what is the oxidation # of Nitrogen in NO2^-

what is the oxidation # of Nitrogen in NO2^-

The Correct Answer and Explanation is:

To determine the oxidation state of nitrogen (N) in NO2−\text{NO}_2^-NO2−​, we follow these steps:

Step 1: Assign known oxidation states

  • Oxygen (O) is typically assigned an oxidation state of −2-2−2 in compounds, except in peroxides or when bonded to fluorine.
  • The overall charge on the NO2−\text{NO}_2^-NO2−​ ion is −1-1−1, meaning the sum of the oxidation states of the atoms in the ion must equal −1-1−1.

Step 2: Set up the equation

The ion NO2−\text{NO}_2^-NO2−​ consists of one nitrogen atom and two oxygen atoms. Let the oxidation state of nitrogen be xxx.

  • The oxidation state of each oxygen is −2-2−2, so for two oxygen atoms, the total contribution is 2×(−2)=−42 \times (-2) = -42×(−2)=−4.
  • The total charge on the ion is −1-1−1, so the equation for the sum of the oxidation states is:

x+(−4)=−1x + (-4) = -1x+(−4)=−1

Step 3: Solve for xxx

Now, solve the equation for xxx:x−4=−1x – 4 = -1x−4=−1x=−1+4=+3x = -1 + 4 = +3x=−1+4=+3

Conclusion

The oxidation state of nitrogen in NO2−\text{NO}_2^-NO2−​ is +3+3+3.

Explanation

The oxidation number of nitrogen in this ion is determined by the rule that the sum of the oxidation states in a compound or ion must equal the overall charge. Since each oxygen atom is assigned a typical oxidation state of −2-2−2, and the total charge on the ion is −1-1−1, nitrogen must have an oxidation state of +3+3+3 to balance the equation. Thus, nitrogen in NO2−\text{NO}_2^-NO2−​ is oxidized to an oxidation state of +3+3+3.

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