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a balloon is filled with 80.5L of helium at sea level. if the balloon rises to a height of the atmosphere where the pressure is .55atm what will the new volume of the balloon be?

 May 16, 2014

Best Answer 

 #1
avatar+33665 
+5

Assuming the temperature is the same (which it won't be in reality!) then pressure*volume is constant, so:

80.5*1 = V*0.55  (Taking pressure at sea level as 1 atm)

V = 80.5/0.55 L

$${\mathtt{V}} = {\frac{{\mathtt{80.5}}}{{\mathtt{0.55}}}} \Rightarrow {\mathtt{V}} = {\mathtt{146.363\: \!636\: \!363\: \!636\: \!363\: \!6}}$$  L

V ≈ 146.4L

 May 16, 2014
 #1
avatar+33665 
+5
Best Answer

Assuming the temperature is the same (which it won't be in reality!) then pressure*volume is constant, so:

80.5*1 = V*0.55  (Taking pressure at sea level as 1 atm)

V = 80.5/0.55 L

$${\mathtt{V}} = {\frac{{\mathtt{80.5}}}{{\mathtt{0.55}}}} \Rightarrow {\mathtt{V}} = {\mathtt{146.363\: \!636\: \!363\: \!636\: \!363\: \!6}}$$  L

V ≈ 146.4L

Alan May 16, 2014

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