Consider a ballon of 20 metrer diameter that carries three people, 70 kg each (see Figure 3). When enpty the ballon with its cage has a mass of 80 kg. The balloon is hanging still in the air at a location where the atmospheric pressure and temperature are 90 kPa and 158°C, respectively. Determine the average temperature of the air in the balloon. Take gas constant of air, R = 0.287 kPa.m3/kg.K. Consider the necessary assumptions. (b) Discuss only intutively about the
In contrast to the old balloons that works with helium gas, recently hot air balloons have become popular (Figure Q3). Usually hot air balloons range from 15 to 25 meter diameter. Hot air balloons work with the burner to heat the air inside the balloon. The buoyancy force that pushes the balloon upward is proportional to the density of the cooler air outside the balloon and the volume of the balloon, and can be expressed as (see picture 1 for the formula) where, g is the gravitational acceleration.
(a) Consider a ballon of 20 metrer diameter that carries three people, 70 kg each (see Figure 3). When enpty the ballon with its cage has a mass of 80 kg. The balloon is hanging still in the air at a location where the atmospheric pressure and temperature are 90 kPa and 158°C, respectively. Determine the average temperature of the air in the balloon.
Take gas constant of air, R = 0.287 kPa.m3/kg.K.
Consider the necessary assumptions.
(b) Discuss only intutively about the trend of required temperature of the ballon if the atmospheric air temperature dropes from the initial value, and answer the reason why.
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