The air-release flap on a hot-air balloon is used to

Chapter 5, Problem 127P

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The air-release flap on a hot-air balloon is used to release hot air from the balloon when appropriate. On one hot-air balloon, the air release opening has an area of \(0.5 \mathrm{~m}^{2}\), and the filling opening has an area of \(1 \mathrm{~m}^{2}\). During a two minute adiabatic flight maneuver, hot air enters the balloon at \(100 \mathrm{kPa}\) and \(35^{\circ} \mathrm{C}\) with a velocity of \(2 \mathrm{~m} / \mathrm{s}\); the air in the balloon remains at \(100 \mathrm{kPa}\) and \(35^{\circ} \mathrm{C}\); and air leaves the balloon through the air-release flap at velocity \(1 \mathrm{~m} / \mathrm{s}\). At the start of this maneuver, the volume of the balloon is \(75 \mathrm{~m}^{3}\). Determine the final volume of the balloon and work produced by the air inside the balloon as it expands the balloon skin.

Equation Transcription:

35°C

Text Transcription:

0.5 m^2

1 m^2

100 kPa

35 degree celsius

2 m/s

75 m^3

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