Question

The higher the energy level occupied by an electron in the hydrogen atom, the larger the atom. The diameter of the atom is proportional to n2, where n=1 labels the lowest, or “ground” state, n=3 is the third state, and so on. If the atom’s diameter is 1x10-10m in its lowest energy state, what is its diameter in state number 50? How many unexcited atoms could be fit within this one giant atom?

Answer 1

diameter=1E-10*50^2 according to the problem statement.


numberunexcited=volumeexcited/volumeunexcited.


V=4/3 PI radius^3