The anhydride of `HCIO_(4)` is

Options

A. `CIO_(2)`
B. `CI_(2)O_(2)`
C. `CI_(2)O_(7)`
D. None..

Explanation

To find the anhydride of \( \text{HClO}_4 \) (perchloric acid), we can follow these steps:

### Step 1: Understand the concept of anhydrides
An anhydride is formed when a water molecule is removed from an acid. In this case, we need to identify the anhydride of \( \text{HClO}_4 \).

### Step 2: Identify the components of \( \text{HClO}_4 \)
The molecular formula of perchloric acid, \( \text{HClO}_4 \), consists of:
- 1 hydrogen atom (H)
- 1 chlorine atom (Cl)
- 4 oxygen atoms (O)

### Step 3: Remove a water molecule
When we remove a water molecule (which consists of 2 hydrogen atoms and 1 oxygen atom) from the acid, we need to consider how many \( \text{HClO}_4 \) molecules we need to remove enough hydrogen and oxygen to account for the water.

### Step 4: Calculate the required number of \( \text{HClO}_4 \)
To remove one water molecule, we need to use 2 moles of \( \text{HClO}_4 \):
- From 2 moles of \( \text{HClO}_4 \):
- Hydrogen: 2 H (from 2 \( \text{HClO}_4 \))
- Chlorine: 2 Cl (from 2 \( \text{HClO}_4 \))
- Oxygen: 8 O (from 2 \( \text{HClO}_4 \))

### Step 5: Subtract the components of water
Now, we subtract the components of the water molecule (2 H and 1 O):
- Remaining Hydrogen: \( 2 - 2 = 0 \)
- Remaining Chlorine: \( 2 \)
- Remaining Oxygen: \( 8 - 1 = 7 \)

### Step 6: Write the formula for the anhydride
The remaining components give us:
- Chlorine: 2
- Oxygen: 7

Thus, the formula for the anhydride is \( \text{Cl}_2\text{O}_7 \).

### Final Answer
The anhydride of \( \text{HClO}_4 \) is \( \text{Cl}_2\text{O}_7 \).

---