Calculate the strength in `g//L` of 10 volume solution of hydrogen peroxide at 273 K and 1 bar pressure. [Report your answer divided by 10]

Explanation

To calculate the strength in grams per liter (g/L) of a 10 volume solution of hydrogen peroxide (H₂O₂) at 273 K and 1 bar pressure, we can follow these steps:

### Step 1: Understand the Concept of Volume Strength
A 10 volume solution of hydrogen peroxide means that 1 liter of this solution can produce 10 liters of oxygen gas (O₂) when decomposed at standard temperature and pressure (STP: 273 K and 1 bar).

### Step 2: Write the Decomposition Reaction
The decomposition of hydrogen peroxide can be represented by the following balanced chemical equation:
\[ 2 \text{H}_2\text{O}_2 \rightarrow 2 \text{H}_2\text{O} + \text{O}_2 \]
This indicates that 2 moles of hydrogen peroxide produce 1 mole of oxygen gas.

### Step 3: Calculate Molar Mass of Hydrogen Peroxide
The molar mass of hydrogen peroxide (H₂O₂) is calculated as follows:
- Hydrogen (H): 1 g/mol × 2 = 2 g/mol
- Oxygen (O): 16 g/mol × 2 = 32 g/mol
- Total: 2 + 32 = 34 g/mol

### Step 4: Calculate the Volume of Oxygen Produced
At STP, 1 mole of any gas occupies 22.7 liters. Therefore, the volume of oxygen produced from the decomposition of hydrogen peroxide can be calculated:
- 1 mole of H₂O₂ produces 0.5 moles of O₂.
- 2 moles of H₂O₂ (which is 68 g) produces 1 mole of O₂ (22.7 L).

### Step 5: Calculate the Amount of H₂O₂ for 10 Liters of O₂
To find out how much hydrogen peroxide is required to produce 10 liters of oxygen:
- From the previous step, we know that 68 g of H₂O₂ produces 22.7 L of O₂.
- Therefore, for 10 L of O₂:
\[ \text{Required H₂O₂} = \frac{68 \, \text{g} \times 10 \, \text{L}}{22.7 \, \text{L}} \approx 30 \, \text{g} \]

### Step 6: Calculate the Strength in g/L
Since we have determined that 10 volume solution of hydrogen peroxide contains approximately 30 g of H₂O₂ per liter, the strength is:
\[ \text{Strength} = 30 \, \text{g/L} \]

### Step 7: Report the Answer Divided by 10
Finally, as per the question, we need to report the answer divided by 10:
\[ \text{Final Answer} = \frac{30 \, \text{g/L}}{10} = 3 \, \text{g/L} \]

### Summary of the Solution
The strength of a 10 volume solution of hydrogen peroxide at 273 K and 1 bar pressure is **3 g/L**.