Question

Relative density of gold is \[19.3.\] What is its density in SI system?

Answer 1

Hint:We know that the relative density is also defined as the ratio of density of the substance to the density of water which is reference material. Use this formula to find relative density. Substitute the given values in the formula and calculate the density of gold.

Complete step by step answer:
As we know that the relative density is the ratio of the same quantities. Hence, relative density has no unit. The density of water changes with the change in temperature. Thus, temperature is dependent on temperature. The density of a substance is the ratio of mass contained in the substance to the volume of the substance.

In general, the known material if not specified is taken to be water. The density of the substance relates its mass and volume. The relative density relates the density of the substance with the density of water. Relative density of any liquid is less than one because the density of water is greater than any liquid. The relative density is unit less quantity.

The relative density of solids can be greater than one. The relative density is given by ratio of density of substance by density of water.
\[\text{Relative Density}=\dfrac{\text{Density of Substance}}{\text{Density of Water}}\]
Here we have relative density of gold $19.3$ and as we know that density of water $1000kg/{{m}^{3}}$.
Thus, the Density of Gold $=$ Density of Water $\times $ Relative Density.
On substitution we get; density of Gold $=1000\times 19.3=19300\,kg/{{m}^{3}}$

Note: Remember that don’t get confused between the term’s relative density and density of a substance. Relative density is also called the specific density of the material. Also, Osmium and Iridium are the elements with highest relative density. So, if instead of relative density, specific density is mentioned, don’t get confused.