
What happens to density if the mass increases at constant volume?
Answer
473.1k+ views
Hint: We know that a substance's density is defined as its mass per unit volume. In numerical terms, the density of a substance which is pure is equal to the concentration of its mass. Varied materials have different densities, which can affect things like buoyancy, purity, and packaging. It is occasionally substituted with the dimensionless quantity "relative density" or "specific gravity" to ease density comparisons across different systems of units.
Complete answer:
We know that density is given by mass divided by volume.
\[density(\rho ) = \dfrac{{m(mass)}}{{volume(V)}}\]
According to this formula, the density is directly proportional to the mass when the volume is constant and inversely proportional to the volume when mass is constant.
The condition in the question states that the volume is constant and the mass increases. We know, from above, that when the volume is constant, the density is directly proportional to the mass, this means that at constant volume, the density will increase as mass increases.
Thus, at constant volume, the mass of a substance increases when the density increases.
An increase in mass combined with an increase in volume, on the other hand, can result in no increase in density, which is referred to as an intense feature.
Density, for example, is an intensive property that is independent of the amount of substance present (whereas mass and volume are both extensive).
Note:
It can be noted that temperature and pressure affect the density of a substance. For solids and liquids, this variance is often minimal, but for gases, it is significantly bigger. When more pressure is applied on an object, it shrinks in volume and so becomes denser. With a few exceptions, increasing the temperature of a substance decreases its density by increasing its volume. Heating the bottom of a fluid causes heat to convert from the bottom to the top in most materials.
Complete answer:
We know that density is given by mass divided by volume.
\[density(\rho ) = \dfrac{{m(mass)}}{{volume(V)}}\]
According to this formula, the density is directly proportional to the mass when the volume is constant and inversely proportional to the volume when mass is constant.
The condition in the question states that the volume is constant and the mass increases. We know, from above, that when the volume is constant, the density is directly proportional to the mass, this means that at constant volume, the density will increase as mass increases.
Thus, at constant volume, the mass of a substance increases when the density increases.
An increase in mass combined with an increase in volume, on the other hand, can result in no increase in density, which is referred to as an intense feature.
Density, for example, is an intensive property that is independent of the amount of substance present (whereas mass and volume are both extensive).
Note:
It can be noted that temperature and pressure affect the density of a substance. For solids and liquids, this variance is often minimal, but for gases, it is significantly bigger. When more pressure is applied on an object, it shrinks in volume and so becomes denser. With a few exceptions, increasing the temperature of a substance decreases its density by increasing its volume. Heating the bottom of a fluid causes heat to convert from the bottom to the top in most materials.
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