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Electromagnetic radiation of wavelength `242` nm is just sufficient to ionise a sodium atom. Calculate the energy corresponding to this wavelength and the ionisation potential of Na.

Text Solution

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Energy associated with a photon of 242nm =`(6.62xx10^(-34)xx3.0xx10^(8))/(242xx10^(-9)`=`8.21xx10^(-19)("joule")`
`because` 1atom of Na for ionisation requires `=8.21xx10^(-19)J`
`therefore6.023xx10^(23) ` atoms of Na for ionisation requires `=8.21xx10^(19)xx6.023xx10(23)`
`=49.45xx10(4)J`=`494.5 KJ mol_(-1)`
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Knowledge Check

  • An Electro magnetic radiation of wavelength 484 nm is just sufficient of ionise a sodium atom. Calculate the ionisation energy of sodium in kJ/mo, approximately?

    A
    `494.5`
    B
    `246.9`
    C
    `989.0`
    D
    `794.5`
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