question_answer

Assume that the formula to calculate the maximum number of electrons has been changed from \[\text{2}{{\text{n}}^{\text{2}}}\] to\[\text{3}{{\text{n}}^{\text{3}}}\]. If an orbit can accommodate a maximum of 81 electrons, then identify the orbit number.

Answer:

Total number of electrons in the orbit = 81 Orbit number \[(n)=?\] Total no. of electrons \[=81=3{{n}^{3}}\] \[\Rightarrow \] \[{{n}^{3}}=27\text{ }or\text{ }n=3\] Therefore, the orbit that can accommodate 81 electrons is 3.