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30 March, 10:38

g Gaseous ethane will react with gaseous oxygen to produce gaseous carbon dioxide and gaseous water. Suppose 2.71 g of ethane is mixed with 3.8 g of oxygen. Calculate the maximum mass of carbon dioxide that could be produced by the chemical reaction. Be sure your answer has the correct number of significant digits.

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  1. 30 March, 13:11
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    6.05g

    Explanation:

    The reaction is given as;

    Ethane + oxygen - -> Carbon dioxide + water

    2C2H6 + 7O2 - -> 4CO2 + 6H2O

    From the reaction above;

    2 mol of ethane reacts with 7 mol of oxygen.

    To proceed, we have to obtain the limiting reagent,

    2,71g of ethane;

    Number of moles = Mass / molar mass = 2.71 / 30 = 0.0903 mol

    3.8g of oxygen;

    Number of moles = Mass / molar mass = 3.8 / 16 = 0.2375 mol

    If 0.0903 moles of ethane was used, it would require;

    2 = 7

    0.0903 = x

    x = 0.31605 mol of oxygen needed

    This means that oxygen is our limiting reagent.

    From the reaction,

    7 mol of oxygen yields 4 mol of carbon dioxide

    0.2375 yields x?

    7 = 4

    0.2375 = x

    x = 0.1357

    Mass = Number of moles * Molar mass = 0.1357 * 44 = 6.05g
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