Halogen Lamp Gas - Mathematical Coefficients

First, I would think you need to pick a particular halogen gas and then do the thermodynamics. Choose another halogen gas and do the thermodynamics, ad infinitum.

It has been a steep learning curve for me now I realize instead of halogen I should have been concentrating on the element iodine so I have come across as being stupid. My thinking was to design a new power plant running on renewable energy sources. Using the sun to preheat the seawater with optical lenses on top of the pipes and parabolic mirrors on the bottom the seawater would then enter a high pressure pump where it would be treated and diffused into several pipes haven't gotten specifics on that point yet. The next phase is entering an iodine heat chamber I was thinking of using electric arc filaments that would optain electricity from the wind. When the seawater leaves the iodine heat chamber it is a supersteam. The supersteam exits driving a steam turbine that generates electricity using heat recovery techniques you use heat up more seawater. The condensate is distilled into fresh water. Since there is a drought I was thinking of setting up two designs one portable the other permanent. What is the smallest turbine that generates electricity. Until I find out I am like in limbo. I have already contacted a turbine company but got no reaction.

Write a heat flow-out through glass shell equation using only Conductance of gas.Bessel functions here -take Maths dept help if your Physics-heat- dept cannot.

Next : If 450⁰F is steady state equilibrium in ambient room-temp Air - what should be conductance of the Halogen gas inside of shell(ignore ⁰F drop across glass shell thickness) to pass 100Watt out?

Also at 450F What is the Halogen Pressure (Iodine?)---P_h

At p_h and 450F what Hoop Stress = σ_t is working to destroy the glass shell?Shell thickness must first be measured through optics tooling. See how much margin there is to allowable hoop stress.

<My thinking is to create a large halogen heat chamber-->

Your main challenge would be increased value of σ_t that will result in a larger dia bulb.

<am trying to design a new power plant that will meet the demands of our climate change.> . Wish you good progress.

I fail to see how the 2 subjects are linked.

Description of how tungsten-halogen lamps function from IESNA Handbook (abreviated).

The light generation mechanism of t-h lamps is the same as that of common incandescent lamps, except for the halogen regenerative cycle. No practical method of using t-h was available until the development of small-diameter fused quartz envelopes. Iodine was used in the first t-h lamp, today other halogen compounds, predominantly bromine, are used.

The tungsten operates at incandescence, evaporating tungsten off the filament. Normally the tungsten would collect on the bulb wall blackening it. However the temperature of the bulb is high enough so that the tungsten combines with the halogen. The minimum temperature of the bulb must be approximately 260 C (500 F).

The tungsten-halogen compound circulates inside the lamp until it comes in contact with the incandescent filament. The heat of the filament is sufficient to break down the compound into tungsten and halogen, the halogen is then freed to continue its role in the regenerative cycle. The tungsten does not necessarily redeposit on the filament where it evaporated, so eventually the bulb fails. Dimmed tungsten-halogen lamps should periodically be run at full power to clean the tungsten off the bulb wall.