hello and welcome to the chemistry
solution this tutorial is on density
calculations we can calculate the
density knowing that the density equals
the mass of a compound divided by its
volume if a liquid has a mass of 352
grams and a volume of 0.5 for six liters
what is the density of the liquid in
grams per milliliter
we know that the density equals the mass
divided by the volume and so we'll put
our mass on top which is 352 grams
divided by our volume which is 0.5 for
six liters but the question asks what is
the density of the liquid and grams per
milliliter so we know that we need to
change the volume on the bottom from
liters to milliliters and we can do this
using dimensional analysis we know that
we need to use a conversion factor and
we'll know that we need units of liters
on the top to cancel with units of
liters on the bottom we also know that
one liter is equal to one thousand
milliliters this allows us to cancel out
units of liters leaving us in units of
grams per milliliter which is what the
question is asking us for when we plug
the numbers into our calculator we find
that the density of the liquid is 0.6
for five grams per milliliter
what if we're given the density of an
object and asked to find either the mass
or volume let's look at another example
if you have 25 grams of gold with a
density of 19 point 3 grams per
centimeter cubed and 29 grams of
platinum which has a density of 21 point
4 5 grams per centimeter cubed which
medal would occupy the greatest volume
well we know that density equals the
mass divided by the volume so when we
rearrange the equation to solve for
volume where you can see that the volume
would equal the mass divided by the
density let's look at the sample of gold
first we'll put the mass on top 25 gram
/ the given density 19.3 g/cm^3 now
let's set up our calculation for
platinum we need to put the mass on top
which would be 29 grams divided by the
density which would be 21 point 4 5
grams per centimeter cubed because we
have units of grams on the top and grams
on the bottom that allows us to cancel
out the units of grams so the answers we
calculate will be given in centimeters
cubed we put these values into our
calculator we can see that the gold will
have a volume of 1.3 centimeters cubed
while the platinum will have a volume of
1.4 centimeters cubed which means that
the sample of platinum in this problem
would occupy the greatest volume thanks
for watching the chemistry solution we
hope you enjoyed this tutorial
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