A piece of metal has a mass of 200 g and a volume of 2 cm^3. What is its specific gravity?

Nov 30, 2016

$\text{Specific gravity}$ $=$ $100$.
$\text{Specific gravity}$ is the density ($\rho$) of a material compared to that of a reference substance, water.
And thus $\text{Specific gravity}$ $=$ ${\rho}_{\text{material"/rho_"water}}$ $=$ $\frac{\frac{200 \cdot g}{2 \cdot c {m}^{3}}}{1 \cdot g \cdot c {m}^{-} 3} = 100$.
Because it is ${\rho}_{\text{substance"/rho_"water}}$, the units cancel out, and $\text{specific gravity}$ is dimensionless. This density has been made up.