The quantum mechanical model of the hydrogen atom requires that if the orbital quantum number of the hydrogen atom is 4, there will be how many permitted orbital magnetic quantum numbers will be:

-4, -3, -2, -1, 0, 1, 2, 3, 4  

Explanation:

There are four sets of quantum numbers;

1) principal quantum number (n)

2)orbital quantum number (l)

3) magnetic quantum number (ml)

4) Spin quantum number (s)

These quantum numbers describes the probability of finding the electron within the atom.

The values of the magnetic quantum number depends on the orbital quantum number. The range of values of the magnetic quantum number is -l to +l

Hence, if the orbital quantum number of the hydrogen atom is 4, the permitted orbital magnetic quantum numbers will be; -4, -3, -2, -1, 0, 1, 2, 3, 4.  

molecules are free to separate from each other and will take on the shape of the container. molecules move completely at random and high speeds. they vibrate in a fixed position and do not move around much. molecules expand to the edge of their container.