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A spherical balloon contains air at pres...

A spherical balloon contains air at pressure `P_(1)` and is placed in vacuum. It has an initial diameter of `D_(1)`. The balloon is heated until its diameter becomes `D_(2) = 2D_(1)`. It is known that pressure in the balloon is proportional to its diameter. Calculate the work done by the gas in expansion.

Text Solution

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The correct Answer is:
`W = (15 pi)/(4) P_(1)D_(1)^(3)`
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