Concept:
The oxidation state of an element represents the hypothetical charge that an atom would have if all bonds were completely ionic.
To determine oxidation states, we use standard rules:
• Oxygen usually has oxidation state \(-2\).
• The sum of oxidation states in a neutral compound is zero.
Step 1: Assign oxidation states.
Let the oxidation state of chlorine be \(x\).
There are two chlorine atoms and seven oxygen atoms.
Oxygen oxidation state = \(-2\)
Step 2: Write the equation.
\[
2x + 7(-2) = 0
\]
Step 3: Solve for \(x\).
\[
2x - 14 = 0
\]
\[
2x = 14
\]
\[
x = +7
\]
Thus, the oxidation state of chlorine in \(Cl_2O_7\) is +7.