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Drawing Conclusions from Context for a Given Linear Function 4 Views
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Description:
In a laboratory experiment, heating the contents of a closed, sealed, and inelastic vessel increases the pressure caused by gas within the vessel at a constant rate. The increase is modeled by the equation above, where P is the pressure of gas in the vessel given in atmospheric units (atm) and T is the temperature in Kelvin. Based on this equation, which of the following is true?
Transcript
- 00:03
Okay s eighty match members Four of five here in
- 00:06
this section Just tryingto divine what these equations mean Alright
- 00:10
here's Another point Nine p is t after excrement heating
- 00:13
the contents of closed sealed and any lasting vessel increases
- 00:15
pressure caused by gas with universal at a constant rate
Full Transcript
- 00:17
increases model But about what if he is a pressure
- 00:19
vessel given an atmospheric unit or and t is the
- 00:20
time for being killed in the same situation with a
- 00:22
bone through all right people what time is it Yes
- 00:26
it's science time Aren't you happy Everyone has their safety
- 00:29
gloves and goggles on right Right Let's turn the heat
- 00:32
on and get this experiment started This problem deals with
- 00:34
independent and dependent variables Will independent variables represent what is
- 00:39
being controlled the x value And here we can control
- 00:42
the increase in temperature Got it We're gonna crank up
- 00:45
the eggs Dependent variables represent the y value So as
- 00:49
we turn act why will change Yeah That's The y
- 00:51
values its value That depends on the x value or
- 00:55
response to the changes that the scientists makes to the
- 00:57
temperature of the vessel in this instance will have a
- 01:00
corresponding pressure change in response to an increase in temperature
- 01:03
and the variable being controlled here is the temperature tea
- 01:06
because it is said that the pressure depends on the
- 01:09
heat Like we get that right in the problem This
- 01:12
problem can be translated to slope intercept form quickly that
- 01:15
y equals mx plus b thing T is the x
- 01:19
value P is the y value and find the slope
- 01:22
intercept form of a line We need to isolate the
- 01:24
y value or in this case p so let's go
- 01:27
back the original equation zero point nine p s t
- 01:29
p equals one point one t because see we divide
- 01:32
both sides by point nine there plug in two equals
- 01:34
one and p equals one point one Well t equals
- 01:38
two yields P equals two point two So the pressure
- 01:41
increases by one point One atm for everyone Kelvin Increase
- 01:45
in temperature Right One degree kelvin goes up and the
- 01:48
pressure goes up a little bit more than one fun
- 01:51
fact This is the reason aerosol cans can birth when
- 01:54
heated up Increasing the heat inside of them increases their
- 01:57
pressure which gets dangerous when dealing with a sealed vessel
- 02:00
There that extra pressure has to go somewhere even if
- 02:03
it's through the walls of the metal cans So you
- 02:05
don't leave those open in your car in texas and 00:02:07.975 --> [endTime] some home
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