Balloons the chemistry of the atmosphere are some of the technicalities of ballooning by using the ideal gas law. suppose your balloon has a radius of 3.00 m, that it is spherical, and that it has an unfilled mass of 12.0 kg. what amount (in moles) of hydrogen gas (h2) is needed to inflate the balloon a. to a pressure of 1.00 atm in an ambient temperature of 25.0 °c at sea level? b what payload (mass) can the balloon lift at sea level, where the density of air is 1 22 kg m32 (hint: from the archimedes principle, the payload is equal to the difference between the weight of the displaced air and the weight of the filled balloon.) c. what would be the payload if helium gas (he) was used instead of hydrogen gas?