Final answer:
The final volume of the balloon after adding oxygen is 21 L.
Step-by-step explanation:
To find the new volume of the balloon after adding oxygen, we can use Avogadro's law, which states that at constant temperature and pressure, equal volumes of gases contain equal numbers of moles. Initially, the balloon is filled with 4.00 moles of hydrogen in a volume of 21 L. When 2.00 moles of oxygen are added, the total number of moles becomes 6.00 moles. Since the hydrogen and oxygen are now mixed together, their volumes must be equal, so the final volume of the balloon is also 21 L.