Chapter 5, Problem 4STP

Interpretation Introduction

Interpretation:

The total number of electrons that can reside in the given sublevel needs to be determined.

Concept introduction:

In quantum mechanics and atomic theory, atomic orbitals are mathematical function describing the wave nature of one or two electrons present in an atom. This mathematical function is used for the calculation of finding electron’s probability of an atom in a fix or particular region around the nucleus of atom.

Answer to Problem 4STP

The correct option is C.

Explanation of Solution

The s -orbitals are spherical around the x, y and z planes. The $p$ -orbitals are dumb bell shaped containing three orbitals that are perpendicular to each other. The $d$ orbital are double dumbbell (or two dumbbell) shaped which are perpendicular to each other. There are total five d-orbitals.

The shapes of the s, p and d orbitals are as follows:

From the given figure, orbitals are the part of the x, y and z planes and are dumbbell shaped i.e. p -orbital which contains three sublevels $p_x,p_y,p_z$. Each sublevel has an ability to hold maximum two electrons.

Conclusion

From the given figure, orbitals are dumbbell shaped i.e. p -orbital which contains three sublevels $p_x,p_y,p_z$. Hence, the p -orbital can hold maximum six electrons. Therefore, the correct option is C.