**Demonstrating the Number of Sets of Quantum Numbers in Hydrogen Atom Quantum Shells**In each of the following cases, demonstrate that \(2n^2\) is the number of sets of quantum numbers (\(n\), \(\ell\), \(m_{\ell}\), \(m_s\)) possible for a hydrogen atom in the \(n\)-th shell. In each case, accomplish this by specifying the number of states in each subshell. Submit the numbers for all subshells, separated by spaces, in the single answer box for each case.(a) \(n = 1\)- Input: `2`- Status: ✔️(b) \(n = 2\)- Input: `1 2 2`- Status: ❌(c) \(n = 3\)- Input: `2 4 2`- Status: ❌(d) \(n = 4\)- Input: `3 6 2`- Status: ❌(e) \(n = 5\)- Input: `4 8 2`- Status: ❌Each input should reflect the correct configuration of subshell states for the given principal quantum number \(n\). Please review the results for errors and correct any discrepancies to ensure accurate representation of quantum state distributions in hydrogen atoms.**Note:** The "Need Help?" and "Read It" buttons may provide additional guidance and educational resources.

The position and energy of an electron in an atom is described using four quantum number. They are1.…

In each of the following cases, demonstrate that 2n² is the number of sets of quantum numbers (e, m, mg) possible for a hydrogen atom in the n-th shell. In each case, accomplish this by specifying the number of states in each subshell Submit the numbers for all subshells, separated by spaces, in the single answer box for each case. (a) n = 1 2 (b) n = 2 122 (c) n = 3 242 (d) n = 4 362 (e) n = 5 482 X x x x

In each of the following cases, demonstrate that 2n² is the number of sets of quantum numbers (e, m, mg) possible for a hydrogen atom in the n-th shell. In each case, accomplish this by specifying the number of states in each subshell Submit the numbers for all subshells, separated by spaces, in the single answer box for each case. (a) n = 1 2 (b) n = 2 122 (c) n = 3 242 (d) n = 4 362 (e) n = 5 482 X x x x

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Concept explainers

Atomic Structure

The basic structure of an atom is defined as the component-level of atomic structure of an atom. Precisely speaking an atom consists of three major subatomic particles which are protons, neutrons, and electrons. Many theories have been stated for explaining the structure of an atom.

Shape of the D Orbital

Shapes of orbitals are an approximate representation of boundaries in space for finding electrons occupied in that respective orbital. D orbitals are known to have a clover leaf shape or dumbbell inside where electrons can be found.

Question

**Demonstrating the Number of Sets of Quantum Numbers in Hydrogen Atom Quantum Shells**

In each of the following cases, demonstrate that \(2n^2\) is the number of sets of quantum numbers (\(n\), \(\ell\), \(m_{\ell}\), \(m_s\)) possible for a hydrogen atom in the \(n\)-th shell. In each case, accomplish this by specifying the number of states in each subshell. Submit the numbers for all subshells, separated by spaces, in the single answer box for each case.

(a) \(n = 1\)
- Input: `2`
- Status: ✔️

(b) \(n = 2\)
- Input: `1 2 2`
- Status: ❌

(c) \(n = 3\)
- Input: `2 4 2`
- Status: ❌

(d) \(n = 4\)
- Input: `3 6 2`
- Status: ❌

(e) \(n = 5\)
- Input: `4 8 2`
- Status: ❌

Each input should reflect the correct configuration of subshell states for the given principal quantum number \(n\). Please review the results for errors and correct any discrepancies to ensure accurate representation of quantum state distributions in hydrogen atoms.

**Note:** The "Need Help?" and "Read It" buttons may provide additional guidance and educational resources.

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