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21 July, 09:33

The density of oxygen contained in a tank is 2.0 kg/m3 when the temperature is 25 °C. Determine the gage pressure of the gas if the atmospheric pressure is 97 kPa.

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  1. 21 July, 11:04
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    57.8408 kPa

    Explanation:

    Data provided in the question:

    Density of oxygen contained, ρ = 2.0 kg/m³

    Temperature, T = 25 °C = 25 + 273 = 298 K

    Atmospheric pressure = 97 kPa.

    Now,

    Pressure due to gas = ρRT

    Here,

    R is the gas constant = 259.8 J/kg. K

    Thus,

    Absolute Pressure due to oxygen = 2 * 259.8 * 298

    = 154840.8 Pa

    = 154840.8 * 10⁻³ kPa

    = 154.84 kPa

    Thus,

    Gage pressure = Absolute Pressure - Atmospheric pressure

    = 154.84 kPa - 97 kPa

    = 57.8408 kPa
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