Compress helium in a CO2 cartridge

[lfin]

TL;DR Summary

Is it possible to compress enough helium in co2 cartridge to fill a party balloon, or even something more?

Sadly my physics knowledge has rusted since high school, and i'm struggling to find an answer to my question.
would it be possible to compress helium in a standard 12g co2 cartridge? would it be possible to compress enough gas to fill a balloon?
If compressing any helium in a cartridge is possible at all, how much lifting capacity could it have?

I can't really find any helium filled cartridges as such on the market, and I found mentioned that the pressure required to compress helium is quite high, so it may exceed the cartridge pressure rating?
Could someone enlighten me on the subject and break down concepts as simply as possible?
Thanks

 

[russ_watters]

I would think you can Google the volume of uncompressed CO2 in a cartridge or the pressure and volume and go from there.

But are you saying you actually want to compress the helium yourself, to fill the cartridge? That's unlikely.

 

[Baluncore]

The molecular weight of CO₂ is 44 g/mole.
The molecular weight of He is 4 g/mole.
The same number of moles will fill the same volume at the same pressure.

12 g of CO₂, will have the same PV as; 12 * 4 / 44 = 1.09 g of He.

One mole of gas, at 20°C and 1 atm, has a volume of about 24 litres.
So the cartridge will hold about 24 * 1.09 / 4 = 6.5 litres of He gas for the balloon.

 

[phyzguy]

I don't think this is correct. The CO2 in a CO2 cartridge is liquid.

 

[Baluncore]

The CO2 in a CO2 cartridge is liquid.

Well spotted.
CO₂ is liquid at 73 atm and 31 °C.
Critical point of CO₂ = 7.38 MPa, at 31.1 °C
Density of liquid CO₂ is 0.771 g/cc, (at 20°C).
12 g of CO2 liquid has a volume of 12 / 0.771 = 15.56 cc.
So we assume volume of cartridge is 15.56 cc.
What quantity of He gas can be compressed into 15.56 cc at 73 atm ?
Pressure ratio is 73. Volume is 15.56 cc.
73 * 15.56 cc = 1135 cc = 1.135 litre.