A balloon behaves so that the pressure isP=C2V1/3 and C2 =

Chapter 3, Problem 56HP

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QUESTION:

Problem 56HP

A balloon behaves so that the pressure isP=C2V1/3 and C2 = 100 kPa/m. The balloon is blown up with air from a starting volume of 1 m3 to a volume of 4 m3. Find the final mass of air, assuming it is at 25°C, and the work done by the air.

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QUESTION:

Problem 56HP

A balloon behaves so that the pressure isP=C2V1/3 and C2 = 100 kPa/m. The balloon is blown up with air from a starting volume of 1 m3 to a volume of 4 m3. Find the final mass of air, assuming it is at 25°C, and the work done by the air.

ANSWER:

Solution 56HP

Step 1 of 5

In this problem, we have to find the final mass of air the work done by the air. The given data are

   

   is the polytropic index.

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