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Expansion of air


Becca

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I am currently studying lightning and the energy transfer which goes with it. I am working on the expansion of the air due to the heating caused by the passage of a stroke of lightning through the air. How fast does a column of an ideal gas expand under known temperature increase?

 

I hope someone can help as I seem to be out of ideas.

 

Becca

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From 0 Deg.C volume increases by 1/273 per degree of temperature.

 

For example- an increase of 1 Deg. would yield a volume of 274/273 of the volume at 0 Deg.

 

Based on Gay-Lussac'sCharle's Law it would the be temperature increase times 1/273 divided by the time the temperature took to increase which should yield the expansion rate in whatever unit of time you use. To just get the overall expansion skip the division. [borrowed and modified from- Practical Mathematics Volume 3 Applied Mathematics-Theory and Practice with Applications to Industrial, Business, and Military Problems- Wm. H. Wise&Co.Inc. C.1951]

 

Hope it helps.

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