Consider the successive ionisation energy for an element 'A' . `IE_(1) , IE_(2) , IE_(3) , IE_(4), IE_(5)` are 100 eV , 150 eV , 181eV , 2000 eV , 2200 eV . Select correct statement (s) for element 'A' : a)Element 'A' may be metal b)Element 'A' may from trivalent cation c)Oxide of element 'A' may be amphoteric d)Element 'A' may be non-metal

Options

A. Element 'A' may be metal
B. Element 'a' may form trivalent cation
C. Oxide of element 'A' may be amphoteric
D. Element 'A' may be non-metal

Answer

To solve the question regarding the element 'A' and its successive ionization energies, we will analyze the provided ionization energy values step by step.

### Step 1: Analyze the Ionization Energies
The given ionization energies are:
- IE₁ = 100 eV
- IE₂ = 150 eV
- IE₃ = 181 eV
- IE₄ = 2000 eV
- IE₅ = 2200 eV

From these values, we can see that the first three ionization energies (IE₁, IE₂, IE₃) are relatively low and increase gradually. However, there is a significant jump in the ionization energy from IE₃ (181 eV) to IE₄ (2000 eV). This large increase suggests that after removing three electrons, the element reaches a more stable electron configuration, likely resembling that of a noble gas.

### Step 2: Determine the Possible Characteristics of Element 'A'
1. **Metallic Character**: The low values of the first three ionization energies indicate that it is relatively easy to remove these electrons. This is characteristic of metals, which tend to lose electrons easily to form cations. Therefore, **Element 'A' may be a metal** (Option a).

2. **Trivalent Cation Formation**: Since it is easy to remove three electrons (as indicated by the low IE₁, IE₂, and IE₃), Element 'A' is likely to form a trivalent cation (A³⁺). Thus, **Element 'A' may form a trivalent cation** (Option b).

3. **Amphoteric Oxide**: Elements that can form trivalent cations, such as aluminum, typically have oxides that are amphoteric. This means that the oxide can react with both acids and bases. Therefore, **the oxide of Element 'A' may be amphoteric** (Option c).

4. **Non-metal Character**: The first three ionization energies being low suggests that it is not a non-metal, as non-metals generally have high ionization energies. Therefore, **Element 'A' may not be a non-metal** (Option d).

### Conclusion
Based on the analysis:
- The correct statements for element 'A' are:
- a) Element 'A' may be metal.
- b) Element 'A' may form trivalent cation.
- c) Oxide of element 'A' may be amphoteric.

Thus, the correct options are a, b, and c.