If core electrons completely shielded valence electrons from nuclear charge (i.e., if each core electron reduced nuclear charge by 1 unit) and if valence electrons did not shield one another from nuclear charge at all, what would be the effective nuclear charge experienced by the valence electrons of the following atoms?
(a)-K
(b)-Ca
(c)-O
(d)-C

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M0903

Answer:

The effective nuclear charges experienced by the valence electrons of:

a. K= +1

b. Ca=+2

c. O=+6

d. C=+4

Explanation:

Since one core electron reduces the nuclear charge by 1 unit we know that the nuclear charge =proton number =atomic number. The core electrons are electrons that are not valence electrons hence:

Potassium has 19 protons and 18 core electrons which means it has an effective charge of +1.

Calcium has 20 protons and 18 core electrons which means it has an effective charge of +2.

Oxygen has 8 protons and 2 core electrons which means it has an effective charge of +6.

Carbon  has 6 protons and 2 core electrons which means it has an effective charge of +4.

Effective nuclear charge is the charge experience by the valence electrons in the atom. The effective nuclear charge (Z) is given as:

[tex]Z=\rm Atomic\;number-core \;electrons[/tex]

Computation for the effective nuclear charge

The effective nuclear charge for the following elements is given as:

  • K

The atomic number of K is 19

The number of core electrons is 18

The effective nuclear charge is given as:

[tex]Z=19-18\\Z=+1[/tex]

The effective nuclear charge for K atom is +1.

  • Ca

The atomic number of Ca is 20

The number of core electrons is 18

The effective nuclear charge is given as:

[tex]Z=20-18\\Z=+2[/tex]

The effective nuclear charge for Ca atom is +2.

  • O

The atomic number of O is 8

The number of core electrons is 2

The effective nuclear charge is given as:

[tex]Z=8-2\\Z=+6[/tex]

The effective nuclear charge for O atom is +6.

  • C

The atomic number of C is 6

The number of core electrons is 2

The effective nuclear charge is given as:

[tex]Z=6-2\\Z=+4[/tex]

The effective nuclear charge for C atom is +4.

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