Math Problem Statement

Deduce the oxidation state of chlorine in the following disinfectants: HOCl and ClO₂.

Solution

To determine the oxidation state of chlorine in the given disinfectants HOCl and ClO₂, let's analyze them step by step:


1. HOCl (Hypochlorous Acid):

  • The chemical formula is HOCl.
  • Assign oxidation states:
    • Hydrogen (H) = +1
    • Oxygen (O) = -2
    • Let the oxidation state of chlorine (Cl) = x.

The sum of the oxidation states in a neutral compound equals 0. Thus:

(+1)+(x)+(2)=0(+1) + (x) + (-2) = 0

Simplify:

x1=0    x=+1x - 1 = 0 \implies x = +1

Oxidation state of Cl in HOCl is +1.


2. ClO₂ (Chlorine Dioxide):

  • The chemical formula is ClO₂.
  • Assign oxidation states:
    • Oxygen (O) = -2
    • Let the oxidation state of chlorine (Cl) = x.

The sum of the oxidation states in a neutral compound equals 0. There are 2 oxygen atoms, so:

x+2(2)=0x + 2(-2) = 0

Simplify:

x4=0    x=+4x - 4 = 0 \implies x = +4

Oxidation state of Cl in ClO₂ is +4.


Final Answer:

  1. HOCl: Oxidation state of chlorine = +1
  2. ClO₂: Oxidation state of chlorine = +4

Let me know if you'd like detailed explanations or further clarification on oxidation states! Here are some related questions you might want to explore:

  1. How do oxidation states of chlorine vary in different compounds?
  2. Why is chlorine in HOCl a better disinfectant than chlorine in ClO₂?
  3. How can oxidation states be verified experimentally?
  4. What are the roles of oxygen in determining oxidation states?
  5. How do different disinfectants compare in their effectiveness against bacteria?

Tip: When determining oxidation states, always remember that the total sum equals the charge of the molecule or ion. For neutral molecules, it is 0.

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Math Problem Analysis

Mathematical Concepts

Oxidation state calculation
Chemical balancing

Formulas

Sum of oxidation states = charge of the compound
Assign known oxidation states (e.g., H = +1, O = -2)

Theorems

Rule of neutrality for molecules

Suitable Grade Level

Grades 10-12