Solved: A spherical hot-air balloon is initially filled

Chapter 5, Problem 511

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QUESTION:

A spherical hot-air balloon is initially filled with air at  and  with an initial diameter of . Air enters this balloon at  and  with a velocity of  through a 1-m diameter opening. How many minutes will it take to inflate this balloon to a 15-m diameter when the pressure and temperature of the air in the balloon remain the same as the air entering the balloon?

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QUESTION:

A spherical hot-air balloon is initially filled with air at  and  with an initial diameter of . Air enters this balloon at  and  with a velocity of  through a 1-m diameter opening. How many minutes will it take to inflate this balloon to a 15-m diameter when the pressure and temperature of the air in the balloon remain the same as the air entering the balloon?

ANSWER:

Step 1 of 6

A spherical hot-air balloon is considered. The time it takes to inflate the balloon is to be determined.

We assume that air is an ideal gas.

 The gas constant of air is  (Table A-1).

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