# Chemistry: Boyle’s Law (Gas Laws) with 2 examples | Homework Tutor

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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.

Brutal BrewerPost authorI love physics, and you guys.

SocraticaPost authorFor 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

cbpsdPost authorVery good, Bonito, Narration Top Class!!! 😃📦♨

Pascal ChesnaisPost authorThank 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.

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

THOMAS THUNDIYATH CHERIANPost authorgood and excellent

ZephoNPost authorDo a video on Pascal's Law.

Ilyas DrPost authorthnx it helped me alot

Tony NguyenPost authorso clear! very good video.

edris dolatiPost authorwas usefullll for me

a lot of thanks for your try

with best wishes for you

Kaushal MallahPost authorlove the way you teach

aks flashPost authori 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

Ravindra AvhadPost authorThank you very much socratica

Crisse RomeroPost authoruhm hey, what if the temperature is missing?how do I solve for that?

Adonay AlemPost authorBoyles law state that volume is any gas universely proportional a pressure at constant temperature

,keeping by k. constant

charens 1011Post authorIn the first example, why are both sides divided by 10.6?? thanks for helping

charens 1011Post authorOh, by the way, I subscribed! Thanks for the great video!

Yasmin BeygoPost authorI'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!

princeton ballPost author@tdayo10 @chrisdoody1

Huong LePost authorThanks 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.

aarzoo sinhaPost authorthnxx for tis

champagnesnPost authorthanks

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

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

Kotresh I.MPost authorSocratica u r a best teacher

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

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

ishan jhaPost authoroh 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 : )

Adrija NandyPost authorthis video was really helpful…thank u so much !!

Ayesha RashidPost authorAmazing video 🙂

Arun jaiswalPost authorhow you are editing

husainahappy daysPost authoramazing and so much helpful..ty man☺☺

Moosa IqbalPost authorthank you…

Choudhary Hassan JattPost authorthanks

VENNIYOOR TECHPost authorthank you

Ajay KumarPost authorthank very much

SREE VASTAVAPost authorexcellent!

TEcH biđPost authorI have problem of 1 example ..why divided to 10.6L.

chakaravarthy GPost authorTHANK YOU SO MUCH

Nutan PatilPost authorlike it . it is so useful for me .

Marie WillPost authorSo helpful… Thank you Madame 👏🏽

HeisenbergPost authorThanks.

Menalous SevaPost authorThank you from Turkey.

Aidan OwenPost authorThanks this was a great explanation

Lord EscanorPost authorGoodluck to me tomorrow:(

Vishwaksen Reddy DareddyPost authorexcellent teaching

logical canuckPost author44 psig = 58.5 psia

58.5*11.41 = P2*10.6

P2 = (58.5*11.41)/10.6

P2 = 63 psia = 48.5 psig

logical canuckPost authorUsing your method of applying Boyle's Law, solve the following:

V1 = 10L

P1 = 0 psi

V2= 1L

P2 = ?

Lei HPost authorOMG finally I get it…..5 different vids later. Thankyou!!!

Layla HussainPost authorthis saved my chemistry mark

Abhinav,s channelPost authorThank you so much that I can,t tell you

Madhavi CollectionsPost authorιтѕ really oѕм….😘😍

learnphilosophyPost authorGood old high school chemistry.

Pramod RaiPost authorVery nice video

Bijaya GautamPost authorThank you…

bud ekinsPost authorWell explained.

legendary biographyPost authorNice

Maria OrsicPost authorI 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.

Baikunthanath SahooPost authorNice

SHÃHÑØŌR MŪGHÂLPost authorIt's very good by the way nice job

Diomedito MaríaPost authorHow can I solve for V1?

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

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

Daniela GonzálezPost authorExcellent!! Your videos are the best 👌

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Imagined Last onePost authorNot understood mam make one more video plz

Goverdhan SundriyalPost author0:02

Khageswar NayakPost authorVery nice

I am

Justin

Arnar GautiPost authorLove you!

Mounami PoojithaPost authortnx u madam

Maria atiquePost authorIf volume is increasing than the pressure is decrease and when volume is decrease than the pressure is increasing so how temperature is constant

Husseen AhmadPost authorvery good

CarsonPost authorThis doesnt make any sense

Fatima KhanPost authorwowww good

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April Grace VichoPost authorclearly stated. thanks

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0725457998 TherenjaPost authorThanks 😘

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Thanks👍👍☺️☺️☺️🌷🌷🌷.

Moosa IqbalPost authorTHANKS…

KPost authorliterally cannot thank you enough for this

StephPost authorTHANK YOU SO MUCH

Belal MajiPost authorThaks for this vedio

zora khanPost authorThanks for posting this video😀

fady fayezPost authorGood work thank you 👍😘

BlueskywatcherPost authorAwesome. Concise. Clear.

MULTI TALENTEDPost authorSuper voice

Clasher Gamer!Post authorPlzz can you tell charles law factor of 1/273 of its original volume at zero

Tyler LaurenPost authorExtremely informative! I understand the gas law now!

ROY SolomonPost authorYou are the best

Padmanav KakatiPost authorthe explanation is really tremendous.

HEMALATHA PONSEKARPost authorThanks useful

Rani RaniPost authorThank you mam..it helped me alot..Thank u so mch

Shrey TiwariPost authorThank's ma'am

It was really helpful 😊

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

Green Tea ChoclatPost authorthank 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!!