Math Problem

I would like the math that would show how you achieve the answer to my question. I will be showing other engineers I also need to be able to understand what you are saying and I am not an engineer. I also want to know how to scale it up and down. What is better to use Helium or Hydrogen and why? How much Hydrogen or Helium will be needed to lift the balloon, BCD, rope, and turn the wheel that is attached by a shaft to the generator? How much Helium or Hydrogen will need to transfer from the balloon to the BCD to allow the balloon to descend? What elevation within the Troposphere will the balloon be able to achieve? The Troposphere extends 8 to 14.5 kilometres from the earth’s surface. Upon the balloon’s ascent, what altitude does the balloon have to reach for the generator (power source B) to have produced the same amount of electricity that was used when Power Source A filled the balloon and charged the BCD? How much Helium or Hydrogen needs to be transferred from the balloon to the BCD to enable the balloon to descend? This is the process and context. Answer the questions within that framework. 1) Power source A charges the Buoyancy Control Device (BCD) using the dock 2) Power source A fills the balloon using the dock a. The Helium or Hydrogen will be used to fill the balloon. 3) Once the balloon has been filled with enough Helium or Hydrogen to lift the balloon, rope, and BCD and turn the generator by using the wheel attached to the rope, the balloon and BCD will detach from the dock and ascend into the Troposphere. a. The Troposphere extends 8 to 14.5 kilometres from the earth’s surface. 4) Once the balloon has ascended as far as it is able, the rope will pull tight. a. The rope being pulled tight will do two things. i. It will activate the BCD. The BCD will transfer from the balloon to the BCD just enough Helium or Hydrogen to allow the balloon to descend. ii. Think of a lawnmower how the rope pulls tight and then lets the pull string wind back up 5) Once the balloon and everything attached to the balloon arrives back at the dock the balloon and BCD will reattach to the dock. 6) Once the Balloon and BCD connect to the dock, Power Source A will charge the BCD and pump the balloon full of Helium or Hydrogen that comes from the BCD. 7) The lifts and repeats steps