A hot-air balloon stays aloft because hot air at atmospheric pressure is less dense than cooler air at the same pressure. If the volume of the balloon is 500.0 m^3 and the surrounding air is at 15.0°C. What must the temperature of the air in the balloon be for it to lift a total load of 290 kg (in addition to the mass of the hot air)? The density of air at 15.0°C and atmospheric pressure is 1.23kg/m^3.
Answers: 1
= 290 kg
![$T_{hot}= T_{air}\left[\frac{\rho_{air}}{\rho_{hot}}\right]$](/tpl/images/1357/0326/75d02.png)
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A hot-air balloon stays aloft because hot air at atmospheric pressure is less dense than cooler air...
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