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In: Mechanical Engineering

A rigid tank A is connected to a spherical and elastic balloon B. Each contains air...

A rigid tank A is connected to a spherical and elastic balloon B. Each contains air at an ambient temperature of 25 ° C. The volume of tank A is 0.1 m3 and the initial absolute pressure is
300 kPa. The initial diameter of the balloon is 0.5 m and the internal absolute pressure is 100 kPa. The tap connecting A and B is opened and left open. It can be assumed that the pressure inside the balloon is directly proportional to the diameter of the balloon and that the final air temperature therein is uniform at 25 ° C. Determine the final pressure in the system and the final volume of the balloon.

ans: Pfinal = 137 kPa Vfinal= 0,167 m3

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