How Do Altitude, Pressure, and Temperature Affect Airship Gas Dynamics?

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TheUnkown
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Ok i need to know this for an essay I'm doign can someone explain to me the effect that changes in altitude pressure and temperature effect the gas inside the airship?
 
IF pressure drops gas expands if tempreture rises gas expands. So if the tempreture falls propotionaly to the fall in pressure then the gas stays the same volume. However this isn't the case and the pressue falls faster than the tempreture so the gas expands. should help