# A piece metal weighing 20.32 grams is added to a flask with a volume of 24.5 mL. It is found of that 18.52 grams of water (d = 0.9970 g/ml) be added to fill the flask. What is the density of the metal?

Oct 2, 2016

$\frac{3.432 g}{m L}$

#### Explanation:

$D e n s i t y = \frac{m a s s}{v o l u m e}$
$V o l u m e = \frac{m a s s}{\mathrm{de} n s i t y}$
$V o l \left(m L\right) = \frac{18.52 g}{\frac{0.9970 g}{m L}}$
$V o l \left(m L\right) = \left(18.52 g\right) \cdot \left(\frac{m L}{0.9970 g}\right)$
$V o l \left(m L\right) = 18.58 m L$

2. Find the volume of the metal by subtracting the volume of water add.
volume of metal = $24.5 m L - 18.58 m L$
$V o l u m e \left(m L\right) = 5.92 m L$

3. This volume of metal has a mass of 20.32g. Therefore, we can find its density:
$D e n s i t y = \frac{m a s s}{v o l u m e}$
$D e n s i t y = \frac{20.32 g}{5.92 m L}$
$D e n s i t y = \frac{3.432 g}{m L}$