You are a maker of hot air balloons and wish to construct a balloon that will lift you and a friend to places unknown. Your standard balloon design is a perfectly spherical, nylon fabric balloon with a small hole on the bottom for the burner that heats the air. Nylon starts to degrade if the air temperature exceeds 120o C, so you don't want to exceed this temperature for your hot air. What is the minimum radius in meters you need for your balloon?

Question

Details and assumptions
You, your friend, the balloon, the burner, and the basket have a total mass of 300 kg.
The ambient pressure is 1 atm=101,325 Pa and the temperature of the surrounding air is 20o C.
Air has a molar mass of μ=29 g/mol.

Answer 1

12.3

Answer 2

You are wrong hgj.

Answer 3

11.8