The density of a material can easily be calculated if we are given the mass and volume of a sample.

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Presentation transcript:

The density of a material can easily be calculated if we are given the mass and volume of a sample

In this example, we’re given that a 230 mL sample of butter has a mass of 200 g and we’re asked to calculate the density of butter in grams per centimeter cubed. A 230 mL sample of butter has a mass of 200 g. Calculate the density of butter in g/cm 3.

We know that the formula for density is density equals mass divided by volume. A 230 mL sample of butter has a mass of 200 g. Calculate the density of butter in g/cm 3. density = mass volume The density formula

We’ll make a note of the mass and volume in a table here A 230 mL sample of butter has a mass of 200 g. Calculate the density of butter in g/cm 3. density = mass volume mass200 g volume 230 mL = 230 cm 3

The mass of the sample is 200 g A 230 mL sample of butter has a mass of 200 g. Calculate the density of butter in g/cm 3. density = mass volume mass200 g volume 230 mL = 230 cm 3

And because mL is a unit of volume, we can state that the volume of the sample is 230 mL A 230 mL sample of butter has a mass of 200 g. Calculate the density of butter in g/cm 3. density = mass volume mass200 g volume 230 mL = 230 cm 3

However, we notice that they want us to calculate the density in grams per centimeter cubed, or grams per cubic centimeter. A 230 mL sample of butter has a mass of 200 g. Calculate the density of butter in g/cm 3. density = mass volume mass200 g volume 230 mL = 2 cm 3 The unit of density required is g/cm 3

So the unit we use for volume needs to be centimeters cubed. A 230 mL sample of butter has a mass of 200 g. Calculate the density of butter in g/cm 3. density = mass volume mass200 g volume 230 mL = = 2 cm 3 The unit of density required is g/cm 3

It is known that 1 mL is the same volume as 1 centimeter cubed. A 230 mL sample of butter has a mass of 200 g. Calculate the density of butter in g/cm 3. density = mass volume mass200 g volume 230 mL = = 2 cm 3 1 mL = 1 cm mL = 230 cm 3

So 230 mL is the same as 230 centimeters cubed A 230 mL sample of butter has a mass of 200 g. Calculate the density of butter in g/cm 3. density = mass volume mass200 g volume 230 mL = 230 cm 3 1 mL = 1 cm mL = 230 cm 3

And we can put 230 in for the volume in centimeters cubed. A 230 mL sample of butter has a mass of 200 g. Calculate the density of butter in g/cm 3. density = mass volume mass200 g volume 230 mL = 230 cm 3 1 mL = 1 cm mL = 230 cm 3

Now we can substitute the values for mass and volume into our equation, density equals mass divided by volume A 230 mL sample of butter has a mass of 200 g. Calculate the density of butter in g/cm 3. density = mass volume mass200 g volume 230 mL = 230 cm 3 density = mass volume

We substitute 200 grams in for mass A 230 mL sample of butter has a mass of 200 g. Calculate the density of butter in g/cm 3. density = mass volume mass200 g volume 230 mL = 230 cm 3 density = 200 g volume

And 230 centimeters cubed in for volume A 230 mL sample of butter has a mass of 200 g. Calculate the density of butter in g/cm 3. density = mass volume mass200 g volume 230 mL = 230 cm 3 density = 200 g 230 cm 3

So the density is 200 grams divided by 230 centimeters cubed, A 230 mL sample of butter has a mass of 200 g. Calculate the density of butter in g/cm 3. density = mass volume mass200 g volume 230 mL = 230 cm 3 density = 200 g 230 cm 3

Which comes out to 0.87 grams per centimeter cubed. A 230 mL sample of butter has a mass of 200 g. Calculate the density of butter in g/cm 3. density = mass volume mass200 g volume 230 mL = 230 cm 3 density = 200 g 230 cm 3 density = 0.87 g/cm 3

So the answer to the question is the density of butter is 0.87 grams per centimeter cubed. A 230 mL sample of butter has a mass of 200 g. Calculate the density of butter in g/cm 3. density = mass volume mass200 g volume 230 mL = 230 cm 3 density = 200 g 230 cm 3 density = 0.87 g/cm 3 The density of butter is 0.87 g/cm 3 Answer