How many electrons in an atom can share the quantum numbers l =1 and ms= +½? 2 3 6 8

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### Answers

Explanation:

The quantum numbers given are:

Paulis' exclusion principle states that only two electrons may occupy the same orbital, and that is only if each elecron has opposite spins.

The three first quantum numbers, as those given, determine an orbital. So, as Pauli's exclusion principle only two electrons in one atom can have that same set of quantum numbers.

One of the electrons will have (3, 2, 2, +1/2) and the other (3,2,2,-1/2). The four quantum numbers cannot be the same.

4. Principal and Azimuthal (subsidiary) quantum number

5.Principal, Azimuthal (subsidiary), and magnetic quantum number

6. 10 electrons

7. 32 electrons

8. 36 electrons

Explanation:

4. Principal and Azimuthal (subsidiary) quantum number because in 4d, 4 represent principal quantum number and d- represents azimuthal quantum number (having l- value as 3)

5.Principal, Azimuthal (subsidiary), and magnetic quantum number are the first three because 2 stands for principal, s-for azimuthal (l=0) and magnetic quantum number for s- orbital= 0

6. 10 electrons, because for sublevel with l= 3, is a d-sub-level, and d- can take 10-electrons

7. 32 electrons, using the relationship 2×n^2 for the maximum number of electrons in a shell,

,n= 4 , hence 2×4^2= 32

8. 36 electrons, because n=4 and n= 3 can have the maximum configuration of [Ar]4s^2 3d^10 4p^6

This will sum up to 36- electrons, since Argon has 18 -electrons.

18+2+10+6=36 electrons

Explanation:

If l = 3, the electrons are in an f subshell.

The number of orbitals with a quantum number l is 2l + 1, so there

are 2×3 + 1 = 7 f orbitals.

Each orbital can hold two electrons, so the f subshell can hold 14 electrons.

Answer : The number of electrons held in n = 2, l = 1 are, 6 electrons

Explanation :

There are 4 quantum numbers :

Principle Quantum Numbers : It describes the size of the orbital. It is represented by n. n = 1,2,3,4....

Azimuthal Quantum Number : It describes the shape of the orbital. It is represented as 'l'. The value of l ranges from 0 to (n-1). For l = 0,1,2,3... the orbitals are s, p, d, f...

Magnetic Quantum Number : It describes the orientation of the orbitals. It is represented as . The value of this quantum number ranges from . When l = 2, the value of will be -2, -1, 0, +1, +2.

Spin Quantum number : It describes the direction of electron spin. This is represented as The value of this is for upward spin and for downward spin.

As we are given that,

(For each sub-shell)

From this we conclude that, there are 3 orbitals and each orbital contains 2 electrons. So, the number of electrons held in an atom are, electrons.

Hence, the number of electrons held in n = 2, l = 1 are, 6 electrons

Answer : The number of electrons in an atom are, 2.

Explanation :

Principle Quantum Numbers : It describes the size of the orbital and the energy level. It is represented by n. Where, n = 1,2,3,4....

Azimuthal Quantum Number : It describes the shape of the orbital. It is represented as 'l'. The value of l ranges from 0 to (n-1). For l = 0,1,2,3... the orbitals are s, p, d, f...

Magnetic Quantum Number : It describes the orientation of the orbitals. It is represented as . The value of this quantum number ranges from . When l = 2, the value of will be -2, -1, 0, +1, +2.

Spin Quantum number : It describes the direction of electron spin. This is represented as The value of this is for upward spin and for downward spin.

As we are given that,

So,

(For each sub-shell)

From this we conclude that, that means there is one orbital that contains two electrons with opposite spin.

Hence, the number of electrons in an atom are, 2.

Answer : The number of electrons in an atom is, 2 electrons

Explanation :

As we know that there are four quantum numbers which are principle quantum number, azimuthal quantum number, magnetic quantum number and spin magnetic quantum number.

The Principle quantum number, n = 3. That means the electron present in the third energy level.

The Azimuthal quantum number, l = 2. That means the electron present in the d sub-shell.

The magnetic quantum number, . That means it shows the 2 electrons present in one of the five 3d orbitals.

Hence, the number of electrons in an atom is, 2 electrons

There 2 electrons in an atom can share the quantum numbers n=2, l=1 and ml=1. The correct answer between all the choices given is the last choice. I am hoping that this answer has satisfied your query about and it will be able to help you.

You are given both the energy level, n = 4, and the subshell, l = 3 on which the electrons reside.

The subshell is given to you by the angular momentum quantum number, l which can take value that ranges from 0 to n − 1

l = 0 → the s-subshell

l = 1 → the p-subshell

l = 2 → the d-subshell

l = 3 → the f-subshell

For n = 4 and l = 3, ml can be -3, -2, -1, 0, +2, +2, and +3.

Each of these can have 2 electrons (+1/2 and -1/2 spin) for a total of 14 electrons.

n - principal quantum number, indicating relative overall energy of each orbital, n=1,2,3,...

l - angular momentum quantum number, shape of the orbital, l = 0,1,...,n−1.

l =1 for the p orbitals.

ml - magnetic quantum number, ml = 0,±1,...,±l.

This is 2px orbital, in every orbital there is two electrons with different spin.