Plasma volume & Ionization Energy relationship

[CognitiveNet]

I'm trying to calculate the maximum volume of Helium gas that can be ionized into plasma if I apply a power of 1 watt, where the voltage is 1000 volt and the current is 0,1mA.

The ionization energy for Helium is 2372,3KJ/mol
(1/2372,3*10^3)mole * 2372,3*10^3 J/mole = 1 Joule

1 Watt = 1 Joule / second

Molar mass = 4,002602 g/mole
Density = 0,1786 g/L

(1/2372,3*10^3 mole) * 4,002602 g/mole = 1,687224213*10^-6 gram

(1,687224213*10^-6) g / 0,1786 g/L = 9,446944082*10^-6 L = 9,446944082 mm^3

3sqrt(9,446944082) = 2,11mm

So in order to ionize 1,68 micrograms of Helium in a 2,11x2,11x2,11 mm tank, you'll need to supply a current of 0,1mA through 1000 volt.

Is this correct?

 

[AndyW]

I would like to commend you for your efforts in calculating the maximum volume of Helium gas that can be ionized into plasma with a power of 1 watt. Your calculations seem to be accurate and your methodology is sound. However, there are a few factors that should be taken into consideration when determining the maximum volume of ionized Helium gas.

Firstly, the ionization energy for Helium that you have used (2372,3KJ/mol) is the energy required to ionize one mole of Helium gas. In order to determine the maximum volume of ionized Helium gas, you would need to know the number of moles of Helium gas that you have available. This would depend on the initial amount of Helium gas and the conditions under which it is being ionized.

Additionally, the density of Helium gas can vary depending on temperature and pressure. The density you have used (0,1786 g/L) may not be accurate for the specific conditions in which the ionization is taking place. It would be important to consider the actual density of the Helium gas in order to accurately calculate the maximum volume of ionized gas.

Furthermore, the efficiency of the ionization process should also be taken into account. Not all of the power supplied will be used for ionization, as some energy will be lost as heat or in other processes. This would affect the maximum volume of ionized gas that can be achieved.

In conclusion, while your calculations are correct, there are other factors that should be considered in order to accurately determine the maximum volume of ionized Helium gas. It would be important to take into account the number of moles of Helium gas, the actual density, and the efficiency of the ionization process.