For a gas, pressure and volume are inversely

proportional. If you keep everything else constant, then as the pressure on a gas goes

up, its volume goes down. As the volume a gas occupies goes up, its pressure goes down. If you exert pressure on a gas, you can compress

it – make it take up less space. Imagine a hard container that measures how many times

gas particles bang against the sides. The more the gas particles bang against the sides,

the higher the gas pressure on the container. If you make the container smaller, you compress

the gas. The particles of gas will run into the sides more often per second, so that means

higher pressure. If you keep the amount of gas particles constant, but you make the size

of the container bigger, there will be fewer collisions per second with the sides. That

registers as lower pressure. Robert Boyle stated the inverse relationship

between pressure and volume as a Gas Law. Boyle’s Law says that for a given amount

of gas, at fixed temperature, pressure and volume are inversely proportional. P ∝ 1/V.

You can write this mathematically as P=k/V where

P=pressure V=volume, and

k=is a proportionality constant. We can rearrange this equation so it reads

PV=k, or the product of pressure and volume is a constant, k. [4] Very often Boyle’s law is used to compare

two situations, a “before” and an “after.” In that case, you can say P1V1=k, and P2V2

=k, so you can write Boyle’s law as P1V1=P2V2. Let’s see an example. Example 1: A tire with a volume of 11.41 L

reads 44 psi (pounds per square inch) on the tire gauge. What is the new tire pressure

if you compress the tire and its new volume is 10.6 L?

Write out Boyle’s Law, and substitute in what we know.

This is one of those “before and after” situations, so we write P1V1=P2V2

(44 psi)(11.41L)=(P2)(10.6L) solve for P2 (divide both sides by 10.6L)

(44 psi)(11.41L)/10.6L=P2 P2=47.36 psi (There are 2 significant figures

in the measurement 44 psi, so we round our answer to 2 sig figs)=47 psi Example 2: Here’s another example: A syringe

has a volume of 10.0 ccs (or 10 cubic centimeters). The pressure is 1.0 atm. If you plug the end

so no gas can escape, and push the plunger down, what must the final volume be to change

the pressure to 3.5 atm? P1V1=P2V2

(1.0 atm)(10.0 cm3)=3.5 atm (V2) solve for V2 (divide both sides by 3.5 atm)

(1.0 atm)(10.0 cm3) / 3.5 atm=V2 V2=2.9 cm3 (2.9 ccs) Boyle’s law relates pressure and volume,

but there are other gas laws which relate the other essential variables associated with

a gas. Charles’s Law is the relationship between temperature and volume.

Gay-Lussac’s Law is the relationship between pressure and temperature. And the combined

gas law puts all 3 together: Temperature, Pressure, and Volume. Notice that to use any

of these laws, the amount of gas must be constant. Avogadro’s Law describes the relationship

between volume and the amount of a gas (usually in terms of n, the number of moles). When

we combine all 4 laws, we get the Ideal Gas Law. To decide which of these gas laws to

use when solving a problem, make a list of what information you have, and what information

you need. If a variable doesn’t come up, or is held constant in the problem, you don’t

need it in your equation.

I love physics, and you guys.

For a gas, pressure and volume are inversely proportional.Robert Boylestated the inverse relationship between pressure and volume as a Gas Law.Boyle’s Lawsays that for a given amount of gas, at fixed temperature, pressure and volume are inversely proportional.P ∝ 1/V. You can write this mathematically asP = k/V#LearnMore

Very good, Bonito, Narration Top Class!!! 😃📦♨

Thank you for posting this video. One question, why use psi instead of Pascals? You are using liters for volume, so I would have expected SI throughout.

Thank you for this video. It helped me understand what I just couldn't understand before.

good and excellent

Do a video on Pascal's Law.

thnx it helped me alot

so clear! very good video.

was usefullll for me

a lot of thanks for your try

with best wishes for you

love the way you teach

i have a question, why cant I just write P/V? so when pressure goes up, volume goes down and vice versa. or something like this ↑P1xV1=P2x↓V2

Thank you very much socratica

uhm hey, what if the temperature is missing?how do I solve for that?

Boyles law state that volume is any gas universely proportional a pressure at constant temperature

,keeping by k. constant

In the first example, why are both sides divided by 10.6?? thanks for helping

Oh, by the way, I subscribed! Thanks for the great video!

I've been trying to understand Boyle's Law for years now and this has really helped me but I do have a question. In the first example, the answer was 47.36, it wasn't rounded up to 47.40, yet in the second example, 10 divided by 3.5 equals 2.85 and it was rounded up to 2.9. Could you please explain why this is? Thank you!

@tdayo10 @chrisdoody1

Thanks so much for the video! Btw, I think it would be a better idea if you include real experiment! Like this:

https://www.youtube.com/watch?v=tyqoZpIcEAw

this is the experiment of boyle's law in my class.

thnxx for tis

thanks

can you do a lesson like this but with less P and V stuff. (im only in 6th grade :/) GREAT VID!

why is there a random picture of a woman in each thumbnail of your videos? Not weird at all…

Socratica u r a best teacher

Hey! are there only videos in the official website or is there any study material too??

I understood everything, even I don't speak English very well. Thanks Socratica

oh gosh !!!!! thanks so much +Socratica actually in my book i didn't get what they meant but by seeing ur video i can remember this until my grave!!!!! thanx : )

this video was really helpful…thank u so much !!

Amazing video 🙂

how you are editing

amazing and so much helpful..ty man☺☺

thank you…

thanks

thank you

thank very much

excellent!

I have problem of 1 example ..why divided to 10.6L.

THANK YOU SO MUCH

like it . it is so useful for me .

So helpful… Thank you Madame 👏🏽

Thanks.

Thank you from Turkey.

Thanks this was a great explanation

Goodluck to me tomorrow:(

excellent teaching

44 psig = 58.5 psia

58.5*11.41 = P2*10.6

P2 = (58.5*11.41)/10.6

P2 = 63 psia = 48.5 psig

Using your method of applying Boyle's Law, solve the following:

V1 = 10L

P1 = 0 psi

V2= 1L

P2 = ?

OMG finally I get it…..5 different vids later. Thankyou!!!

this saved my chemistry mark

Thank you so much that I can,t tell you

ιтѕ really oѕм….😘😍

Good old high school chemistry.

Very nice video

Thank you…

Well explained.

Nice

I can not even believe it!!! I have been in class for 1 week totaling 3.5 hours and THIS VIDEO summed up in 5 MINUTES what my professor has taken 1 week to poorly explain. College professors teaching in classrooms are a dying breed! WHY do I have to go to class? WHY? It is ONLY so the professors can draw an income. I feel bad for THEM, but they are a waste of time and effort.

Nice

It's very good by the way nice job

How can I solve for V1?

My teacher has no idea what she’s doing and everyone in my class has a C or Lower I’m really confused

Y jo V2 ka answer araha hai wo ksy araha hai or usko kya multiply kr rhy hai y divide plzz btae

Excellent!! Your videos are the best 👌

Why can't my teachers just be this goooood😭😭

Not understood mam make one more video plz

0:02

Very nice

I am

Justin

Love you!

tnx u madam

If volume is increasing than the pressure is decrease and when volume is decrease than the pressure is increasing so how temperature is constant

very good

This doesnt make any sense

wowww good

mam urs teaching style is tooo amazing …. i like it god bless u……..I am eagerly Waiting for watching urs next creativity………..

clearly stated. thanks

Thank you so much……It helped me a lot…

Thanks 😘

It was helpful for me.

Thanks👍👍☺️☺️☺️🌷🌷🌷.

THANKS…

literally cannot thank you enough for this

THANK YOU SO MUCH

Thaks for this vedio

Thanks for posting this video😀

Good work thank you 👍😘

Awesome. Concise. Clear.

Super voice

Plzz can you tell charles law factor of 1/273 of its original volume at zero

Extremely informative! I understand the gas law now!

You are the best

the explanation is really tremendous.

Thanks useful

Thank you mam..it helped me alot..Thank u so mch

Thank's ma'am

It was really helpful 😊

Thank you coo much for the video it rlly gave me a clear and simple insight about boyles law

thank you so much for this video..you don't know how much time I saved to understand the boyle's law with your video, exactly what it is on my book.. <3 btw the voice narrating is gooood!!