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Calculate the effective nuclear charge e...

Calculate the effective nuclear charge experienced by the `4s`-electron in potassium atom `(Z = 19)`.

Text Solution

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The electronic of `K` is `1s^(2), 2s^(2)2p^(6), 3s^(2)3p^(6), 4s^(1)`, and this atom has `4` shells in it. Therefore,
`(Z_(eff))_(4s) = Z-sigma`
`sigma = ((0.85 xx "number of electrons in" (n-1)th),(shell + 1.00 xx "total number of electrons"),("in the inner shell"))`
`= 0.85 xx 8+1.00 xx 10`
`= 16.80`
Hence, `Z_(eff) = Z-sigma=19-16.80`
`= 2.20`
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Knowledge Check

  • Effective nuclear charge depends upon

    A
    the shielding effect
    B
    the atomic number
    C
    the charge on the nucleus
    D
    both the nuclear charge and the shielding effect.

  • The order of effective nuclear charge is

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    B
    `LI gt Na gt K gt Rb`
    C
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    D
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  • The order of effective nuclear charge is

    A
    `Li lt Na lt K lt Rb`
    B
    `Li gt N a gt K gt Rb`
    C
    `Li lt K lt Na lt Rb`
    D
    `Li lt Rb lt K lt Na `

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