40 g of iron shot is added to graduated cylinder containing 40 ml of water. The water level rises to 45 ml mark. From the information, calculate the density of iron.
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Explanation:
Density is mass per unit volume. The formula for density is:
density
=
mass
volume
When you have an irregular solid, you can determine its volume using water displacement. When the solid is added to a known volume of water, the water level in the graduated cylinder increases. The volume of the solid is the difference between the final volume and the initial volume of water in mL.
Volume of iron
49.10 mL
−
45.50 mL
=
3.60 mL
The volume of the iron shot is
3.60 mL
.
Density of iron
density
=
28.5 g
3.60 mL
=
7.92 g/mL
Since
1 mL
=
1 cm
3
, you can also report the density of iron as
7.92 g/cm
3
.
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