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17 August, 05:13

Determine the volume of carbon dioxide gas produced at STP when 2.5 g of nitroglycerin decomposes by this balanced equation. 4C3H5N3O9 (l) → 12CO2 (g) + 10H2O (g) + 6N2 (g) + O2 (g)

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  1. 17 August, 06:00
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    0.67 L

    Explanation:

    Given dа ta:

    Volume of carbon dioxide = ?

    Mass of nitroglycerine = 2.5 g

    Temperature = standard = 273.15 K

    Pressure = standard = 1 atm

    Solution:

    Chemical equation:

    4C₃H₅N₃O₉ → 12CO₂ + 10 H₂O + 6N₂ + O₂

    Number of moles of nitroglycerine:

    Number of moles = mass / molar mass

    Number of moles = 2.4 g / 227.1 g/mol

    Number of moles = 0.01 mol

    Now we will compare the moles of nitroglycerine and carbon dioxide from balance chemical equation.

    C₃H₅N₃O₉ : CO₂

    4 : 12

    0.01 : 12/4*0.01 = 0.03 mol

    Volume of CO₂:

    PV = nRT

    V = nRT/P

    V = 0.03 mol * 0.0821 atm. L/mol. K * 273.15 K / 1 atm

    V = 0.67 L
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