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The ionisation potential of hydrogen atom is 13.6 eV. The first ionisation potential of a sodium atom, assuming that the energy of its outer electron can be represented by a H-atom like model with an effective nuclear charge of 1.84, is
  • a)
    46.0 eV
  • b)
    11.5 eV
  • c)
    5.1 eV
  • d)
    2.9 eV
Correct answer is option 'C'. Can you explain this answer?
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The ionisation potential of hydrogen atom is 13.6 eV. The first ionisa...

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The ionisation potential of hydrogen atom is 13.6 eV. The first ionisa...
The ionisation potential of an atom is the energy required to remove an electron from the atom. In the case of hydrogen, the ionisation potential is given as 13.6 eV. We are asked to determine the first ionisation potential of a sodium atom, assuming that the energy of its outer electron can be represented by a hydrogen-like model with an effective nuclear charge of 1.84.

To solve this problem, we can use the equation for the ionisation potential of a hydrogen-like atom:

Ionisation Potential = (Z^2) * (13.6 eV)

where Z is the effective nuclear charge.

Let's calculate the first ionisation potential of a sodium atom using this equation.

Given:
Ionisation potential of hydrogen atom (IP H) = 13.6 eV
Effective nuclear charge of sodium atom (Z) = 1.84

Solution:
Ionisation Potential of sodium atom (IP Na) = (Z^2) * (IP H)
= (1.84^2) * (13.6 eV)
= 5.1 eV

Therefore, the first ionisation potential of a sodium atom, assuming an effective nuclear charge of 1.84, is 5.1 eV.

Explanation:
- The ionisation potential is the energy required to remove an electron from an atom.
- The ionisation potential of a hydrogen atom is given as 13.6 eV.
- To calculate the ionisation potential of a sodium atom, we use the equation: Ionisation Potential = (Z^2) * (13.6 eV), where Z is the effective nuclear charge.
- In this case, the effective nuclear charge of the sodium atom is given as 1.84.
- Plugging in the values, we find that the first ionisation potential of a sodium atom is 5.1 eV.
- This means that it requires 5.1 eV of energy to remove an electron from a sodium atom in the outermost shell, assuming the electron behaves like a hydrogen atom with an effective nuclear charge of 1.84.

Therefore, option C, 5.1 eV, is the correct answer.
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The ionisation potential of hydrogen atom is 13.6 eV. The first ionisation potential of a sodium atom, assuming that the energy of its outer electron can be represented by a H-atom like model with an effective nuclear charge of 1.84, isa)46.0 eVb)11.5 eVc)5.1 eVd)2.9 eVCorrect answer is option 'C'. Can you explain this answer?
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