A spherical balloon has a diameter of 0.2m and contains air at a pressure of 1.2bar. Due to heating the diameter of the balloon increases to a value of 0.25m, during this process the air pressure is proportional to the diameter of the balloon. Calculate the expansion work done by the air.

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A spherical balloon has a diameter of 0.2m and contains air at a pressure of 1.2bar. Due to heating the diameter of the balloon increases to a value of 0.25m, during this process the air pressure is proportional to the diameter of the balloon. Calculate the expansion work done by the air.

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Can you explain how did you derive that Work formula? I haven't seen it before for this kind of problem and it is confusing me.

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