Chemistry Practice Problems Quantum Numbers Practice Problems Solution: The four quantum numbers most likely associated wi...

Solution: The four quantum numbers most likely associated with the one electron lost in going from Ga to Ga + are:(a) 4, 0, 0, +1/2(b) 3, 2, 1, +1/2(c) 3, 2, 1, -1/2(d) 4, 2, 0, +1/2(e) 4, 1, -1, +1/2

Problem

The four quantum numbers most likely associated with the one electron lost in going from Ga to Ga + are:

(a) 4, 0, 0, +1/2

(b) 3, 2, 1, +1/2

(c) 3, 2, 1, -1/2

(d) 4, 2, 0, +1/2

(e) 4, 1, -1, +1/2

Solution

We’re being asked to determine the four quantum numbers most likely associated with the one-electron lost in going from Ga to Ga + 


Recall that the quantum numbers that define an electron are:


• Principal Quantum Number (n): deals with the size and energy of the atomic orbital

The possible values for n are 1 to ∞.

• Angular Momentum Quantum Number (l): deals with the shape of the atomic orbital

The possible values for l are 0 to (n – 1).

• Magnetic Quantum Number (ml): deals with the orientation of the atomic orbital in 3D space. 

The possible values for ml is the range of l: –l to +l.

• Spin Quantum Number (ms): deals with the spin of the electron. The possible values for ms are either –1/2 (spin down) or +1/2 (spin up).


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