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Rearranging the Combined Gas Law 173 Views


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Description:

PSAT 1.6 Math Narrative Walkthrough. What's the best way to rearrange the Combined Gas Law to isolate the unknown?

Language:
English Language

Transcript

00:00

Sorry And here's your shmoop du jour brought to you

00:04

by the combined gas law which basically sets a limit

00:07

on elevator flatulence Because it's a long way to the

00:11

ground floor Yeah all right One form of the combined

00:14

gas law is an equation to help us find out

00:16

how a certain amount of gas changes With the change

00:19

in its conditions the laws written below he one times

00:22

be won over T wan equals p two times me

00:24

two over t to temperatures t pressures p volumes vi

00:27

and wanted to show two different conditions A scientist knows

00:31

how a gas Acts under condition 1 and wants to

00:33

find out how the temperature would change when that same

00:36

gas is put in a smaller container under higher pressure

00:40

What's the best way to rearrange the combined gas lotto

00:43

Isolate the unknown And here the lancers Right We're going

00:47

to move around a whole bunch of letters There's Some

00:49

scientists hanging out in a lab all day playing around

00:52

with gas We had our fingers cross for him that

00:55

this gas would be odorless But well the clothes pin

00:57

thing here Yeah that's Not a good sign Okay so

01:00

let's take a look see at our equation So the

01:02

pressure times the volume divided by the temperature of the

01:04

gas under the first set of conditions is equal to

01:07

the pressure times the volume divided by the temperature under

01:09

the second set of conditions Now we don't need to

01:11

solve for anything which is good because we don't see

01:14

any actual numbers We just need to figure out how

01:16

this equation should be rearranged Teo as the problem states

01:20

isolate the unknown So uh what's the unknown Not now

01:24

guys We're talking more local Well we were told that

01:28

our hero knows how the gas Acts under condition 1

01:31

So if that's all known we must not need to

01:33

isolate any of these three guys The problem also states

01:36

that he's going to put the gas in a smaller

01:38

container which would affect the volume and under higher pressure

01:42

knew that the only unknown here is going to be

01:44

the temperature under the second set of conditions In fact

01:47

the problem even says that when it mentions the scientist

01:51

wants to find out how the temperature would change So

01:54

yeah we need to get tea too All by myself

01:56

Which is a little terrifying because we saw what happened

01:58

in the movie I'll be shmoop to isolate t to

02:02

weaken start by dividing both sides of the equation by

02:05

p to v to to get one over t two

02:08

equals he won times be won over p two times

02:11

feed two times t one we're taking the reciprocal of

02:15

both sides We wind up with t two equals p

02:17

two times v two tons t one all overpay one

02:20

times be one We've got tea too by itself which

02:23

is what we wanted and it looks like option c

02:25

is our man He ask us to Those elevators should

02:27

also institute a combined be olaf because no one should

02:31

have to pay for another's lack of hygiene Well in

02:33

a small confined space we might just write our congressman 00:02:37.66 --> [endTime] would be shmoop

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