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Question: Answered & Verified by Expert
Calculate the ionisation energy of sodium in kJ mol 1 if electromagnetic radiation of wavelength 242 nm is just sufficient to ionise the sodium atom.
ChemistryStructure of AtomNEET
Options:
  • A 4.946×102
  • B 4.946×103
  • C 4.946×104
  • D 4.946×105
Solution:
1486 Upvotes Verified Answer
The correct answer is: 4.946×102

Ionisation energy is the amount of energy required to remove most loosely bound electron from the isolated gaseous atom.

For the sodium atom, it is equal to the electromagnetic radiation of wavelength  242 nm .

As per the Planck's quantum theory.

The energy required for removing the one-mole electron from the one-mole sodium atoms.

E= hc λ × N A   J mol 1

E= 6.626× 10 34 ×3× 10 8 242× 10 9 ×6.022× 10 23 J  mol 1

E=0.4946× 10 6 J mol 1 E= 4.946× 10 2 kJ mol 1

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