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PSAT 1.1 Math Narrative Walkthrough. In how many hours will James and Steve meet?
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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?
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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