Question

Cork has a relative density of 0.25. What is the volume in cubic centimeters of 50g of cork ? Take the density to be $1000\text{ kg}{{\text{m}}^{-3}}$ .

Answer 1

Hint: Cork is an impermeable buoyant material made from the phellem layer of bark tissue extracted principally from Quercus suber (cork oak) endemic to southwest Europe and northwest Africa for commercial usage. Suberin, a hydrophobic chemical, is found in cork. It's employed in a number of items because of its impermeable, buoyant, elastic, and fire retardant qualities, the most frequent of which being wine stoppers.

Complete answer:
The ratio of a substance's density (mass per unit volume) to the density of a specified reference material is known as relative density. For liquids, specific gravity is almost commonly calculated in relation to the densest water (at \[4\text{ }{}^\circ C\]); for gases, the reference is air at room temperature (\[20\text{ }{}^\circ C\]). If the relative density of a material is less than one, it is less dense than the reference; if it is more than one, it is denser. The densities are identical if the relative density is precisely 1; that is, equal volumes of the two substances have the same mass. A substance having a relative density less than 1 will float in water if the reference material is water.
$\rho =\dfrac{m}{v}$
Density is calculated by dividing mass by volume: where $\rho $ is the density, m is the mass, and V is the volume. In certain situations (for example, in the oil and gas sector in the United States), density is informally described as its weight per unit volume, which is technically incorrect; this quantity is more precisely known as specific weight.
Hence volume = $\dfrac{Mass}{Density}$
Substituting the value
Mass = 50 g = $50\times {{10}^{-3}}=0.05Kg$
Relative density = $0.25\times 100=250kg{{m}^{-3}}$
\[Volume=\dfrac{0.05kg}{250kg{{m}^{-3}}}=2\times {{10}^{4}}{{m}^{3}}\]
Hence volume is \[2\times {{10}^{4}}{{m}^{3}}\]

Note:
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.