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21 June, 03:30

The high-pressure air storage tank for a supersonic wind tunnel has a volume of 1000 ft3. If air is stored at a pressure of 30 ATM and a temperature of 530R, what is the mass of gas stored in the tank in slugs?

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  1. 21 June, 05:56
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    69.86 slugs

    Explanation:

    From the ideal gas equation

    PV = nRT

    n (number of moles) = PV/RT

    P is pressure of the gas = 30 atm = 30*101325 = 3,039,750 Pa

    V is volume of the gas = 1000 ft^3 = 1000/3.2808^3 = 28.32 m^3

    R is gas constant = 8.314 J/mol. K

    T is the temperature of the gas = 530 R = 5/9 * 530 = 294.44 K

    n = 3,039,750*28.32/8.314*294.44 = 35166.11 mol

    mass = n * MW

    MW of air = 29 g/mol

    mass = 35166.11 * 29 = 1019817.19 g * 0.0685 slug/1000 g = 69.86 slugs
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