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Combustion of 50 cm3 of carbon(II)oxide in 100 cm3 of oxygen. Calculate the volume of carbon(IV)oxide produced.

Chemistry

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Answer

125 cm3\text{125 cm}^3

Step-by-step solution

6 steps
  1. Write down the balanced chemical equation and the given volumes.

    The combustion of carbon(II)oxide (CO) in oxygen (O2_2) is given by the equation:

    2CO(g)+O2(g)→2CO2(g)2\text{CO}_{(g)} + \text{O}_{2(g)} \to 2\text{CO}_{2(g)}

    Initial volume of CO = 50 cm350 \text{ cm}^3
    Initial volume of O2_2 = 100 cm3100 \text{ cm}^3

  2. Determine the stoichiometric volume ratio from the balanced equation.

    According to Gay-Lussac's Law of Gaseous Volumes, the volumes of gaseous reactants and products are in the same ratio as their stoichiometric coefficients in the balanced equation (at constant temperature and pressure).
    From the equation, 2 volumes of CO react with 1 volume of O2_2 to produce 2 volumes of CO2_2.
    The ratio CO : O2_2 : CO2_2 is 2:1:22 : 1 : 2.

  3. Identify the limiting reactant.

    Let's determine how much O2_2 is needed to react completely with 50 cm350 \text{ cm}^3 of CO:
    Volume of O2_2 needed = 50 cm3 CO×1 volume O22 volumes CO=25 cm3 O250 \text{ cm}^3 \text{ CO} \times \frac{1 \text{ volume O}_2}{2 \text{ volumes CO}} = 25 \text{ cm}^3 \text{ O}_2

    Since we have 100 cm3100 \text{ cm}^3 of O2_2 available, and only 25 cm325 \text{ cm}^3 is needed, O2_2 is in excess.
    Therefore, CO is the limiting reactant.

  4. Calculate the volume of product formed.

    Since CO is the limiting reactant, the amount of product (CO2_2) formed is determined by the initial amount of CO.
    From the stoichiometric ratio, 2 volumes of CO produce 2 volumes of CO2_2.
    Volume of CO2_2 produced = 50 cm3 CO×2 volumes CO22 volumes CO=50 cm3 CO250 \text{ cm}^3 \text{ CO} \times \frac{2 \text{ volumes CO}_2}{2 \text{ volumes CO}} = 50 \text{ cm}^3 \text{ CO}_2

  5. Calculate the volume of excess reactant remaining.

    Initial volume of O2_2 = 100 cm3100 \text{ cm}^3
    Volume of O2_2 reacted = 25 cm325 \text{ cm}^3
    Volume of O2_2 remaining = 100 cm3−25 cm3=75 cm3100 \text{ cm}^3 - 25 \text{ cm}^3 = 75 \text{ cm}^3

  6. Calculate the total volume of the resulting mixture.

    The resulting mixture will consist of the product (CO2_2) and the unreacted excess reactant (O2_2).
    Total volume of resulting mixture = Volume of CO2_2 produced + Volume of O2_2 remaining
    Total volume = 50 cm3+75 cm3=125 cm350 \text{ cm}^3 + 75 \text{ cm}^3 = 125 \text{ cm}^3

    The final answer is 125 cm3\text{125 cm}^3.

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