Would a bottle of helium gas weigh more or less than an identical bottle filled

Question

Would a bottle of helium gas weigh more or less than an identical bottle filled with air at the same pressure? 1 A helium filled bottle will weigh less than an equal volume of air. A helium filled bottle will weigh more than an equal volume of air. A helium filled bottle will weigh the same as an equal volume of air. Would it weigh more than an identical bottle with the air pumped out? 2 A helium-filled bottle will weigh the same as the empty bottle. A helium-filled bottle will weigh more than the empty bottle. A helium-filled bottle will weigh less than the empty bottle.

Explanation / Answer

PV = nRT V is constant because volume of bottle is fixed. P is also same. Tis assumed to be the same P*V/(RT) = n        Since, P, V, R, and T are constant, both bottles of He and air havethe same number of moles. But each mol of He has a mass of 4 grams Each mol of air (21% O2 and 79% N2) has a mass of 0.21*32 + 0.79*28= 28.8 grams "A helium filled bottle will weight less than an equal volume ofair" Question 2 A helium filled bottle will weigh more than the empty bottle. The empty bottle has no gas inside it; it has no matter inside, soit has no mass (other than the glass which composes the bottle) Thehelium bottle has gas, so it weighs more.

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