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When 0.607 mol of Bi2O3 reacts with excess carbon, how many (a) moles of Bi and (b) grams of CO form?

Chemistry

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Problem: When 0.607 mol of Bi2O3\text{Bi}_2\text{O}_3 reacts with excess carbon, how many (a) moles of Bi and (b) grams of CO form?

  1. Write and balance the chemical equation.

    The reaction involves bismuth(III) oxide (Bi2O3\text{Bi}_2\text{O}_3) reacting with carbon (C) to produce bismuth (Bi) and carbon monoxide (CO).

    Bi2O3(s)+3C(s)→2Bi(s)+3CO(g)\text{Bi}_2\text{O}_3(s) + 3\text{C}(s) \rightarrow 2\text{Bi}(s) + 3\text{CO}(g)
  2. Calculate (a) moles of Bi produced.

    From the balanced equation, 1 mole of Bi2O3\text{Bi}_2\text{O}_3 produces 2 moles of Bi.
    Given moles of Bi2O3=0.607\text{Bi}_2\text{O}_3 = 0.607 mol.

    Moles of Bi=(0.607 mol Bi2O3)×2 mol Bi1 mol Bi2O3\text{Moles of Bi} = (0.607 \text{ mol Bi}_2\text{O}_3) \times \frac{2 \text{ mol Bi}}{1 \text{ mol Bi}_2\text{O}_3} Moles of Bi=1.214 mol\text{Moles of Bi} = 1.214 \text{ mol}

    The number of moles of Bi formed is 1.214 mol\boxed{1.214 \text{ mol}}.

  3. Calculate (b) grams of CO formed.

    From the balanced equation, 1 mole of Bi2O3\text{Bi}_2\text{O}_3 produces 3 moles of CO.

    Moles of CO=(0.607 mol Bi2O3)×3 mol CO1 mol Bi2O3\text{Moles of CO} = (0.607 \text{ mol Bi}_2\text{O}_3) \times \frac{3 \text{ mol CO}}{1 \text{ mol Bi}_2\text{O}_3} Moles of CO=1.821 mol\text{Moles of CO} = 1.821 \text{ mol}
  4. Convert moles of CO to grams of CO.

    Molar mass of CO = Molar mass of C + Molar mass of O
    Molar mass of C ≈12.01 g/mol\approx 12.01 \text{ g/mol}
    Molar mass of O ≈16.00 g/mol\approx 16.00 \text{ g/mol}

    Molar mass of CO=12.01 g/mol+16.00 g/mol=28.01 g/mol\text{Molar mass of CO} = 12.01 \text{ g/mol} + 16.00 \text{ g/mol} = 28.01 \text{ g/mol} Mass of CO=Moles of CO×Molar mass of CO\text{Mass of CO} = \text{Moles of CO} \times \text{Molar mass of CO} Mass of CO=1.821 mol×28.01 g/mol\text{Mass of CO} = 1.821 \text{ mol} \times 28.01 \text{ g/mol} Mass of CO≈51.006 g\text{Mass of CO} \approx 51.006 \text{ g}

    The mass of CO formed is 51.01 g\boxed{51.01 \text{ g}}.

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