CHE 2A Study Guide - Reagent, Molar Mass, Chemical Equation

Consider a system consisting of a pair of noninteracting electrons confined to a one-dimensional box of length L (extending from x = 0 to x = L). (a) What is the total ground-state energy of this system? (b) What is the only possible value of the total spin quantum number S in the ground-state of this system, which is consistent with the Pauli exclusion principle? (c) Express the ground-state wavefunction for this system as a linear combination of the wavefunctions of a single electron confined within this same box, in a way that is consistent with the fact that electrons are Fermi particles. (d) If you assumed that both electrons are in exactly the same state, so all of their quantum numbers (including spin) were identical, show that the corresponding two-electron wavefunction would necessarily be equal zero (and thus no such state could exist).

Which one of the following sets of quantum numbers is not possible? What is the maximum number of electrons in an atom that can have the following set of quantum numbers? n = 4 l = 3 m_ = -2 m_ = +1/2 A) 0 B) 1 C) 2 D) 6 E) 10 Electrons in an orbital with l = 3 are in a/an A) d orbital. B) f orbital. C) g orbital. D) p orbital. E) s orbital. The number of orbitals in a d subshell is A) 1 B) 2 C)3 D) 5 E) 7 "No two electrons in an atom can have the same four quantum numbers" is a statement of A) the Pauli exclusion principle. B) Bohr's equation. C) Hund's rule. D) de Broglie's relation. E) Dalton's atomic theory. The orbital diagram for a ground-state nitrogen atom is Which ground-state atom has an electron configuration described by the following orbital diagram? A) phosphorus B) nitrogen C) arsenic D) vanadium E) none of these How many unpaired electrons does a ground-state atom of sulfur have? A) 0 B) 1 C) 2 D) 3 E) 4 Which element has the following ground-state electron configuration? [Kr]5s^1 4d^5 A) Mn B) Mo C) Nb D) Re E) Tc The electron configuration of a ground-state copper atom is A) [Ar]4s^2 4d^4 B) [Ar]4s^2 4p^6 3d^3 C) [Ar] 4s^2 3d^9 D) [Ar] 3d^9 E) [Ar]4s^1 3d^10