The first `(Delta_(i)H_(1))` and the second `(Delta_(i)H_(2))` ionization enthalpies `(kj mol^(-1))` of three element I, II, III, are given below :
`{:(,,I,,II,,II),(Delta_(i)H_(2) ,,403,,549,,1142),(Delta_(i)H_(2),,2640,,1060,,2080):}`
Identify the element which is the likely to be (a ) non- metal (b) an alkali metal ( c) alkaline earth metal.

Explanation

To identify which element is a non-metal, an alkali metal, and an alkaline earth metal based on the given ionization enthalpy values, we can follow these steps:

### Step 1: Analyze the Ionization Enthalpy Values
The provided ionization enthalpy values are:
- Element I: \( \Delta_i H_1 = 403 \, \text{kJ/mol}, \Delta_i H_2 = 2640 \, \text{kJ/mol} \)
- Element II: \( \Delta_i H_1 = 549 \, \text{kJ/mol}, \Delta_i H_2 = 1060 \, \text{kJ/mol} \)
- Element III: \( \Delta_i H_1 = 1142 \, \text{kJ/mol}, \Delta_i H_2 = 2080 \, \text{kJ/mol} \)

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