Temp, °F Absorbed Energy, ft.lbs. %Shear -100 <1 0 -50 1.5 <5 -25 2.0 <5 -10 3.5 <5 0 4.5 <10 +10 9 -10 +20 19 25 +30 +40 +50 +60 +70 +80 +90 +100 +212 222333174 30 28 40 50 36 60 35 60 39 75 80 90 45 100 Assume that the vessel has an inner diameter of 40-inches, a wall thickness of 0.75- inches, and typical operating pressure at 50°F of 880-psi. a. b. C. d. e. Calculate the safety factor for yielding (n) utilizing Barlow's relation, σ = P D/2t, where is the hoop stress, P is the internal pressure, D is the vessel's ID, and t is the vessel's wall thickness. Show your work. Would this operational condition satisfy ASME Pressure Vessel Code requiring a safety factor of 4? Explain. Should this vessel be operated at 50°F or below the 50% FATT? Explain. What would be the least desirable orientation for cracks in the cylindrical portion of the vessel? Explain. (Note: Disregard the vessel's end caps) What would be the least desirable location for surface cracks? The OD? Or the ID? Explain.