A helium balloon is utilized to lift a load of 103 N. The weight of the envelope of the balloon is 50 N and the volume of the helium when the balloon is fully inflated is 29 m3. The atmospheric pressure is 1.00 atm and the temperature of the air is 0°C. The balloon is inflated with a sufficient amount of helium gas that the net upward force on the balloon and its load is 30 N. Neglect any effects due to the changes of temperature as the altitude changes.
1. At what altitude will the balloon be fully inflated?
2. What is the maximum altitude attained with the balloon?