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The number of electrons involved when 1 ...

The number of electrons involved when 1 mole of `H_(2)O_(2)` decomposes as
`H_(2)O_(2) rarr H_(2)O +O_(2)`, is

A

1

B

8

C

6

D

4

Text Solution

AI Generated Solution

The correct Answer is:
To determine the number of electrons involved when 1 mole of \( H_2O_2 \) decomposes into \( H_2O \) and \( O_2 \), we can follow these steps: ### Step 1: Write the balanced equation The decomposition of hydrogen peroxide can be represented by the equation: \[ H_2O_2 \rightarrow H_2O + O_2 \] ### Step 2: Determine oxidation states Next, we need to assign oxidation states to each element in the reaction: - In \( H_2O_2 \) (hydrogen peroxide), the oxidation state of oxygen is -1. - In \( H_2O \) (water), the oxidation state of oxygen is -2. - In \( O_2 \) (molecular oxygen), the oxidation state of oxygen is 0. ### Step 3: Identify changes in oxidation states Now, we can identify the changes in oxidation states: - For the oxygen in \( H_2O_2 \) going to \( H_2O \): - Change from -1 to -2 (reduction). - For the oxygen in \( H_2O_2 \) going to \( O_2 \): - Change from -1 to 0 (oxidation). ### Step 4: Calculate the number of electrons transferred Each oxygen atom in \( H_2O_2 \) undergoes a change in oxidation state: - The reduction (from -1 to -2) involves 1 electron per oxygen atom. - The oxidation (from -1 to 0) involves 1 electron per oxygen atom. Since there are 2 oxygen atoms in \( H_2O_2 \): - The total number of electrons involved in reduction: \( 1 \text{ electron} \times 1 \text{ atom} = 1 \text{ electron} \) - The total number of electrons involved in oxidation: \( 1 \text{ electron} \times 1 \text{ atom} = 1 \text{ electron} \) ### Step 5: Total number of electrons Adding these together, the total number of electrons transferred during the decomposition of 1 mole of \( H_2O_2 \) is: \[ 1 \text{ (from reduction)} + 1 \text{ (from oxidation)} = 2 \text{ electrons} \] ### Conclusion Thus, the number of electrons involved when 1 mole of \( H_2O_2 \) decomposes is **2 electrons**. ---
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