Answer:V = 72.1 cm³ - 50.0 cm³ = 22.1 cm³
D = mV=99.7g22.1cm³ = 4.51 g/cm³
Explanation:
d = mV
m = d×V
V = md
DENSITY
Density is defined as mass per unit volume.
d = mV
Example:
A brick of salt measuring 10.0 cm x 10.0 cm x 2.00 cm has a mass of 433 g. What is its density?
Step 1: Calculate the volume
V = lwh = 10.0 cm × 10.0 cm × 2.00 cm = 200 cm³
Step 2: Calculate the density
d = mV = 433g200cm³ = 2.16 g/cm³
MASS
d = mV
We can rearrange this to get the expression for the mass.
m = d×V
Example:
If 500 mL of a liquid has a density of 1.11 g/mL, what is its mass?
m = d×V = 500 mL × 1.11g1mL = 555 g
VOLUME
d = mV
We can rearrange this to get the expression for the volume.
V = md
Example:
What is the volume of a bar of gold that has a mass of 14.83 kg. The density of gold is 19.32 g/cm³.
Step 1: Convert kilograms to grams.
14.83 kg × 1000g1kg = 14 830 g
Step 2: Calculate the volume.
V = md = 14 830 g × 1cm³19.32g = 767.6 cm³