Perfect (ideal) gases
Suppose your balloon has a radius of 3 m and that it is a spere when inflated.
a.) how much H is needed to inflate it to a pressure of 1 atm at an ambient T of 25 celsius @ sea level?
b.) what mass can the balloon lift @sea level, where the density of air is 1.22 kg m^-3 ?
c.) what would be the payload if helium were used instead of hydrogen?
d.) would you and a companion on board, the balloon ascends to 30,000 feet where pressure is 0.28 atm. Assume no volume change, what is the temp (in celsius) at 30,000 feet?