Density
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Key Questions

Answer:
Density is the mass per unit of volume of a substance.
Explanation:
Density measures the compactness in molecular arrangement in any substance which determines how heavy or light any substance is.
The density formula is
#"density"# =#"mass"/"volume"# . Mass units are most commonly grams or kilograms. Volume units are most commonly cubic centimeters (#"cm"^3# ), cubic meters (#"m"^3# ), or millileters (mL).Examples of density include the following:
The density of water at
#"4"^"o""C"# can be written as#"1.000g/cm"^3# ,#"1.000g/mL"# ,#"1000Kg/m"^3# , and#"1.000kg/L"# .The density of iron at
#"0"^"o""C"# is#"7.874g/cm"^3# and#"7874kg/m"^3# .The density of sodium metal at
#"0"^"o""C"# is#"0.968g/cm"^3# , and#"968kg/m"^3# .In order to determine the density of a substance, you need to know its mass and its volume. Then divide its mass by its volume, remembering to divide the units as well.
Example
A#"1.26cm"^3# sample of the element mercury has a mass of#"17.05g"# . What is it's density?Solution
#"density"# =#"mass"/"volume"# =#"17.05g"/"1.26cm"^3# =#"13.5g/cm"^3"# Here is a video example of how to solve a density problem.

Answer:
They are related by the the density triangle.
Explanation:
They are related by the the density triangle.
d =
#m/V# m = d×V
V =
#m/d# DENSITY
Density is defined as mass per unit volume.
d =
#m/V# 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 cm³Step 2: Calculate the density
d =
#m/V# =#(433 g)/(200 cm³)# = 2.16 g/cm³MASS
d =
#m/V# 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 ×
#(1.11 g)/(1 mL)# = 555 gVOLUME
d =
#m/V# We can rearrange this to get the expression for the volume.
V =
#m/d# 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 ×
#(1000 g)/(1 kg)# = 14 830 gStep 2: Calculate the volume.
V =
#m/d# = 14 830 g ×#(1 cm³)/(19.32 g)# = 767.6 cm³ 
You can identify an unknown substance by measuring its density and comparing your result to a list of known densities.
Density = mass/volume. Assume that you have to identify an unknown metal. You can determine the mass of the metal on a scale. You can determine the volume by dropping the object into a graduated cylinder containing a known volume of water and measuring the new volume. You divide the mass by the volume and compare the density to a list of known densities.
EXAMPLE
A metal bolt with a mass of 99.7 g is dropped into a graduated cylinder containing 50.0 cm³ of water. The new volume reads
72.1 cm³. Identify the metal.Solution
V = 72.1 cm³  50.0 cm³ = 22.1 cm³
D =
#m/V = (99.7 g)/(22.1 cm³)# = 4.51 g/cm³Now you compare your density with a list obtained from your instructor or from an online source such as
https://sites.google.com/site/chempendix/densitiesofpuremetals
What metal was your bolt made of?