IGCSE/GCSE/O & A Level/IB/University Student Forum

Qualification => Subject Doubts => GCE AS & A2 Level => Sciences => Topic started by: nid404 on September 30, 2009, 07:04:16 am

Title: gas laws..
Post by: nid404 on September 30, 2009, 07:04:16 am
1) An iron cylinder contains He at a pressure of  250KPa at 300K. the cylinder can withstand a pressure of 1X10^6 Pa. The room in which the cylinder is placed catches fire. Predict whether the cylinder will blow up before it melts or not.....

2) The density of a gas at 27 degrees celcius and 760mm pressure was found to be 3g/l. Find out the temperature at which the density will become 2.4g/l, keeping pressure constant


Please answer


Thanks :)

Title: Re: gas laws..
Post by: nid404 on September 30, 2009, 07:10:04 am
okay I actually got the second one but want to confirm if it is 375K

Please answer the first one....astar..or adi and slvri
Title: Re: gas laws..
Post by: astarmathsandphysics on September 30, 2009, 07:32:35 am
In bed. Will answer when i get up.
Title: Re: gas laws..
Post by: nid404 on September 30, 2009, 08:09:54 am
okay....take ur time :D
Title: Re: gas laws..
Post by: astarmathsandphysics on September 30, 2009, 08:48:25 am
1) An iron cylinder contains He at a pressure of 300K. the cylinder can withstand a pressure of 1X10^6 Pa. The room in which the cylinder is placed catches fire. Predict whether the cylinder will blow up before it melts or not.....

2) The density of a gas at 27 degrees celcius and 760mm pressure was found to be 3g/l. Find out the temperature at which the density will become 2.4g/l, keeping pressure constant

1/ the volume is constant since it is the volume of the room.
\frac {P_1}{T_1}=\frac {P_2}{T_2} so T_2=P_2 \frac{T_1}{P_1}=10^6 *\frac{300}{250000}=1200K
Much more borderline than before, but still I say it wont melt.I think it will not melt since the temp of the fire is typically up to 1000K so the pressure will be less than 10^6

2)P1/d1=P2/d2
temp will be 2.4/3 *300=240K
Title: Re: gas laws..
Post by: nid404 on September 30, 2009, 08:56:14 am
Sorry I made a blunder

I've modified the question
Title: Re: gas laws..
Post by: nid404 on September 30, 2009, 02:15:28 pm
I've modified it...please answer ???
Title: Re: gas laws..
Post by: slvri on September 30, 2009, 02:39:29 pm
1) An iron cylinder contains He at a pressure of  250KPa at 300K. the cylinder can withstand a pressure of 1X10^6 Pa. The room in which the cylinder is placed catches fire. Predict whether the cylinder will blow up before it melts or not.....

2) The density of a gas at 27 degrees celcius and 760mm pressure was found to be 3g/l. Find out the temperature at which the density will become 2.4g/l, keeping pressure constant


Please answer


Thanks :)


this is physics right..........u guys are already so far ahead? i dont know how to answer this q cuz i aint studied this.........sory :-[
Title: Re: gas laws..
Post by: astarmathsandphysics on September 30, 2009, 02:53:40 pm
I modified my post too.
Title: Re: gas laws..
Post by: nid404 on September 30, 2009, 03:10:56 pm
thanks sir


but shouldn't the second  be  1/T1d1=1/T2d2


considering vapour density :-\
Title: Re: gas laws..
Post by: nid404 on September 30, 2009, 03:13:54 pm
this is physics right..........u guys are already so far ahead? i dont know how to answer this q cuz i aint studied this.........sory :-[

No problem slvri
Title: Re: gas laws..
Post by: astarmathsandphysics on September 30, 2009, 03:16:21 pm
pV= K but d=m/V soV=M/d so p/d=K
Title: Re: gas laws..
Post by: nid404 on September 30, 2009, 03:49:37 pm
pV= K but d=m/V soV=M/d so p/d=K

In this case the pressure is constant ???

so isn't it

t1d1=t2d2
300KX3=2.4Xt2
t2=375K

I'm confused :-\

Title: Re: gas laws..
Post by: astarmathsandphysics on September 30, 2009, 06:50:15 pm
it says in the question the pressure is constant
Title: Re: gas laws..
Post by: nid404 on October 04, 2009, 12:07:58 pm
another question

0.23g of a volatile solute displaced 112ml of air at  NTP. Calculate the vapour density and the molecular weight of the substabce

Title: Re: gas laws..
Post by: astarmathsandphysics on October 04, 2009, 12:32:02 pm
another question

0.23g of a volatile solute displaced 112ml of air at  NTP. Calculate the vapour density and the molecular weight of the substabce

density =0.23g/112cm^3 =2.3*10^-4 kg /112*10-6 m^3 =2.05 KG/m^3
 1 mol of a gas occupies 2240ml at ntp so we have 112/2240=0.5 mols.
0.5 mols weighs 0.23g so 1 mole weighs 0.23/0.05=46g
1 mol contains 6.023*10^23 molecules so 1 molecule weighs 0.046/6.023*10^23 kg
Title: Re: gas laws..
Post by: nid404 on October 04, 2009, 12:43:06 pm
answer is 46.02 and 23.01 ???
Title: Re: gas laws..
Post by: astarmathsandphysics on October 04, 2009, 12:49:02 pm
46 and 23.
Title: Re: gas laws..
Post by: nid404 on October 04, 2009, 12:52:06 pm
isn't density supposed to be in the form g/cm^3......the mass of 1 mole is 46g...so is the density 46g/cm^3....can u just take it like that??
Title: Re: gas laws..
Post by: astarmathsandphysics on October 04, 2009, 12:57:56 pm
g/cm3 would be 46/22400
Title: Re: gas laws..
Post by: astarmathsandphysics on October 04, 2009, 12:59:34 pm
cos at ntp 1 mol of gas occupies 22400ml or 22400cm^3
Title: Re: gas laws..
Post by: nid404 on October 04, 2009, 01:01:45 pm
ok got it...thanks sir
Title: Re: gas laws..
Post by: nid404 on October 06, 2009, 07:27:42 am
another 1 :P

The pressure exerted by a 12g of ideal gas at temp t degrees Celsius in a vessel V Litre is 1atm. When the temp is increased by 10 degrees at the same volume, the pressure increases by 10%. Calculate the temp t and voluume V.(molecular weight of gas=120)

ans
t=-173 degrees
V-0.82 L
Title: Re: gas laws..
Post by: nid404 on October 06, 2009, 08:23:16 am
can some1 please answer.....i need to leave for my class in an hour...pleeeeaaaaaaase
Title: Re: gas laws..
Post by: astarmathsandphysics on October 06, 2009, 08:38:04 am
The pressure exerted by a 12g of ideal gas at temp t degrees Celsius in a vessel V Litre is 1atm. When the temp is increased by 10 degrees at the same volume, the pressure increases by 10%. Calculate the temp t and voluume V.(molecular weight of gas=120)

ans
t=-173 degrees
V-0.82 L
\frac {p_2}{p_1}=\frac {T_2}{T_1}
1.1=\frac {T_1 +10}{T_1}=1+\frac{10}{T_1}
T_1=110K=-173 degrees celsius
0.1 mol of gas so pV=nRT so V=nRT/p=0.1*8.31*100/100000=8.31*10^-4 m3 or 0.83 ltres
Title: Re: gas laws..
Post by: nid404 on October 06, 2009, 08:45:39 am
thanks a lot astar :)


one more please
A balloon filled with helium rises to a certain height at which it gets fully inflated to a volume of 100000 litres. If at this altittude the pressure is 0.02 atm and temp is 268K, what weight of helium is required to fully inflate the balloon

when i used PV=nRT i don't get the right answer

Ans-36.36g
Title: Re: gas laws..
Post by: nid404 on October 06, 2009, 03:22:40 pm
no one answrin :(
Title: Re: gas laws..
Post by: Ghost Of Highbury on October 06, 2009, 03:36:25 pm
astar is offline.
Title: Re: gas laws..
Post by: nid404 on October 06, 2009, 03:37:12 pm
i know dude...some1 else could try
Title: Re: gas laws..
Post by: Ghost Of Highbury on October 06, 2009, 03:38:27 pm
he is online.~
Title: Re: gas laws..
Post by: astarmathsandphysics on October 06, 2009, 03:40:15 pm
one more please
A balloon filled with helium rises to a certain height at which it gets fully inflated to a volume of 100000 litres. If at this altittude the pressure is 0.02 atm and temp is 268K, what weight of helium is required to fully inflate the balloon

when i used PV=nRT i don't get the right answer

Ans-36.36g

n=pV/RT=(0.02*10^5*100)/(8.31*268)=89.8 mols
i mole of helium weighs 4g so 89.8 mols weighs 4*89.8=359.2g
Title: Re: gas laws..
Post by: Ghost Of Highbury on October 06, 2009, 03:43:21 pm
answer - 36
astar's answer = 359.2 ]

??

misprint?
Title: Re: gas laws..
Post by: astarmathsandphysics on October 06, 2009, 03:44:27 pm
I checked it too. I still get the same. what did you get?
Title: Re: gas laws..
Post by: Ghost Of Highbury on October 06, 2009, 03:48:16 pm
lol..i cannot solve an A/AS level physics question.  Only maths questions (most of them)

the answer says - 36g
Title: Re: gas laws..
Post by: astarmathsandphysics on October 06, 2009, 03:51:17 pm
thin k there may be a factor of 10 too much somewhere.
Title: Re: gas laws..
Post by: Ghost Of Highbury on October 06, 2009, 03:51:48 pm
okay.
Title: Re: gas laws..
Post by: nid404 on October 06, 2009, 07:09:42 pm
please try....i got the same answer...what's the matter with this question?? r we using the wrong method?
Title: Re: gas laws..
Post by: nid404 on October 13, 2009, 07:47:59 am
I need help with one more question...

Actually i don't know the formulae for finding out partial pressure...wet and dry gas and stuff....cuz i joined classes late

1) Oxygen is collected over water at 20 degrees Celsius . The pressure inside is shown by the gas is 740mm of Hg. What is the pressure of O2 alone if V.P of H2O is 18mm at 20 degrees celsius

do u simply do 740mm-18mm?? Please help
Title: Re: gas laws..
Post by: astarmathsandphysics on October 13, 2009, 07:53:08 am
Exactly
Title: Re: gas laws..
Post by: @d!_†oX!© on October 13, 2009, 07:54:13 am
pV= K but d=m/V soV=M/d so p/d=K
ummmm.....i dont really know i need this or not in my exams bt just for my curiosity....cud u plsss expand how u got dese....i understood d first 3.....bt how d last one?????
Thanks in advance....By the way is this A levels???
Title: Re: gas laws..
Post by: nid404 on October 13, 2009, 07:55:43 am
Exactly

THanks a  lot astar :) U rock!!
Title: Re: gas laws..
Post by: astarmathsandphysics on October 13, 2009, 08:30:33 am
pV= K

d=m/V so dV=m so V=m/d so pm/d =K so p/d=K/m =C another constant.
Not the mass m of the gass is fixed so now pressure/density=constant
Title: Re: gas laws..
Post by: nid404 on October 13, 2009, 08:33:40 am
ok few more please

For 10 min each, at 27 degrees celsius,from 2 identical holes,nitrogen and an unknown gas are leaked into a common vessel of 3 litre capacity. The resulting pressure is 4.18 bar and mixture contains 0.4 mole of nitrogen. WHat is the  molar mass of the unknown gas?
Title: Re: gas laws..
Post by: @d!_†oX!© on October 13, 2009, 08:49:01 am
pV= K

d=m/V so dV=m so V=m/d so pm/d =K so p/d=K/m =C another constant.
Not the mass m of the gass is fixed so now pressure/density=constant
ohhkkk......Thanks astar......By the way is this a levels or igcse?????this wont come in my exam rite????
Title: Re: gas laws..
Post by: nid404 on October 13, 2009, 08:49:53 am
ohhkkk......Thanks astar......By the way is this a levels or igcse?????this wont come in my exam rite????

nope it won't....it's an iit question....don't worry
Title: Re: gas laws..
Post by: astarmathsandphysics on October 13, 2009, 09:06:51 am
For 10 min each, at 27 degrees celsius,from 2 identical holes,nitrogen and an unknown gas are leaked into a common vessel of 3 litre capacity. The resulting pressure is 4.18 bar and mixture contains 0.4 mole of nitrogen. WHat is the  molar mass of the unknown gas?
pv=nRT
4.18*10^5*0.003=n*8.31*300 so n=0.503 moles so 0.103 moles unknown gas. The kinetic energies are the same(=3/2kT=1/2mv^2) so v=k/sqrt(m) the unknown gas diffuses at 1/4 the rate of nitogen so its mass must be 16 times greater 16*15=240g/mol
Title: Re: gas laws..
Post by: nid404 on October 13, 2009, 09:22:06 am
I didn't get it....do you mind explaining it please....

like why did u take V=0.003?? and the kinetic energy part of it
Title: Re: gas laws..
Post by: astarmathsandphysics on October 13, 2009, 09:57:02 am
3 litres =3000/1000000 m3
The kinetic energy of a gas molecule is 3/2kT so all the molecules have the same energy. The kinetic energy is given by 1/2mv^2 s0o mv^2 for nitrogen =mv^2 for the unknown gas so m is inversly proprtional to v^2. I will make a correction to my earlier post.
Title: Re: gas laws..
Post by: nid404 on October 13, 2009, 04:38:31 pm
thanks a lot astar :)
Title: Re: gas laws..
Post by: nid404 on October 20, 2009, 07:22:40 am
It's me again ::)

A stopclock, connecting two bulbs of volumes 5l and 10l containing an ideal gas at 9atm and 6atm respectively is opened. What is the final pressure in the two bulbs??
Title: Re: gas laws..
Post by: nid404 on October 20, 2009, 07:40:49 am
And one more

An open flask contains air at 27degrees celsius.Calculate the temperature at which it should be heated so that
a)1/3 of the air measured at 27degrees escapes out
b)1/3 of air measured at final temp escapes out
Title: Re: gas laws..
Post by: astarmathsandphysics on October 20, 2009, 08:10:08 am
A stopclock, connecting two bulbs of volumes 5l and 10l containing an ideal gas at 9atm and 6atm respectively is opened. What is the final pressure in the two bulbs??

partial pressures question
pressure of gas 1 =5/(5+10)*9=3atm
pressure gas 2 =10/(5+10)*6=4atm
partial =7atm
Title: Re: gas laws..
Post by: astarmathsandphysics on October 20, 2009, 08:14:39 am
An open flask contains air at 27degrees celsius.Calculate the temperature at which it should be heated so that
a)1/3 of the air measured at 27degrees escapes out
b)1/3 of air measured at final temp escapes out

1/3 escapes so volume is 3/2 of original volume so temple is 3/2*(273+27)=450K

I dont understand B. 1/3 of the air is 1/3 of the air does it mean the gas is heated again? If so 3/2*(450)=675K
Title: Re: gas laws..
Post by: nid404 on October 20, 2009, 08:23:29 am
even  i don't know abt the b part

thanks for the other ones tho :)

Title: Re: gas laws..
Post by: nid404 on October 20, 2009, 08:32:26 am
sir can u explain the partial pressure thing

how is 10/15=4
Title: Re: gas laws..
Post by: Light on October 20, 2009, 08:55:28 am
it is 10/15 * 6atm=4.mole fraction * pressure. ::)
Title: Re: gas laws..
Post by: astarmathsandphysics on October 20, 2009, 08:57:13 am
I corrected my post
Title: Re: gas laws..
Post by: nid404 on October 20, 2009, 08:57:45 am
it is 10/15 * 6atm=4.mole fraction * pressure. ::)

thanks. I just started with the concept...so i really don't know
Title: Re: gas laws..
Post by: astarmathsandphysics on October 20, 2009, 09:02:34 am
You calculae the pressure that would be exerted by each gas if it occupied the whole volume then add them
Title: Re: gas laws..
Post by: nid404 on October 20, 2009, 09:03:02 am
You calculae the pressure that would be exerted by each gas if it occupied the whole volume then add them

thanks sir