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24 February, 22:07

A rigid tank having 21.225 m^3 volume contains air having density of 1.829 kg/m^3 Air is supplied to the tank from a high-pressure supply line via a valve connection, until the air density reaches to 5.007 kg/m^3. This procedure has taken 56.101 minutes. Calculate the mass flow rate of the air supplied from high - pressure line to the tank. Enter your result in kg/s, and use 3 decimals.

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  1. 24 February, 23:35
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    0.020 Kg/s

    Explanation:

    Given:

    Volume of the rigid tank, V = 21.225 m³

    Initial density of the air, ρ₁ = 1.829 Kg/m³

    Final density of the air, ρ₂ = 5.007 Kg/m³

    Total time for the procedure, t = 56.101 minutes = 56.101 * 60 = 3366.06 s

    Now,

    Mass = Density * volume

    thus,

    Initial mass of the air in the tank = ρ₁ * V = 1.829 * 21.225 = 38.820 Kg

    Final mass of the air in the tank = ρ₂ * V = 5.007 * 21.225 = 106.273 kg

    Therefore,

    Total mass inflow in the tank = Final mass of the air - Initial mass of the air

    or

    Total mass inflow in the tank = 106.273 - 38.820 = 67.453 Kg

    hence,

    the mass flow rate = Mass inflow / Time

    or

    The mass flow rate = 67.453 Kg / 3366.06 s = 0.020 Kg/s
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