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January 25, 2015

January 25, 2015

Posted by **Jenny** on Wednesday, July 13, 2011 at 7:08pm.

The combined weight of the pilot basket together with that of the balloon fabric and other equipment is W.

The volume of the hot air inside the balloon when it is inflated is V.

The absolute temperature of the hot air at the bottom of the balloon is T_h (where T_h is greater than T_c ).

The absolute temperature of the cold air outside the balloon is T_c and its density is p_c .

The balloon is open at the bottom, so that the pressure inside and outside the balloon is the same.

As always, treat air as an ideal gas.

Use g for the magnitude of the acceleration due to gravity.

Part A

What is the density p_h of hot air inside the balloon? Assume that this density is uniform throughout the balloon.

Express the density in terms of T_h, T_c, and p_c.

- Physics -
**Jackson**, Monday, November 17, 2014 at 12:30pmp_h = p_c * (T_c / T_h)

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