If you measure the vapour pressure of a substance at the critical temperature, that pressure is called the critical pressure. Alternatively it could be defined as the pressure which is required to liquefy a vapour at its critical temperature.
A substance is a vapour when it is in equilibrium with the substance in another phase, and a gas when there is no liquid or solid present. Therefore, by definition, except at the extremely high pressures mentioned above, any substance above its critical temperature, is a gas. A liquid does not have to boil, nor a solid to sublime (change state directly from solid to vapour/gas-Ed.) to form a vapour. You can draw a serious of lines, plotted on a graph where the x-axis shows volume, and the y-axis shows pressure, which correspond to different temperatures and called isotherms, which demonstrate what will happen to a substance as you increase temperature with a given volume (or pressure). The one with most relevance of course is nitrous oxide...(see here).
Pseudo-critical temperature is the critical temperature of a mixture of gases. In anaesthesia it is commonly used to describe the temperature at which a 50:50 mixture of oxygen and nitrous oxide separates (laminates) forming liquid nitrous oxide and gaseous oxygen, which occurs at (depending on the pressure) temperatures in the range -7 to -5.5 degrees Celsius in cylinders, and lower temperatures in a pipeline (due to lower pressures) at around -20 degrees Celsius.



5 people wanted to say something:
Your definition of pseudocritical temp. is correct but the value you quote is wrong. The temp you give is the laminating temp., the pseudocritical temp of nitrous is around +36 C I believe. This is a common mistake. Note that the pseudocritical cannot, by it's very definition, be affected by ambient pressure. Hence to give a pressure dependent range of pseudocritical temps. does not make sense per se.
Cheers.
Hi Ben,
In the original post I stated what the definition of
pseudocritical temperature was. It is to a mixture of gases what the critical temperature is to single gases.
I tried to clarify that in anaesthesia we do in fact misuse the term somewhat, and
call the laminating temperature the pseudocritical temperature. Petrochemical engineers and chemists would almost certainly agree with this.
Let me be more precise.
Nitrous oxide laminates out of a mixture of 50% Oxygen and
50% Nitrous Oxide at a temperature of (to 1 decimal place)
-5.5 degrees Celsius.
The calculated pseudocritical temperature, which can be
found using W.B.Kay's rule (published in 1936 in
Industrial and Engineering Chemistry journal) would be
-40.8 degrees Celsius. (Oxygen has a critical temperature
-118.6 and Nitrous Oxide a critical temperature of 36.4
degrees Celsius). The reality is that at -5.5 degrees Celsius, nitrous oxide
laminates out of such a mixture.
As for the fact that I have quoted a range of temperatures, the laminating temperature WILL vary with pressure, because it's not a critical temperature...
PS: If you want, I can provide details of the references for this information.
Hi,
Thanks for that. I agree with everything that you say. The term pseudocritical temp is, if one wants to be pedantic, misused in anaesthesia
Note that I accidentally stuck the wrong critical temp (for nitrous!) in the original post. Also a classic exam error...........!
i am working on mathematical model on diffusivity and thermal stability of 50:50 nitrous oxide and oxygen gas mix in cylinders at 140 kg/cm2 pressure. Pl provide details of W.B.Kay's rule and references. Also let me know how the lamination temp of - 5.5 deg C arrived at. By experiment? if so,pl give the reference of the same for full understanding.
thanks in advance.
malfriendz@gmail.com
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