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Using Conversion Factors to Solve for Density in Moles 8 Views
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Description:
A mole is a unit used in chemistry to measure atoms, molecules, electrons, and other particles in a given amount of substance. We know that the molar mass of mercury is approximately 200 grams per mole. Using a small calibrated test tube containing water, a scientist is able to determine that the volume of a small amount of mercury that he will use in his experiment is 24.5 cubic centimeters. If mercury has a density of 13.5 grams per cubic centimeter, how many moles of mercury are in 24.5 cubic centimeters? Round your answer to one decimal place.
Transcript
- 00:01
Okay s eighty math shmoop er's We've got another siri's
- 00:04
of five questions from you and here we might actually
- 00:07
pull from these formulas This thing this reference information thing
- 00:11
here with the dunce cap on it You know that
- 00:13
thing you used to wear that Okay here we go
Full Transcript
- 00:15
Question One of five Mole different kind of mall is
- 00:21
a unit used in chemistry to measure adam's molecules electrons
- 00:25
and other particles in a given amount of substance We
- 00:28
know that the mueller mass of mercury is approximately two
- 00:30
hundred grams per mall Using a small calibrated test tube
- 00:34
containing water a scientist is able to determine that the
- 00:36
volume of a small amount of mercury that he will
- 00:38
use in his experiment is twenty four point five cubic
- 00:41
centimeters If mercury has a density of thirteen point five
- 00:45
grams per cubic centimeter How many moles and mercury are
- 00:48
in the twenty four point five cubic centimeters there around
- 00:51
your answer Okay Well so how do we think about
- 00:56
this Well let's start with a little prayer Mercury is
- 00:59
a roman god yes A planet and element And now
- 01:03
the subject of a math problem First right What's given
- 01:07
That is specific about the situation right Which is the
- 01:09
volume of twenty four point five cubic centimeters Hey you've
- 01:12
got one free point there A partial credit just for
- 01:15
doing that Then look for the ratio that relates cubic
- 01:18
centimeters to a different unit huh Where would that be
- 01:22
Well in this case the ratio is density and it
- 01:24
relates Cubic centimeters Two grams You just multiplying together making
- 01:29
sure that everything lines up like this And this is
- 01:32
the hard part in this question If you get this
- 01:33
equation right well life will go swimmingly We've got better
- 01:37
Units of cubic centimeters are in the numerator and denominator
- 01:41
So what happens Yes they cancel each other out Conveniently
- 01:45
like a smart people in congress were left with quite
- 01:48
a few grams of mercury here So we should find
- 01:50
something else in our toolbox of information that relates grams
- 01:54
to another unit question Wants units of moles So there's
- 01:58
good direction and go here We've got three hundred thirteen
- 02:00
point seven five grand times One mole over two hundred
- 02:03
grams About one point Seven moles The number you get
- 02:06
in your calculator will be a one point six five
- 02:09
Three seven five of the problem ask you to run
- 02:10
to the nearest tenth just round up to one point
- 02:13
seven and also noticed that we flipped the ratio of
- 02:15
moles program around to convert our final answer In two
- 02:18
moles we were told there were two hundred grams for
- 02:21
everyone mole but we're using moles in the numerator so
- 02:24
we can do this whenever we're presented with this conversion
- 02:29
factor thing Yeah you can look at it right here
- 02:31
it's all free on him up At least this party's
- 02:34
All right we're done answered one point Seven and i
- 02:36
were just going to move on from this weird looking 00:02:38.728 --> [endTime] mole Thanks dude
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