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9 January, 01:29

A hot air balloon, when fully inflated, contains 2,800,000 Liter of air. If each mole of air occupies 22.4 L of at a temperature of 120 Celsius, at what pressure is the air at when the balloon is fully inflated?

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  1. 9 January, 02:11
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    1.44 atm

    Explanation:

    Step 1:

    We'll begin by calculating the number of mole in 2,800,000 Liter of air.

    I mole of air occupy 22.4L.

    Therefore, Xmol of air will occupy 2800000L i. e

    Xmol of air = 2800000/22.4

    Xmol of air = 125000 moles

    Step 2:

    Determination of the pressure when the balloon is fully inflated.

    This can be obtained as follow:

    Number of mole (n) of air = 125000 moles

    Volume (V) = 2800000 L

    Temperature (T) = 120°C = 120°C + 273 = 393K

    Gas constant (R) = 0.082atm. L/Kmol

    Pressure (P) =.?

    PV = nRT

    Divide both side V

    P = nRT/V

    P = (125000x0.082x393) / 2800000

    P = 1.44 atm

    Therefore, the pressure of the air when the balloon is fully inflated is 1.44 atm
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