Answer
4.88 $\frac{g}{mL}$ is the density of hematite.
Work Step by Step
To find the density of hematite, apply the formula:
d = $\frac{m}{V}$
We know the m of hematite piece 70.7 g.
To find the volume of hematite, we should use the information we are given for the density of water, the mass of hematite and water, and the volume of the flask of water and hematite.
1- Find the mass of water in the flask by subtracting mass of hematite from the total mass:
m (water) = 109.3 g - 70.7 g = 38.6 g
2- Find the volume of water in the flask.
d = $\frac{m}{V}$ if expressed for V, this formula would be: V = $\frac{m}{d}$
$V_{water}$ = $\frac{38.6 g}{0.997 cm^{3}}$
$V_{water}$ = 38.72 $\frac{g}{cm^{3}}$
3- Find the volume of hematite by subtracting volume of water from the total volume of flask.
$V_{hematite}$ = $V_{flask}$ - $V_{water}$
( remember 1mL = 1 $cm^{3}$)
$V_{hematite}$ = 53.2 mL - 38.72 mL = 14.48 mL
4 - Now we can find the density of hematite:
d = $\frac{m}{V}$
d = $\frac{70.7 g}{14.48 mL}$
d = 4.88 $\frac{g}{mL}$
