To determine the volume of CO₂ released from heating 9.85 g of BaCO₃ (barium carbonate) at standard temperature and pressure (STP), we first need to understand the decomposition reaction:
Decomposition Reaction
The balanced equation for the decomposition of barium carbonate is:
- BaCO₃ (s) → BaO (s) + CO₂ (g)
Molar Mass Calculation
Next, we calculate the molar mass of BaCO₃:
- Barium (Ba): 137.33 g/mol
- Carbon (C): 12.01 g/mol
- Oxygen (O): 16.00 g/mol × 3 = 48.00 g/mol
- Total: 137.33 + 12.01 + 48.00 = 197.34 g/mol
Calculating Moles of BaCO₃
Now, we can find the number of moles in 9.85 g of BaCO₃:
Moles of BaCO₃ = mass / molar mass
Moles of BaCO₃ = 9.85 g / 197.34 g/mol ≈ 0.0500 moles
Volume of CO₂ at STP
At STP, 1 mole of any gas occupies 22.4 liters. Since the decomposition of 1 mole of BaCO₃ produces 1 mole of CO₂, the volume of CO₂ produced is:
Volume of CO₂ = moles × 22.4 L/mol
Volume of CO₂ = 0.0500 moles × 22.4 L/mol ≈ 1.12 L
Final Answer
The volume of CO₂ released at STP when heating 9.85 g of BaCO₃ is 1.12 L. Therefore, the correct option is D.