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16 December, 05:57

Problem 11.010 IS A rigid tank contains 1 kg of oxygen (O2) at p1 = 30 bar, T1 = 180 K. The gas is cooled until the temperature drops to 150 K. Determine the volume of the tank, in m3, and the final pressure, in bar, using the:

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  1. 16 December, 07:39
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    The gas law relation is

    PV = nRT where n is no of moles of gas

    given 1 kg of oxygen

    n = 1000 / 32 = 31.25 moles

    P = 30 bar = 30 x 10⁵ Pa

    V = ?

    T = 180 K

    R = 8.32

    Substituting the values

    30 x 10⁵ x V = 31.25 x 8.32 x 180

    V = 1560 x 10⁻⁵ m³

    = 1.56 x 10⁻² m³

    When volume remains constant, pressure is proportional to temperature

    P₂ / P₁ = T₂ / T₁

    P₂ = (150 / 180) x 30

    = 25 Bar.
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