The
envelope and basket of a hot-air balloon have a combined mass of
249 kg, and the envelop has a capacity
of
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Solution: Click For PDF Version Data of the problem are:
volume of the
hot air balloon
combined mass
of basket and envelope
total lift to
achieved
density of
the surrounding air
Let the
density of hot air inside the balloon that provides the required
lift be
From the buoyancy principle, we have
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.
When envelope is fully inflated with the hot
air it provides a lifting capacity of 272 kg
(in addition to its own mass).
Assuming that the surrounding air, at
,
has a density of
,
we have to find the temperature of hot air that provides the required
lift.
and
,
and temperature, T,
is
