3. Consider a hot-air balloon with fixed volume VB = 1.l m³. The mass of the balloon envelope, whose volume is to be neglected in comparison to VB, is mL = 0.187 kg. The balloon shall be started, where the external air temperature is T1 = 20°C and the normal
3. Consider a hot-air balloon with fixed volume VB = 1.l m³. The mass of the balloon envelope, whose volume is to be neglected in comparison to VB, is mL = 0.187 kg. The balloon shall be started, where the external air temperature is T1 = 20°C and the normal
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Transcribed Image Text:1.1 m3. The mass of the balloon
3. Consider a hot-air balloon with fixed volume VB
envelope, whose volume is to be neglected in comparison to VB, is mL
balloon shall be started, where the external air temperature is T = 20°C and the normal
0.187 kg. The
Transcribed Image Text:external air pressure is po = 1.013 x 105 Pa. Under these conditions the density of air
is pi = 1.2 kg/m³. Take g
same as the outside pressure except for part (c).
= 9.81 m.s-2. Assume that the pressure in the balloon is the
(a) What temperature T, must the warmed air inside the balloon have to make the
balloon just float?
(b) First the balloon is held fast to the ground and the internal air is heated to a steady-
state temperature of T3
the force on the rope.
110°C. The balloon is fastened with a rope. Calculate
(c) Consider the balloon being tied up at the bottom (the density of the internal air
stays constant). With a steady-state temperature T3
the balloon rises in an isothermal atmosphere of 20°C and a ground pressure of
1.013 x 105 Pa. Which height h can be gained by the balloon under these
110°C of the internal air
Po =
conditions?
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