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How many electrons in an atom may have the following quantum numbers?(a) n = 4, (b) n = 3, l = 0

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(a) Total number of electrons in an atom for a value of n = 2n2 ∴ For n = 4, Total number of electrons = 2 (4)2 = 32 The given element has a fully filled orbital as 1s2 2s2 2p6 3s2 3p6 4s2 3d10. Hence, all the electrons are paired. ∴ Number of electrons (having n = 4 and ) = 16 (b) n =...
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(a) Total number of electrons in an atom for a value of n = 2n2

∴ For n = 4,

Total number of electrons = 2 (4)2

= 32

The given element has a fully filled orbital as

1s2 2s2 2p6 3s2 3p6 4s2 3d10.

Hence, all the electrons are paired.

∴ Number of electrons (having n = 4 and ) = 16

(b) n = 3, l = 0 indicates that the electrons are present in the 3s orbital. Therefore, the number of electrons having n = 3 and l = 0 is 2.

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