Notes on how to calculate density

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Notebook p 29
Three Ways To
Determine Density
1) Regular Objects
1. Measure the each side of the block in
centimeters. Calculate volume in cm³:
multiply the length x width x height.
2. Place the block on a balance and determine
the mass in grams.
3. Calculate density D= m
V
Calculate the Density
• A block of bamboo measures 7.25cm x 3.91cm
x 2.55cm. The mass of the block is 28.91 g.
What is the density of the block?
• D = m/V
Calculate the Density
• A block of bamboo measures 7.25cm x 3.91cm
x 2.55cm. The mass of the block is 28.91 g.
What is the density of the block?
• D = m/V
D = 28.91 g / 7.25cm x 3.91cm x 2.55cm
D = 0.40 g/ cm³
2) Irregular Objects
1. Measure water in
graduated cylinder. Add
object and measure
again. Calculate volume:
2nd # - 1st #.
2. Place object on balance
and determine mass in
grams.
3. Calculate density D= m
V
Calculate the Density
• A sample of lead is found to have a mass of
32.6g. A graduated cylinder contains 2.8ml of
water. After the lead sample is added to the
cylinder, the water level reads 5.7ml.
Calculate the density of the lead sample.
• D = m/V
Calculate the Density
• A sample of lead is found to have a mass of
32.6g. A graduated cylinder contains 2.8ml of
water. After the lead sample is added to the
cylinder, the water level reads 5.7ml.
Calculate the density of the lead sample.
• D = m/V
• D = 32.6 g / (5.7ml – 2.8ml)
• D = 32.6 g / 2.9ml
• D = 11.24 g/ml
3) Density of a Liquid
1. Place empty graduated
cylinder on balance and
determine the mass in
grams.
2. Add liquid and read the
amount to find volume.
3. Place full graduated cylinder
on the balance. Calculate
mass: Full cylinder – empty
cylinder.
4. Calculate density D= m
V
Calculate the Density
• A graduated cylinder has a mass of 83.20g.
After 350ml of liquid mercury is added the
cylinder has a mass of 4,843.20g. What is the
density of the mercury?
Calculate the Density
• A graduated cylinder has a mass of 83.20g.
After 350ml of liquid mercury is added the
cylinder has a mass of 4,843.20g. What is the
density of the mercury?
• D = m/V
• D = (4,843g – 83.20g) / 350ml
• D = 4760g /350ml
• D = 13.60 g/ml
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