How high will a hot air balloon rise if the temperature inside is maintained at 345 K?
Assume that the ambient temperature is 300 K. Assume that the pressure inside and
outside are the same, but the density inside is reduced by heating. It is convenient to
reference the calculation to the temperature of the atmosphere T0 = 300 K. This
temperature corresponds to the density at sea level. To what height does the air balloon
rise? Please give your answer in meters.

Question

How high will a hot air balloon rise if the temperature inside is maintained at 345 K? 
Assume that the ambient temperature is 300 K. Assume that the pressure inside and 
outside are the same, but the density inside is reduced by heating. It is convenient to 
reference the calculation to the temperature of the atmosphere T0 = 300 K. This 
temperature corresponds to the density at sea level. To what height does the air balloon 
rise? Please give your answer in meters.

across · Answer

Oh my goodness! It's Albert Einstein! Can I have your autograph!?

einstein · Answer

If you satisfy me with your explanation. Einstein wants to test new generations ability