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In the reaction 3Mg + N(2) rarr Mg(3) N(...

In the reaction `3Mg + N_(2) rarr Mg_(3) N_(2)`, Nitrogen is oxidised or reduced.

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To determine whether nitrogen is oxidized or reduced in the reaction \(3Mg + N_2 \rightarrow Mg_3N_2\), we need to analyze the oxidation states of nitrogen before and after the reaction. ### Step-by-Step Solution: 1. **Identify the Reactants and Products:** - Reactants: \(3Mg\) and \(N_2\) - Product: \(Mg_3N_2\) 2. **Determine the Oxidation State of Nitrogen in \(N_2\):** - In elemental form (as in \(N_2\)), the oxidation state of nitrogen is 0. 3. **Determine the Oxidation State of Nitrogen in \(Mg_3N_2\):** - The oxidation state of magnesium (Mg) is +2. - In \(Mg_3N_2\), there are 3 magnesium atoms, contributing a total of \(3 \times (+2) = +6\). - Let the oxidation state of nitrogen be \(x\). Since there are 2 nitrogen atoms, the total contribution from nitrogen is \(2x\). - The overall charge of the compound \(Mg_3N_2\) is neutral (0), so we can set up the equation: \[ 3(+2) + 2x = 0 \] \[ 6 + 2x = 0 \] \[ 2x = -6 \] \[ x = -3 \] - Therefore, the oxidation state of nitrogen in \(Mg_3N_2\) is -3. 4. **Compare the Oxidation States:** - In the reactants, the oxidation state of nitrogen is 0 (in \(N_2\)). - In the products, the oxidation state of nitrogen is -3 (in \(Mg_3N_2\)). 5. **Determine if Nitrogen is Oxidized or Reduced:** - A decrease in oxidation state (from 0 to -3) indicates that nitrogen has gained electrons. - Gaining electrons corresponds to reduction. ### Conclusion: - Therefore, nitrogen is **reduced** in the reaction \(3Mg + N_2 \rightarrow Mg_3N_2\).
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