A 6.2kg piece of metal displaces 0.80 L of water when submerged.Find its density.
The metal will displace water equal to its volume, since it will sink.
You surely know the formula for density: (mass/(volume)
Use it.
Density can be in kg/liter or g/cm^3. The number will be the same, since 1000 g = 1 kg and 1000 cm^3 = 1 liter
To find the density of the metal, we need to use the given information about its mass and volume.
The formula for density is:
Density = Mass / Volume
Given:
Mass of the metal (m) = 6.2 kg
Volume of water displaced (V) = 0.80 L (converted to liters)
First, we need to convert the volume from liters to cubic meters since the SI unit for volume is cubic meters.
1 cubic meter = 1000 liters
Therefore, 0.80 L = 0.80 / 1000 = 0.0008 m^3
Now we can plug in the values into the formula:
Density = 6.2 kg / 0.0008 m^3
Density ≈ 7750 kg/m^3
So, the density of the metal is approximately 7750 kg/m^3.
To find the density of a substance, you need to know its mass and volume. The mass can be measured using a balance, while the volume can be determined by measuring the displacement of a known fluid (as in this case) or by using various techniques such as immersion, displacement, or calculation for regular-shaped objects.