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15 November, 07:46

If 100 grams citric acid react with 100 g baking soda how many grams of carbon dioxide?

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  1. 15 November, 09:30
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    There will be 52.37 grams of CO2 produced.

    Explanation:

    Step 1: Data given

    Mass of citric acid (C6H8O7) = 100.00 grams

    Molar mass of citric acid = 192.12 g/mol

    Mass of baking sode (NaHCO3) = 100.00 grams

    Molar mass of baking soda = 84.01 g/mol

    Step 2: The balanced equation

    3NaHCO3 + C6H8O7 → 3CO2 + 3H2O + Na3C6H5O7

    Step 3: Calculate moles of NaHCO3

    Moles NaHCO3 = Mass NaHCO3 / molar mass NaHCO3

    Moles NaHCO3 = 100.00 grams / 84.01 g/mol

    Moles NaHCO3 = 1.190 moles

    Step 4: Calculate moles of citric acid

    Moles C6H8O7 = 100.00 grams / 192.12 g/mol

    Moles C6H8O7 = 0.5205 moles

    Step 5: Determine the limiting reactant

    NaHCO3 is the limiting reactant. It will completely be consumed (1.190 moles).

    Citric acid is in excess. There will react 1.190/3 = 0.3967 moles of C6H8O7

    There will remain 0.5205 - 0.3967 = 0.1238 moles

    Step 6: Calculate moles of CO2

    For 3 moles of NaHCO3 we need 1 mol of C6H8O7 to produce 3 moles of CO2, 3 moles of H2O and 1 mol of Na3C6H5O7

    For 1.190 moles of NaHCO3, we'll have 1.190 moles of CO2

    Step 7: Calculate Mass of CO2

    Mass of CO2 = Moles of CO2 * molar mass CO2

    Mass CO2 = 1.190 moles * 44.01 g/mol

    Mass CO2 = 52.37 grams

    There will be 52.37 grams of CO2 produced.
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