A hot air balloon has avolume of 2000 m^3 when fully inflated, and the air insid

Question

A hot air balloon has avolume of 2000 m^3 when fully inflated, and the air inside theballoon is always at atmospheric pressurebecause of the large opening used to fill the balloon and heat theair inside it. What's the mass ofhot air inside the balloon if its temperature is 120°C? (Assumea molecular weight of 28.8 g/molefor air.)

Thanks for any help youcan give. A hot air balloon has avolume of 2000 m^3 when fully inflated, and the air inside theballoon is always at atmospheric pressurebecause of the large opening used to fill the balloon and heat theair inside it. What's the mass ofhot air inside the balloon if its temperature is 120°C? (Assumea molecular weight of 28.8 g/molefor air.)

Thanks for any help youcan give.

Explanation / Answer

PV = nRT <--- Ideal Gas Law n = PV / RT <---- rearrange to find how many moles ofair there are    = (1)(2000) /(8.314)(120+273)    <---- T is in Kelvins,remember...    = 0.6121 mass = moles * molar mass          = 0.6121 *28.8          =17.6 g (final answer)

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