Question

The volume of a solid of mass $500g$ is $350c{m}^3$. (a) What will be the mass of water displaced by the solid? (b) What will be the density of the solid? (c) Find the relative density of the solid. (d) Will it float or sink in water?

Answer 1

Step 1:Given

Mass of solid$=500g$

Volume of solid $=350c{m}^3$

Density of water$=1g/c{m}^3$

(a) Density$=\frac{mass}{volume}$

Mass of water = Density of water $\times$volume of water

$$\begin{gathered} =1\times 350 \\ =350g \end{gathered}$$

(b) Density $=\frac{mass}{volume}$

Substituting the values

Density $$\begin{gathered} =\frac{500}{350} \\ =1.43g/c{m}^3 \end{gathered}$$

The solid will displace a volume of water equal to its own volume since the density of this solid $1.43gm/c{m}^3$while greater than the density of water $(1gm/c{m}^3)$

(c)Relative density $=\frac{\mathbf{D}\mathbf{e}\mathbf{n}\mathbf{s}\mathbf{i}\mathbf{t}\mathbf{y}\mathbf{}\mathbf{o}\mathbf{f}\mathbf{}\mathbf{a}\mathbf{}\mathbf{s}\mathbf{o}\mathbf{l}\mathbf{i}\mathbf{d}\mathbf{}}{\mathbf{D}\mathbf{e}\mathbf{n}\mathbf{s}\mathbf{i}\mathbf{t}\mathbf{y}\mathbf{}\mathbf{o}\mathbf{f}\mathbf{}\mathbf{w}\mathbf{a}\mathbf{t}\mathbf{e}\mathbf{r}}$

$$\begin{gathered} \mathbf{=}\frac{\mathbf{1}\mathbf{.}\mathbf{43}}{\mathbf{1}} \\ \mathbf{=}\mathbf{1}\mathbf{.}\mathbf{43} \end{gathered}$$

(d) It will sink in water as a density solid $(1.43g/c{m}^3)$ is greater than the density of water $(1g/c{m}^3)$.