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NEET CHEMISTRYMedium

Which one of the following electrons in the ground state will have the least amount of energy?

A

An electron in hydrogen atom.

B

An electron in 2p orbital of carbon atom.

C

The electron of copper atom present in 4s orbital.

D

The outermost electron in sodium atom.

Step-by-Step Solution

The energy of an electron in an atom is negative, with the value zero corresponding to a free electron at rest. 'Least energy' implies the most negative energy value, corresponding to the most stable and tightly bound state.

  1. Hydrogen (1s): The electron occupies the n=1n=1 shell. The energy of the electron in the ground state of Hydrogen is E1=2.18×1018 JE_1 = -2.18 \times 10^{-18} \text{ J} (or 13.6 eV-13.6 \text{ eV}).
  2. Carbon (2p): The specified electron is in the 2p2p orbital (n=2n=2). Although the nuclear charge (Z=6Z=6) is higher, the shielding by inner 1s1s electrons and the higher principal quantum number raise its energy compared to H(1s1s). The first ionization enthalpy of Carbon is roughly 1086 kJ mol11086 \text{ kJ mol}^{-1} (E11.3 eVE \approx -11.3 \text{ eV}), which is higher (less negative) than Hydrogen.
  3. Sodium (3s): The outermost electron is in the 3s3s orbital (n=3n=3). Due to shielding by inner shells (n=1,2n=1, 2) and the higher nn, it is loosely bound. Its ionization enthalpy is 496 kJ mol1496 \text{ kJ mol}^{-1} (E5.1 eVE \approx -5.1 \text{ eV}).
  4. Copper (4s): The specified electron is in the 4s4s orbital (n=4n=4). Its ionization enthalpy is 745 kJ mol1745 \text{ kJ mol}^{-1} (E7.7 eVE \approx -7.7 \text{ eV}).

Comparing the energy levels, the electron in the Hydrogen atom (n=1n=1) has the most negative energy, thus the least amount of energy.

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