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5 September, 11:03

Assuming that all of the carbon dioxide ends up in the balloon, what will be the volume of the balloon at a temperature of 27 ∘C and a pressure of 742 mmHg?

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Answers (2)
  1. 5 September, 11:25
    0
    The volume of the balloon would be (580.12m) cm^3

    Explanation:

    From the ideal gas equation,

    PV = nRT

    P is pressure in the balloon = 742 mmHg = 742/760 = 0.976 atm

    V is the volume of the balloon

    n is the number of moles of carbon dioxide in the balloon. Let the mass of carbon dioxide be m.

    n = mass/MW = m/44 = (0.023m) mol

    R is gas constant = 82.057 cm^3. atm/mol. K

    T is temperature of the balloon = 27 °C = 27 + 273 = 300 K

    V = 0.023m * 82.057 * 300/0.976 = (580.12m) cm^3
  2. 5 September, 11:26
    0
    Given:

    P = 742 mmHg

    = 98925.2 Pa

    T = 22 °C

    = 295 K

    R = 8.3145 J/mol. K

    Molar mass of CO2, M = 12 + (16*2)

    = 44 g/mol

    Number of moles = mass/molar mass

    = 28.8/44

    = 0.655 mol.

    Using ideal gas law,

    PV = nRT

    V = nRT/P

    = 0.655 * 8.3145 * 295/98925.2

    = 0.0162 m^3
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