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Among NH(3), HNO(3), N(2) and Mg(3)N(2) ...

Among `NH_(3), HNO_(3), N_(2)` and `Mg_(3)N_(2)` , the number of molecules having nitrogen in negative oxidation state is :

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To determine the number of molecules among \( NH_3 \), \( HNO_3 \), \( N_2 \), and \( Mg_3N_2 \) that have nitrogen in a negative oxidation state, we will calculate the oxidation state of nitrogen in each compound step by step. ### Step 1: Calculate the oxidation state of nitrogen in \( NH_3 \) 1. **Write the equation for oxidation state**: \[ x + 3(+1) = 0 \] where \( x \) is the oxidation state of nitrogen and the oxidation state of hydrogen is +1. 2. **Solve for \( x \)**: \[ x + 3 = 0 \implies x = -3 \] **Conclusion**: The oxidation state of nitrogen in \( NH_3 \) is -3. ### Step 2: Calculate the oxidation state of nitrogen in \( HNO_3 \) 1. **Write the equation for oxidation state**: \[ +1 + x + 3(-2) = 0 \] where the oxidation state of hydrogen is +1 and that of oxygen is -2. 2. **Solve for \( x \)**: \[ 1 + x - 6 = 0 \implies x - 5 = 0 \implies x = +5 \] **Conclusion**: The oxidation state of nitrogen in \( HNO_3 \) is +5. ### Step 3: Calculate the oxidation state of nitrogen in \( N_2 \) 1. **Write the equation for oxidation state**: \[ 2x = 0 \] since \( N_2 \) is a diatomic molecule of nitrogen. 2. **Solve for \( x \)**: \[ x = 0 \] **Conclusion**: The oxidation state of nitrogen in \( N_2 \) is 0. ### Step 4: Calculate the oxidation state of nitrogen in \( Mg_3N_2 \) 1. **Write the equation for oxidation state**: \[ 3(+2) + 2x = 0 \] where the oxidation state of magnesium is +2. 2. **Solve for \( x \)**: \[ 6 + 2x = 0 \implies 2x = -6 \implies x = -3 \] **Conclusion**: The oxidation state of nitrogen in \( Mg_3N_2 \) is -3. ### Final Count of Molecules with Negative Oxidation State - From the calculations: - \( NH_3 \): -3 - \( HNO_3 \): +5 - \( N_2 \): 0 - \( Mg_3N_2 \): -3 **Molecules with nitrogen in negative oxidation state**: \( NH_3 \) and \( Mg_3N_2 \). **Total count**: 2 molecules. ### Final Answer The number of molecules having nitrogen in a negative oxidation state is **2**. ---

To determine the number of molecules among \( NH_3 \), \( HNO_3 \), \( N_2 \), and \( Mg_3N_2 \) that have nitrogen in a negative oxidation state, we will calculate the oxidation state of nitrogen in each compound step by step. ### Step 1: Calculate the oxidation state of nitrogen in \( NH_3 \) 1. **Write the equation for oxidation state**: \[ x + 3(+1) = 0 \] ...
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