The mass of a hot-air ballon and its occupants is 300 kg (excluding the hot air inside the balloon). The air outside the balloon has a pressure of 1.01*10^5 Pa and a density of 1.29 kg/m^3. To lift off, the air inside the balloon is heated. The volume of the heated balloon is 700 m^3. The pressure of the heated air remains the same as that of the outside air. To what temperature in kelvins must the air be heated so that the balloon just lifts off? The molecular mass of air is 29u.

The mass of a hot-air ballon and its occupants is 300 kg (excluding the hot air inside the balloon). The air outside the balloon has a pressure of 1.01*10^5 Pa and a density of 1.29 kg/m^3. To lift off, the air inside the balloon is heated. The volume of the heated balloon is 700 m^3. The pressure of the heated air remains the same as that of the outside air. To what temperature in kelvins must the air be heated so that the balloon just lifts off? The molecular mass of air is 29u.

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