Concept:
The oxidation state (oxidation number) of an element represents the hypothetical charge it would have if all bonds were completely ionic. Some important rules used to determine oxidation states are:
• Oxygen usually has an oxidation state of \( -2 \).
• The sum of oxidation states of all atoms in a neutral molecule is \(0\).
Step 1: Assign oxidation states to known elements.
In the compound \( Cl_2O_7 \), oxygen has an oxidation state of \( -2 \).
There are \(7\) oxygen atoms:
\[
7 \times (-2) = -14
\]
Step 2: Let the oxidation state of chlorine be \(x\).
Since there are \(2\) chlorine atoms:
\[
2x + (-14) = 0
\]
\[
2x = 14
\]
\[
x = +7
\]
Step 3: Interpretation.
Thus, the oxidation state of chlorine in \( Cl_2O_7 \) is \( +7 \).