Question

The densities of silver, gold, and water are respectively 10.5 ? 103 kg/m3, 19.3 ? 103 kg/m3, and 1.0 ?103 kg/m3.
What is the relative density of silver with respect to that of gold?

Answer 1

Dear student,
$$\begin{gathered} Densityofsilver=10.5\times {10}^{3}kg/m^3 \\ DensityofGold=19.3\times {10}^{3}kg/m^3 \\ Densityofwater=1.0\times {10}^{3}kg/m^3 \\ relativedensityisthedensityofamaterialwithrespecttodensityofwaterat{4}^{0}C \\ so, \\ relativedensityofsilver=\frac{10.5\times {10}^{3}kg/m^3}{1.0\times {10}^{3}kg/m^3}=10.5 \\ relativedensityofgold=\frac{19.3\times {10}^{3}kg/m^3}{1.0\times {10}^{3}kg/m^3}=19.3 \\ and,theratioofdensityofsilverwithrespecttothatofgold=\frac{10.5\times {10}^{3}kg/m^3}{19.3\times {10}^{3}kg/m^3}=0.544 \end{gathered}$$
Regards,