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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

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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