Question

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?

Answer 1

`(3.432g)/(mL)`

Explanation:

1. Find the volume of water added to fill the flask.
   `Density = (mass)/(volume)`
   `Volume = (mass)/(density)`
   `Vol (mL) = (18.52g)/((0.9970g)/(mL))`
   `Vol (mL) = (18.52g)*((mL)/(0.9970g))`
   `Vol (mL) = 18.58mL`

2. Find the volume of the metal by subtracting the volume of water add.
   volume of metal = `24.5 mL - 18.58mL`
   `Volume (mL) = 5.92mL`

3. This volume of metal has a mass of 20.32g. Therefore, we can find its density:
   `Density = (mass)/(volume)`
   `Density = (20.32g)/(5.92mL)`
   `Density = (3.432g)/(mL)`