A helium balloon has a volume of 55.0 liters at 37.2 celsius and 648 mm Hg atmosphere of pressure....?

2016-04-26 4:58 am
To what volume will the balloon expand if it rises to an altitude where the pressure is 0.764 atm and the temp is -14.5 cesius?

回答 (1)

2016-04-26 5:23 am
Original: P₁ = 648/760 atm, V₁ = 55.0 L, T₁ = (273.2 + 37.2) K
After change: P₂ = 0.764 atm, V₂ = ? L, T₂ = (273.2 - 14.5) K

P₁V₁/T₁ = P₂V₂/T₂
V₂ = V₁ × (P₁/P₂) × (T₂/T₁)
V₂ = 55.0 × [(648/760)/0.764] × [(273.2 - 14.5)/(273.2 + 37.2)] L
V₂ = 51.2 L

The balloon will contract to a volume of 51.2 L.


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