Respuesta :
Answer:
525°C is the maximum safe operating temperature the engineer should recommend for this reaction.
Explanation:
Volume of the cylindrical container = V = [tex]\pi r^2h[/tex]
Height of the vessel = h =60.0 cm
Diameter of the vessel = d = 50.0 cm
Radius of the vessel = r = 0.5d = 25.0 cm
[tex]V=3.14\times (25.0 cm)^2\times 60.0 cm=117,809.72 cm^3=117,809.72mL[/tex]
[tex]1 cm^3=1 mL[/tex]
1 mL = 0.001 L
117,809.72 mL = 117,80972 L ≈ 118 L
Pressure of the gas in vessel = P = 7.40 MPa = [tex]7.40\times 10^6 Pa[/tex]
[tex]1 MPa = 10^6 Pa[/tex]
1 atm = 101325 Pa
[tex]P=\frac{7.40\times 10^6}{101325} atm=73.0 atm[/tex]
Mass sulfur hexafluoride gas = 19.2 kg = 19200 g
1 kg = 1000 g
Moles of sulfur hexafluoirde = [tex]\frac{19200 g}{146 g/mol}=131.5 mol[/tex]
Temperature of the gas in vessel = T
Using an ideal gas equation :
[tex]PV=nRT[/tex]
[tex]T=\frac{PV}{nR}=\frac{73.0 atm\times 118 L}{0.0821 atm L/mol K\times 131.5 mol}[/tex]
T = 797.8 ≈ K 798 K
T = 798 - 273°C = 525°C
525°C is the maximum safe operating temperature the engineer should recommend for this reaction.
