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15 September, 10:39

What mass in kilograms of CO2 is needed to fill an 80.0 L tank to a pressure of 150.0 atm at 27.0 C

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  1. 15 September, 13:34
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    We can use the ideal gas law equation to find the mass of CO₂

    PV = nRT

    P - pressure - 150.0 atm x 101 325 Pa/atm = 15 198 750 Pa

    V - volume - 80 x 10⁻³ m³

    n - number of moles

    R - universal gas constant - 8.314 Jmol⁻¹K⁻¹

    T - temperature in K - 27 °C + 273 = 300 K

    substituting the values in the equation

    15 198 750 Pa x 80 x 10⁻³ m³ = n x 8.314 Jmol⁻¹K⁻¹ x 300 K

    n = 487.5 mol

    molar mass of CO₂ is 44 g/mol

    mass of CO₂ - 44 g/mol x 487.5 mol = 21 450 g

    mass of CO₂ required is 21.450 kg
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