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Consider the ground state of Cr atom (Z = 24). The numbers of electrons with the azimuthal quantum numbers, l = 1 and 2 are, respectively :
- a)12 and 4
- b)12 and 5
- c)16 and 4
- d)16 and 5
Correct answer is option 'B'. Can you explain this answer?
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Consider the ground state of Cr atom (Z = 24). The numbers of electron...
Ground state of Cr atom
The atomic number of Cr (Chromium) is 24, which means it has 24 electrons. In the ground state, these electrons are distributed in different energy levels and orbitals according to the aufbau principle and the Pauli exclusion principle.
Azimuthal Quantum Number (l)
The azimuthal quantum number (l) determines the shape of the atomic orbital and can have values from 0 to (n-1), where n is the principal quantum number. The value of l also determines the subshell of the electron.
Electrons with l = 1
For the ground state of Cr, we need to determine the number of electrons with the azimuthal quantum number l = 1. This corresponds to the p subshell. In the ground state, the electron configuration of Cr is: 1s² 2s² 2p⁶ 3s² 3p⁶ 4s¹ 3d⁵.
To find the number of electrons with l = 1, we look at the 2p subshell. The 2p subshell can hold a maximum of 6 electrons (2p⁶), but in the ground state of Cr, there are only 4 electrons in the 2p subshell.
Electrons with l = 2
Similarly, we need to determine the number of electrons with the azimuthal quantum number l = 2. This corresponds to the d subshell. In the ground state, the electron configuration of Cr is: 1s² 2s² 2p⁶ 3s² 3p⁶ 4s¹ 3d⁵.
To find the number of electrons with l = 2, we look at the 3d subshell. The 3d subshell can hold a maximum of 10 electrons (3d¹⁰), but in the ground state of Cr, there are only 5 electrons in the 3d subshell.
Answer
Therefore, the numbers of electrons with the azimuthal quantum numbers l = 1 and 2 in the ground state of Cr are 4 and 5, respectively. Hence, the correct answer is option 'B' (12 and 5).
The atomic number of Cr (Chromium) is 24, which means it has 24 electrons. In the ground state, these electrons are distributed in different energy levels and orbitals according to the aufbau principle and the Pauli exclusion principle.
Azimuthal Quantum Number (l)
The azimuthal quantum number (l) determines the shape of the atomic orbital and can have values from 0 to (n-1), where n is the principal quantum number. The value of l also determines the subshell of the electron.
Electrons with l = 1
For the ground state of Cr, we need to determine the number of electrons with the azimuthal quantum number l = 1. This corresponds to the p subshell. In the ground state, the electron configuration of Cr is: 1s² 2s² 2p⁶ 3s² 3p⁶ 4s¹ 3d⁵.
To find the number of electrons with l = 1, we look at the 2p subshell. The 2p subshell can hold a maximum of 6 electrons (2p⁶), but in the ground state of Cr, there are only 4 electrons in the 2p subshell.
Electrons with l = 2
Similarly, we need to determine the number of electrons with the azimuthal quantum number l = 2. This corresponds to the d subshell. In the ground state, the electron configuration of Cr is: 1s² 2s² 2p⁶ 3s² 3p⁶ 4s¹ 3d⁵.
To find the number of electrons with l = 2, we look at the 3d subshell. The 3d subshell can hold a maximum of 10 electrons (3d¹⁰), but in the ground state of Cr, there are only 5 electrons in the 3d subshell.
Answer
Therefore, the numbers of electrons with the azimuthal quantum numbers l = 1 and 2 in the ground state of Cr are 4 and 5, respectively. Hence, the correct answer is option 'B' (12 and 5).
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Consider the ground state of Cr atom (Z = 24). The numbers of electrons with the azimuthal quantum numbers, l = 1 and 2 are, respectively :a)12 and 4b)12 and 5c)16 and 4d)16 and 5Correct answer is option 'B'. Can you explain this answer?
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