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How many

(a) sub shells and

(b) electron states are in the n = 2 shell?

How many

(c) sub shells and

(d) electron states are in the n = 5 shell?

Short Answer

Expert verified
  1. There are 2 sub-shells in the n = 2 shell.
  2. There are 8 electron states in the n = 2shell.
  3. There are 5 sub-shells in the n = 5 shell.
  4. There are 50 electron states in the n = 5 shell.

Step by step solution

01

The given data

The given n-values are:

a) n = 2

b) n = 5

02

Understanding the concept of the electronic configuration

A subshell is the energy level of the atom, which is defined by the number, n = 1, 2, 3.....etc.

Similarly, using this n quantum number, we can get the number of electron states using the formula. These stares define the electronic configuration of an atom.

Formula:

The number of electron states of an atom using the quantum number,

Electronstates=2n2 …â¶Ä¦â¶Ä¦â¶Ä¦â¶Ä¦â¶Ä¦â¶Ä¦â¶Ä¦â¶Ä¦.(¾±)

03

a) Calculation of sub shells for n = 2

For the given quantum number, n = 2 there are 2 sub-shells in the electronic configuration.

04

b) Calculation of electron states for n = 2

Using the formula of equation (i), the number of electron states for can be given as:

Electronsstates=2(2)2=8

Hence, there are 8 electron states in the shell.

05

c) Calculation of sub shells for n = 5

For the given quantum number, n = 5 there are 5 sub-shells in the electronic configuration.

06

d) Calculation of electron states for n = 5

Using the formula of equation (i), the number of electron states for can be given as:

Electronsstates=2(5)2=50

Hence, there are 50 electron states in the shell.

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