Answer:
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
