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The problem asks to calculate the mass of barium chlorate (\(\text{Ba(ClO}_3)_2\)) added to a flask, given:

- Volume of solution = 480.0 mL = 0.4800 L
- Molarity of the solution = 0.232 M (moles of \(\text{Ba(ClO}_3)_2\) per liter of solution)

To find the mass of barium chlorate, we can follow these steps:

1. **Calculate moles of barium chlorate**:
   \[
   \text{moles} = \text{molarity} \times \text{volume} = 0.232 \, \text{mol/L} \times 0.4800 \, \text{L}
   \]
   \[
   \text{moles} = 0.11136 \, \text{mol}
   \]

2. **Molar mass of barium chlorate (\(\text{Ba(ClO}_3)_2\))**:
   - Barium (Ba): 137.33 g/mol
   - Chlorine (Cl): 35.45 g/mol
   - Oxygen (O): 16.00 g/mol
   
   The formula for barium chlorate is \(\text{Ba(ClO}_3)_2\), so we have:
   \[
   \text{Molar mass} = 137.33 \, \text{g/mol} + 2 \times (35.45 + 3 \times 16.00) \, \text{g/mol}
   \]
   \[
   \text{Molar mass} = 137.33 + 2 \times (35.45 + 48.00) = 137.33 + 2 \times 83.45 = 137.33 + 166.90 = 304.23 \, \text{g/mol}
   \]

3. **Calculate the mass of barium chlorate**:
   \[
   \text{mass} = \text{moles} \times \text{molar mass} = 0.11136 \, \text{mol} \times 304.23 \, \text{g/mol}
   \]
   \[
   \text{mass} = 33.88 \, \text{g}
   \]

Therefore, the mass of barium chlorate added to the flask is **33.88 grams**.

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Would you like further details on any step? Here are some related questions for further practice:

1. How would the mass change if the solution volume were doubled?
2. What if the molarity of the solution was 0.500 M instead of 0.232 M?
3. How does the molar mass of barium chlorate compare to that of sodium chlorate (\(\text{NaClO}_3\))?
4. Can you explain the steps to determine the molar mass of a compound?
5. How would you find the number of moles from mass instead of molarity?

**Tip:** Always ensure that the units in your calculations match up correctly when working with volume, molarity, and mass.

A chemist adds 480.0 mL of a 0.232M barium chlorate (Ba(ClO3)2) solution to a reaction flask. Calculate the mass in grams of barium chlorate the chemist has added to the flask. Be sure your answer has the correct number of significant digits.

Learn how to calculate the mass of barium chlorate added to a flask, given the molarity and volume of the solution. This problem covers key stoichiometric concepts, including molarity and mass calculations, suitable for high school chemistry students.

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