To find the quantity of hydrogen (H₂) used in the reaction, we first need to establish the moles of nitrogen (N₂) and ammonia (NH₃) involved.
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Calculate the molar mass of nitrogen (N₂):
- Nitrogen has a molar mass of approximately 14.01 g/mol.
- Therefore, N₂ = 2 * 14.01 g/mol = 28.02 g/mol.
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Calculate the moles of nitrogen (N₂) used in the reaction:
- Moles of N₂ = mass (g) / molar mass (g/mol) = 10.0 g / 28.02 g/mol ≈ 0.357 moles of N₂.
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From the balanced chemical equation:
- 1 mole of N₂ reacts with 3 moles of H₂ to produce 2 moles of NH₃.
- Therefore, 0.357 moles of N₂ would react with: \[ 0.357 , \text{moles N₂} \times 3 , \text{moles H₂/mole N₂} = 1.071 , \text{moles H₂}. \]
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Calculate the molar mass of hydrogen (H₂):
- Hydrogen has a molar mass of approximately 1.008 g/mol.
- Therefore, H₂ = 2 * 1.008 g/mol = 2.016 g/mol.
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Calculate the mass of hydrogen (H₂) used in the reaction:
- Mass of H₂ = moles * molar mass = 1.071 moles * 2.016 g/mol ≈ 2.16 g of H₂.
Based on the options provided, the closest answer is 2.0 g of H₂.