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16 April, 22:57

Gaseous methane CH4 will react with gaseous oxygen O2 to produce gaseous carbon dioxide CO2 and gaseous water H2O. Suppose 0.64 g of methane is mixed with 4.40 g of oxygen. Calculate the maximum mass of carbon dioxide that could be produced by the chemical reaction. Round your answer to 2 significant digits.

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  1. 16 April, 23:04
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    4.62g of CO₂ will be produced

    Explanation:

    Reaction of methane (CH₄) with oxygen (O₂) will produce carbon dioxide (CO₂) amd water (H₂O)

    This reaction is also known as combustion reaction of alkanes

    Equation of reaction,

    CH₄ + 2O₂ → CO₂ + 2H₂O

    From the equation of reaction, 1 mole of CH₄ reacts with 2 moles of O₂.

    But number of moles = mass / molar mass

    Molar mass of CH₄ = (12 + 4) = 16g/mol

    Molar mass of O₂ = 16g/mol

    Mass of CH₄ = number of moles * molar mass

    Mass of CH₄ = 1 * 16 = 16g

    Mass of O₂ = number of moles * molar mass

    Mass of O₂ = 2 * 16 = 32g

    Molar mass of CO₂ = 12 + 32 = 44g/mol

    From the equation of reaction,

    16g of CH₄ + 32g of O₂ produces 44g of CO₂

    48g of reactants = 44g of CO₂

    (0.64 + 4.4) g of reactants = y

    48g of reactants = 44g of CO₂

    5.04g of reactants = y g of CO₂

    y = (5.04 * 44) / 48

    y = 4.62g

    4.62g of will be produced
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