The number of elements which should be theoreitcally present in `8^(th)` period of the modern long fromof periodic table, is
A
32
B
40
C
50
D
48
Text Solution
AI Generated Solution
The correct Answer is:
To determine the number of elements that should theoretically be present in the 8th period of the modern long form of the periodic table, we can follow these steps:
### Step-by-Step Solution:
1. **Identify the Electron Shells and Orbitals**:
- The 8th period corresponds to the principal quantum number \( n = 8 \).
- The orbitals that will be filled in this period are \( 8s, 5g, 6f, 7d, \) and \( 8p \).
2. **Determine the Number of Elements in Each Subshell**:
- **8s**: This subshell can hold a maximum of 2 electrons.
- **5g**: The g subshell can hold a maximum of 18 electrons (since it has 9 orbitals).
- **6f**: The f subshell can hold a maximum of 14 electrons.
- **7d**: The d subshell can hold a maximum of 10 electrons.
- **8p**: The p subshell can hold a maximum of 6 electrons.
3. **Calculate the Total Number of Elements**:
- Adding the maximum number of electrons from each subshell:
\[
\text{Total} = 2 \, (8s) + 18 \, (5g) + 14 \, (6f) + 10 \, (7d) + 6 \, (8p)
\]
- Performing the addition:
\[
\text{Total} = 2 + 18 + 14 + 10 + 6 = 50
\]
4. **Conclusion**:
- Therefore, the total number of elements that should theoretically be present in the 8th period of the periodic table is **50**.
### Final Answer:
The number of elements which should be theoretically present in the 8th period of the modern long form of the periodic table is **50**.
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