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30 June, 14:45

What will be the theoretical yield of tungsten (is), W, if 45.0 g of WO3 combines as completely as possible with 1.50 g of H2

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  1. 30 June, 15:54
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    35.6 g of W, is the theoretical yield

    Explanation:

    This is the reaction

    WO₃ + 3H₂ → 3H₂O + W

    Let's determine the limiting reactant:

    Mass / molar mass = moles

    45 g / 231.84 g/mol = 0.194 moles

    1.50 g / 2 g/mol = 0.75 moles

    Ratio is 1:3. 1 mol of tungsten (VI) oxide needs 3 moles of hydrogen to react.

    Let's make rules of three:

    1 mol of tungsten (VI) oxide needs 3 moles of H₂

    Then 0.194 moles of tungsten (VI) oxide would need (0.194.3) / 1 = 0.582 moles (I have 0.75 moles of H₂, so the H₂ is my excess ... Then, the limiting is the tungsten (VI) oxide)

    3 moles of H₂ need 1 mol of WO₃ to react

    0.75 moles of H₂ would need (0.75. 1) / 3 = 0.25 moles

    It's ok. I do not have enough WO₃.

    Finally, the ratio is 1:1 (WO₃ - W), so 0.194 moles of WO₃ will produce the same amount of W.

    Let's convert the moles to mass (molar mass. mol)

    0.194 mol. 183.84 g/mol = 35.6 g
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