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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

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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