between density and mass volume in terms of mathematics.

What is the Difference Between Mass Volume and Density?  

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From the above context, we clearly understand the inverse relationship of volume with the density; however, Physics relies more on mathematics and for this relationship also we have an equation and that is given by:

ρ = \[\frac{m}{V}\]

Here, 

ρ = Density and it is measured in Kgm\[^{-3}\]

m = Mass and it is measured in Kg

V = Volume and it is measured in m\[^{3}\]

We can see that the volume of any quantity varies inversely with its density that we discussed in the above examples. 

There is one more thing and that is mass. So in the comparing example of butter and whipping cream, if we compare their masses by placing on a weighing scale, we observe that whipping cream measures more than the butter but spreads lesser than butter.

So, comparing on the basis of mass, volume, and density:

So, from the above table, we can easily find one more relation that a quantity bearing higher density also carries a larger mass but lesser volume. 

Here, density varies directly with the mass of the quantity but varies inversely with its volume.

Difference Between Mass and Volume

• Mass of a quantity does not depend on the state of matter viz: solid, liquid, gas, plasma,  or a Bose-Einstein Condensate (the fifth state of matter) but volume may change accordingly. 

• We can convert mass into energy; however, it becomes an impossible task for us to do for the volume.

• According to the theory of relativity, mass rises with velocity wherein the volume decreases.

• Mass can convert into another form while undergoing a chemical reaction, which is the law of conservation of mass in Chemistry; however, it is an impossible thing to do with volume.

• In mechanics, mass is a fundamental property that has a dimension of [M], while volume is a derived physical quantity and its dimension is also derived from some other quantity and that is the length. So, its dimension is [L\[^{3}\]].