Answer:
Maximum safe operating temperature = 450 °C
Explanation:
First, the volume of the cylindrical vessel is determined using the formula:
v = πr²h
Radius, r, of stainless steel vessel = width or diameter / 2
r = 39.0 cm / 2 = 19.5 cm
height of vessel = 46.8 cm
volume of cylinder = 22/7 × 19.5² × 46.8 = 55929.343 cm³ = 0.05593 m³
Using the ideal gas equation to calculate the maximum safe temperature
PV = nRT
pressure, P = 5.30 MPa = 5.30 × 10⁶ Pa
R = 8.314 J/mol.K
n = mass of gas/ molar mass of gas
molar mass of SF₆ = 146 g/mol
mass of Sf₆ = 7.20 kg = 7200 g
n = 7200/146 = 49.315 moles
T = PV/nR
T = (5.30 × 10⁶ × 0.05593) / (49.315 × 8.314)
T = 722.98 K
T in °C = 714.98 - 273.15 = 449.83 °C
Therefore, maximum safe operating temperature = 450 °C
