A spherical balloon of (1 mathrm{~m}) diameter contains a gas at (150 mathrm{kPa}). The gas inside the

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A spherical balloon of \(1 \mathrm{~m}\) diameter contains a gas at \(150 \mathrm{kPa}\). The gas inside the balloon is heated until the pressure reaches \(600 \mathrm{kPa}\). During heating the pressure of the gas inside the balloon is proportional to the cube of the diameter of the balloon. Determine the work done by the gas inside the balloon.

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