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{:("Element",DeltaiH1^(Theta),DeltaiH2^(...

`{:("Element",Delta_iH_1^(Theta),Delta_iH_2^(Theta),"DeltaegH_1^0),(I,1681,3374,-328),(II,1008,1846,-295),(III,2372,5251,+48):}`
(a) The most reactive non-metal.
(b) The least reactive non-metal.
(c) The least reactive element. Give reasons also.

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To solve the problem, we need to analyze the data provided for the three elements based on their ionization enthalpies and electron gain enthalpy. We will identify the most reactive non-metal, the least reactive non-metal, and the least reactive element. Given data: - Element I: ΔiH₁⁰ = 1681, ΔiH₂⁰ = 3374, ΔegH₁⁰ = -328 - Element II: ΔiH₁⁰ = 1008, ΔiH₂⁰ = 1846, ΔegH₁⁰ = -295 - Element III: ΔiH₁⁰ = 2372, ΔiH₂⁰ = 5251, ΔegH₁⁰ = +48 ### Step 1: Identify the Most Reactive Non-Metal To find the most reactive non-metal, we look for the element with the highest (most negative) electron gain enthalpy (ΔegH₁⁰). This indicates that the element can gain electrons easily, which is characteristic of reactive non-metals. - For Element I: ΔegH₁⁰ = -328 - For Element II: ΔegH₁⁰ = -295 - For Element III: ΔegH₁⁰ = +48 **Conclusion**: Element I has the most negative electron gain enthalpy (-328), making it the most reactive non-metal. ### Step 2: Identify the Least Reactive Non-Metal The least reactive non-metal will have a less negative electron gain enthalpy compared to the most reactive non-metal. We look for the element with the least negative value (or the least energy released upon gaining an electron). - Element I: ΔegH₁⁰ = -328 (most reactive) - Element II: ΔegH₁⁰ = -295 (less negative) - Element III: ΔegH₁⁰ = +48 (positive) **Conclusion**: Element II has the least negative electron gain enthalpy (-295), making it the least reactive non-metal. ### Step 3: Identify the Least Reactive Element The least reactive element will have a positive electron gain enthalpy, indicating that it does not favor gaining electrons. Additionally, it will have a high ionization enthalpy, meaning it does not easily lose electrons. - For Element III: ΔegH₁⁰ = +48 (positive) and ΔiH₁⁰ = 2372 (high) **Conclusion**: Element III is the least reactive element because it has a positive electron gain enthalpy and a high ionization enthalpy. ### Final Answers: (a) Most reactive non-metal: **Element I** (b) Least reactive non-metal: **Element II** (c) Least reactive element: **Element III**
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