Question

The density of iron is 7800$kg{\text{ }}{{\text{m}}^{ - 3}}$. What do you understand by this statement?

Answer 1

Hint: Temperature and pressure affect the density of a substance. For solids and liquids, this variance is generally minor, but for gases, it is significantly higher. When you apply more pressure on an object, it shrinks in volume and so becomes denser. With a few exceptions, increasing the temperature of a material reduces its density by increasing its volume. Heating the bottom of a fluid causes heat to convect from the bottom to the top in most materials due to a reduction in the density of the heated fluid. As a result, it rises in comparison to more dense unheated material.

Complete step by step solution:
The density of a material is its mass per unit volume (more specifically, its volumetric mass density; also known as specific mass). Although the Latin letter D can also be used, the sign for density is $\rho $(the lowercase Greek letter rho). Density is defined as mass divided by volume in mathematics.
\[\rho = \dfrac{m}{V}\]
The density of iron is 7800$kg{\text{ }}{{\text{m}}^{ - 3}}$. The statement indicates that\[1{\text{ }}{m^3}\] of iron weighs 7800 kg.
The density of a pure material is equal to its mass concentration in numerical terms. Varying materials have different densities, which can affect things like buoyancy, purity, and packaging. At normal temperature and pressure, osmium and iridium are the densest known elements. The dimensionless number "relative density" or "specific gravity," i.e. the ratio of the substance's density to that of a reference material, generally water, is frequently used to ease density comparisons across different systems of units. As a result, if the relative density of a material is less than one, it floats in water.

Note: The reciprocal of a substance's density is frequently referred to as its specific volume, a phrase used in thermodynamics. Density is an intensive characteristic, meaning that increasing the amount of a material increases its mass rather than its density.