Match the elements with their corresponding `IE_1`.
`{:("Column-I","Column-II"),((P) N ,(1) +800),((Q) O,(2) +900),((R) Be,(3) +1300),((S) B ,(4) +1400):}`

Options

A. `{:(P,Q,R,S),(2,3,1,4):}`
B. `{:(P,Q,R,S),(1,2,3,4):}`
C. `{:(P,Q,R,S),(4,3,2,1):}`
D. `{:(P,Q,R,S),(1,4,2,3):}`

Answer

To solve the problem of matching elements with their corresponding first ionization energies (IE₁), we will analyze the elements provided: Nitrogen (N), Oxygen (O), Beryllium (Be), and Boron (B). We will determine their first ionization energies based on their electronic configurations and periodic trends.

### Step-by-Step Solution:

1. **Identify the Elements and Their Electronic Configurations**:
- Nitrogen (N): Electronic configuration is 1s² 2s² 2p³.
- Oxygen (O): Electronic configuration is 1s² 2s² 2p⁴.
- Beryllium (Be): Electronic configuration is 1s² 2s².
- Boron (B): Electronic configuration is 1s² 2s² 2p¹.

2. **Understand Ionization Energy**:
- Ionization energy is the energy required to remove the outermost electron from an atom. Generally, ionization energy increases across a period (left to right) and decreases down a group (top to bottom) in the periodic table.

3. **Analyze the Size and Stability**:
- As we move from left to right in the periodic table, the atomic size decreases, leading to higher ionization energies because the outermost electrons are held more tightly by the nucleus.
- Beryllium (Be) has a stable full outer shell (2s²), making it harder to remove an electron compared to Boron (B), which has one less electron in its outer shell (2s² 2p¹).

4. **Rank the Elements Based on Ionization Energy**:
- Beryllium (Be) has the highest ionization energy due to its stable configuration.
- Nitrogen (N) has a half-filled stable configuration (2p³), which also requires a higher ionization energy than Oxygen (O).
- Oxygen (O) has a higher ionization energy than Boron (B) due to its smaller atomic size and greater nuclear charge.

5. **Assign the Values**:
- Based on the analysis:
- Beryllium (Be) has the highest IE₁, which corresponds to (3) +1300 kJ/mol.
- Nitrogen (N) has the next highest IE₁, which corresponds to (4) +1400 kJ/mol.
- Oxygen (O) comes next, which corresponds to (2) +900 kJ/mol.
- Boron (B) has the lowest IE₁, which corresponds to (1) +800 kJ/mol.

6. **Final Matching**:
- P (N) matches with (4) +1400 kJ/mol.
- Q (O) matches with (2) +900 kJ/mol.
- R (Be) matches with (3) +1300 kJ/mol.
- S (B) matches with (1) +800 kJ/mol.

### Final Answer:
- P → 4
- Q → 2
- R → 3
- S → 1