Oxidation states of which oxides of halogens are not the same?
A. \(ClO_2\)
B. \(Cl_2O_3\)
C. \(BrO_2\)
D. \(I_2O_4\)
E. \(I_2O_5\)
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is option 2. B and E only.
To determine which oxides of halogens have different oxidation states for the halogen, we need to calculate the oxidation state of the halogen in each of the given oxides:
A. \(ClO_2\) (Chlorine dioxide):
Oxygen has an oxidation state of -2.
Let the oxidation state of chlorine be \( x \).
The sum of oxidation states in the compound must equal zero: \( x + 2(-2) = 0 \).
Solving for \( x \): \( x - 4 = 0 \) ⇒ \( x = +4 \).
B. \(Cl_2O_3\) (Chlorine trioxide):
Oxygen has an oxidation state of -2.
Let the oxidation state of chlorine be \( x \).
The sum of oxidation states in the compound must equal zero: \( 2x + 3(-2) = 0 \).
Solving for \( x \): \( 2x - 6 = 0 \) ⇒ \( x = +3 \).
C. \(BrO_2\) (Bromine dioxide):
Oxygen has an oxidation state of -2.
Let the oxidation state of bromine be \( x \).
The sum of oxidation states in the compound must equal zero: \( x + 2(-2) = 0 \).
Solving for \( x \): \( x - 4 = 0 \) ⇒ \( x = +4 \).
D. \(I_2O_4\) (Iodine tetroxide):
Oxygen has an oxidation state of -2.
Let the oxidation state of iodine be \( x \).
The sum of oxidation states in the compound must equal zero: \( 2x + 4(-2) = 0 \).
Solving for \( x \): \( 2x - 8 = 0 \) ⇒ \( x = +4 \).
E. \(I_2O_5\) (Iodine pentoxide):
Oxygen has an oxidation state of -2.
Let the oxidation state of iodine be \( x \).
The sum of oxidation states in the compound must equal zero: \( 2x + 5(-2) = 0 \).
Solving for \( x \): \( 2x - 10 = 0 \) ⇒ \( x = +5 \).
From the calculations:
\(ClO_2\): +4
\(Cl_2O_3\): +3
\(BrO_2\): +4
\(I_2O_4\): +4
\(I_2O_5\): +5
The oxidation states are different in \(Cl_2O_3\) (Chlorine trioxide) and \(I_2O_5\) (Iodine pentoxide).
Thus, the correct answer is 2. B and E only.