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PSAT 1.3 Math Narrative Walkthrough. How many full packages of secret ingredient does the company have to buy to make one 50-gallon batch?
PSAT 1.6 Math Narrative Walkthrough. What's the best way to rearrange the Combined Gas Law to isolate the unknown?
PSAT 1.7 Math Narrative Walkthrough. How tall would the boxes have to be?
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?
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
Full Transcript
- 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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