# A hot-air balloon consists of a basket hanging beneath a large envelope filled with hot air. A typical hot-air balloon has a total mass of 545 kg, including passengers in its basket, and holds 2.55 x 103 m3 of hot air in its envelope. If the ambient air density is 1.25 kg/m3 , determine the density of hot air inside the envelope when the balloon is neutrally buoyant. Neglect the volume of air displaced by the basket and passengers.

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A hot-air balloon consists of a basket hanging beneath a large envelope filled with hot air. A typical hot-air balloon has a total mass of 545 kg, including passengers in its basket, and holds 2.55 x 103 m3 of hot air in its envelope. If the ambient air density is 1.25 kg/m3 , determine the density of hot air inside the envelope when the balloon is neutrally buoyant. Neglect the volume of air displaced by the basket and passengers.

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Step 1

The forces acting on the system are the buoyant force acting upward, the weight of the basket acting downward and the weight of the hot air acting...

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