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Date: Wed, 28 May 1997 14:31:52 BST
From: Steve Millard <ec96@li*.ac*.uk*>
Subject: Analysing the helium in Trimix ??
To: Techdiver <techdiver@aquanaut.com>
Hi to all on Techdiver,

We have a small group of Trimix divers in the UK and were discussing how we 
might determine the % of helium in a ready-mixed cylinder of trimix.  

Gas chromatography is out of the question for all practical purposes.

The %O2 is easy to find out..but how to distinguish between the remaining
helium 
and nitrogen ?  Then I discussed the possibility of finding the % He and N2 by 
using the difference in density.

I had a quick go at the maths & it doesn't look so bad....These are all metric 
units.  My apologies to the Imperial unit divers in the USA, but the principle 
doesn't change.

At STP (1 bar pressure & 20 degrees C) 22.4 litres of gas weighs :-

        Oxygen          = 32 grams
        Helium          = 4 grams
        Nitrogen        = 28 grams

So for a 10 litre cylinder at 200 bar, let's try out a typical 65m mix of 19/35 
Trimix....

        19% O2 weighs 543 grams
        35% He weighs 125 grams
        46% N2 weighs 1150 grams

The total = 1818 grams

but if we change the He by just 1% then...

        19% O2 weighs 543 grams
        36% He weighs 129 grams
        45% N2 weighs 1125 grams

The new total = 1797 grams, ie a 21 gram difference.

Now if the steel cylinder weighs around 10 kg then we need to be able to weigh 
around 12 kg in total to an accuracy of + or - 10 grams (ie around 0.1% 
accuracy) to get the He % to an accuracy of 1%.  

I've no idea of how available or expensive a weighing balance of this sort 
of accuracy is...but it doesn't sound too difficult.  For any given %O2, and 
cylinder volume and pressure it would be easy to work out a chart giving the
%He 
and %N2, if you know the total weight of gas mix.

Any comments/thoughts ?

Some problems might be

        a) Pressure x Volume isn't a perfect constant at high pressures, so it 
needs a compressability curve for each gas instead of the simple ratio I used.  
Does anyone have access to non-linear gas compressablity curves in the 200 bar 
to 300 bar range for O2, He and N2 ?

        b) You would have to be very careful not to add any extra clips or to 
get the cylinder wet on the outside or do anything other than just add gases 
between weighing the cylinder empty & then full.

        c) Decanting will heat the gases up & the temperature increase must 
either be compensated  for or removed by allowing full cooling.

     Regards, Steve M.

**************************************************************************
*                                        *                               *
*    Dr. S. G. Millard,                  * E-Mail : ec96@li*.ac*.uk*       *
*    Senior Lecturer,			 *	                         *
*    Department of Civil Engineering     * Tel :    0151 794 5224 (UK) 	 *
*    University of Liverpool,            *        44 151 794 5224        *
*    PO Box 147,                         *             (International)   *
*    Liverpool L69 3BX,                  *                               *
*    UK.                                 * Fax :    0151 794 5218 (UK)   *
*                                        *        44 151 794 5218        *
*                                        *             (International)   *
*                                        *                               *
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