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Date: Tue, 06 Apr 1999 09:02:12 +0200
From: Frank Riffel <frank.riffel@en*.co*>
To: Jsuw@ao*.co*
CC: techdiver@aquanaut.com
Subject: Re: Trimix Question
Jsuw@ao*.co* wrote:

> Helium also has a higher heat capacity than nitrogen.

Thats right (He: cP = 5.23 kJ/kg*K vs N2: cP = 1,038 kJ/kg*K),
but thats only half of the story. You have to take the mass of the
employed gases into the calculation, too.

Lets first look at the breathing cycle:
  * Inhale breathing mix at ambient temperature/pressure
  * Hydrate and warm up the gas
  * Exhale breating mix with 100% relative humidity and body temperature

The body loses its heat by convection. The energy which is expended can
be calulated with:

Q = cP * m * delta T

Q: Energy [kJ]
cP: heat capacity [kJ/kg*K]
m: mass [kg]
delta T: temperature difference [K]

The temperature difference delta T is the difference between body temperature
and the ambient pressure, both do not change while breating another mix.

The mass of a gas is dependent on the number of molecules and their specific
weight. The number of molecules in a fixed gas volume (loung) is only dependent
on the temperature, therefore if the temperature is constant the number of
molecules is constant, too. The specific weight is proportional to the relative
molecular weight Mr (Mr_He = 4, Mr_N2 = 28).

Now you can see that Q ~ cP * Mr.

What does this mean?
You loose less energy when you breath high helium mixes!!!

> A diver will feel
> colder breathing heliox than when breathing mixes containing at least some
> nitrogen.

Right, but that has to do with the heat transfer characteristics of helium.
Helium transfers heat much more rapidly than nitrogen. This is also the reason
why you dont want helium as dry suit inflation gas.

Regards

Frank Riffel


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