Which of the following equation is incorrectly written?

Options

A. `P_(4)+20HNO_(3) to 4H_(3)PO_(4)+20NO_(2)+4H_(2)O`
B. `I_(2)+10HNO_(3) to 2HIO_(4)+10NO_(2)+4H_(2)O`
C. `S+6HNO_(3) to H_(2)SO_(4)+6NO_(2)+2H_(2)O`
D. none of the above

Answer

To determine which of the following equations is incorrectly written, we need to analyze each reaction involving nitric acid (HNO3) as an oxidizing agent. Here’s a step-by-step breakdown of the solution:

### Step 1: Identify the Oxidizing Agent
Nitric acid (HNO3) is known to act as an oxidizing agent. It oxidizes non-metals to their respective higher oxidation state compounds.

**Hint:** Remember that HNO3 can oxidize elements like iodine, carbon, sulfur, and phosphorus.

### Step 2: Analyze the Reactions
We will examine the reactions involving iodine, carbon, sulfur, and phosphorus to see if they are correctly represented.

1. **Iodine to Iodic Acid:**
- The reaction should produce iodic acid (HIO3) from iodine (I2).
- The balanced reaction is:
\[ I_2 + 10 HNO_3 \rightarrow 2 HIO_3 + 10 NO_2 + 4 H_2O \]
- Here, iodine is oxidized to iodic acid.

2. **Carbon to Carbon Dioxide:**
- The reaction should produce carbon dioxide (CO2) from carbon (C).
- The balanced reaction is:
\[ C + 4 HNO_3 \rightarrow CO_2 + 4 NO_2 + 2 H_2O \]

3. **Sulfur to Sulfuric Acid:**
- The reaction should produce sulfuric acid (H2SO4) from sulfur (S).
- The balanced reaction is:
\[ S + 6 HNO_3 \rightarrow H_2SO_4 + 6 NO_2 + 2 H_2O \]

4. **Phosphorus to Phosphoric Acid:**
- The reaction should produce phosphoric acid (H3PO4) from phosphorus (P).
- The balanced reaction is:
\[ P + 5 HNO_3 \rightarrow H_3PO_4 + 5 NO_2 + 2 H_2O \]

**Hint:** Check the products formed from each reactant to ensure they match the expected oxidation states.

### Step 3: Identify the Incorrect Equation
Upon reviewing the reactions, we find that the reaction involving iodine is incorrectly represented in one of the options. The correct product should be iodic acid (HIO3), but the incorrect option lists it as HIO4.

**Hint:** Look for discrepancies in the chemical formulas of the products.

### Conclusion
The incorrect equation is the one that states iodine reacts to form HIO4 instead of HIO3. Therefore, the answer is:

**Incorrect Option: B (HIO4 is incorrectly represented instead of HIO3)**

### Summary of Steps:
1. Identify the oxidizing agent (HNO3).
2. Analyze the reactions for each non-metal.
3. Check the products for correctness.
4. Identify the incorrect equation based on the expected products.