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The number of subshells is always equal ...

The number of subshells is always equal to the order of the orbit.

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To determine whether the statement "The number of subshells is always equal to the order of the orbit" is true or false, we can analyze the relationship between subshells and orbitals step by step. ### Step-by-Step Solution: 1. **Understanding Orbitals and Subshells**: - Orbitals are regions in an atom where there is a high probability of finding electrons. They are defined by quantum numbers. - Subshells are subdivisions of electron shells (or energy levels) and are characterized by the angular momentum quantum number (l). 2. **Quantum Numbers**: - The principal quantum number (n) indicates the energy level or shell. - The angular momentum quantum number (l) defines the shape of the orbital and can take values from 0 to (n-1). - Each value of l corresponds to a different subshell (e.g., l=0 is s, l=1 is p, l=2 is d, l=3 is f). 3. **Determining the Number of Subshells**: - The number of subshells in a given principal energy level (n) is equal to n. For example: - For n=1: l can be 0 (1s) → 1 subshell - For n=2: l can be 0, 1 (2s, 2p) → 2 subshells - For n=3: l can be 0, 1, 2 (3s, 3p, 3d) → 3 subshells - For n=4: l can be 0, 1, 2, 3 (4s, 4p, 4d, 4f) → 4 subshells 4. **Relationship Between Subshells and Orbitals**: - The number of orbitals in a subshell is given by the formula: \[ m = 2l + 1 \] - Here, m represents the number of orbitals corresponding to a particular subshell (l). 5. **Conclusion**: - The number of subshells is equal to the principal quantum number (n), not directly to the order of the orbit. - Therefore, the statement "The number of subshells is always equal to the order of the orbit" is **False**.
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