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How do you assign oxidation numbers, and how do they reveal what is oxidized and reduced?

Oxidation numbers and redox reactions: assign oxidation numbers using the standard rules, and identify oxidation, reduction, and the oxidizing and reducing agents in a reaction.

A focused Regents Chemistry answer on oxidation numbers and redox: the rules for assigning oxidation states, the meaning of oxidation (loss of electrons) and reduction (gain of electrons), and how to identify the oxidizing and reducing agents.

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  1. What this topic is asking
  2. Assigning oxidation numbers
  3. Oxidation and reduction
  4. Oxidizing and reducing agents
  5. Try this

What this topic is asking

The Core Curriculum asks you to assign oxidation numbers using the standard rules and to use them to identify oxidation (loss of electrons), reduction (gain of electrons), and the oxidizing and reducing agents in a reaction. This is the foundation of the whole redox topic and a steady source of Part A and Part B-2 questions.

Assigning oxidation numbers

These rules let you find the oxidation number of any atom by setting up a simple sum. For an unknown atom in a compound, assign the known values (hydrogen, oxygen, group ions), set the total to the overall charge, and solve. The element with the higher electronegativity in a bond is given the negative oxidation number.

Oxidation and reduction

To decide what is oxidized or reduced, compare each element's oxidation number before and after the reaction. An increase means oxidation; a decrease means reduction. In Zn+Cu2+β†’Zn2++Cu\text{Zn} + \text{Cu}^{2+} \rightarrow \text{Zn}^{2+} + \text{Cu}, zinc goes from 00 to +2+2 (oxidized) and copper goes from +2+2 to 00 (reduced).

Oxidizing and reducing agents

This naming trips many students up. The substance that is reduced is the oxidizing agent, and the substance that is oxidized is the reducing agent. In the zinc-copper example, Cu2+\text{Cu}^{2+} (reduced) is the oxidizing agent and zinc (oxidized) is the reducing agent.

Try this

Q1. Determine the oxidation number of nitrogen in NO3βˆ’\text{NO}_3^-. [1 point]

  • Cue. Oxygen is βˆ’2-2 (3Γ—βˆ’2=βˆ’63 \times -2 = -6); the ion is βˆ’1-1, so N+(βˆ’6)=βˆ’1N + (-6) = -1, giving N=+5N = +5.

Q2. In a reaction, an element's oxidation number decreases. State whether it is oxidized or reduced. [1 point]

  • Cue. Reduced (a decrease in oxidation number means a gain of electrons).

Exam-style practice questions

Practice questions written in the style of NYSED exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.

Regents (Part B-2 style)3 marksIn the reaction Zn+Cu2+β†’Zn2++Cu\text{Zn} + \text{Cu}^{2+} \rightarrow \text{Zn}^{2+} + \text{Cu}: (a) state the oxidation number of zinc before and after the reaction; (b) state which species is oxidized; (c) identify the oxidizing agent.
Show worked answer β†’

A 3-point constructed-response item on a redox reaction.

(a) Zinc oxidation numbers (1 point): zinc metal is 00 (a free element) before, and +2+2 in Zn2+\text{Zn}^{2+} after.
(b) Oxidized (1 point): zinc is oxidized, because its oxidation number increases from 00 to +2+2 (it loses electrons).
(c) Oxidizing agent (1 point): the copper ion Cu2+\text{Cu}^{2+} is the oxidizing agent, because it is reduced (gains electrons, from +2+2 to 00) and thereby causes the zinc to be oxidized.

Markers reward the correct oxidation numbers, identifying zinc's increase as oxidation, and naming the reduced species (Cu2+\text{Cu}^{2+}) as the oxidizing agent.

Regents (Part A style)1 marksWhat is the oxidation number of sulfur in the compound H2SO4\text{H}_2\text{SO}_4? (1) +2+2 (2) +4+4 (3) +6+6 (4) βˆ’2-2
Show worked answer β†’

A 1-point Part A item on assigning oxidation numbers. The answer is (3) +6+6.

Hydrogen is +1+1 (so two hydrogens give +2+2) and oxygen is βˆ’2-2 (so four oxygens give βˆ’8-8). The compound is neutral, so the sum of oxidation numbers is 00: (+2)+S+(βˆ’8)=0(+2) + S + (-8) = 0, giving S=+6S = +6.

Markers reward applying the rules (H is +1+1, O is βˆ’2-2) and solving for sulfur so the total is zero.

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