A proposed laboratory scale cylindrical polymerization reactor to make high density polyethylene (HDPE) needs to be designed and constructed. The maximum design temperature and pressure of the reactor are 200 oC and 25 MPa, respectively. The reactor is used 4 times per day and must be designed for a minimum lifetime of 20 years. The inside diameter and wall thickness of the reactor are 300 mm and 10 mm, respectively. To meet safety regulations, a safety valve will be installed if the pressure exceeds 22 MPa, which will cause a maximum temperature drop of 220 oC in the valve region. The reactor must not plastically deform according the Von-Mises yield criteria, and should be designed following a leak-before-break approach. Determine the feasibility of making this reactor of available engineering alloys, and recommend a gasket material for the relief valve that meets the design and safety requirements. Consider at least three options for the reactor material even if you cannot find a suitable candidate. The reactor will be inspected periodically using a non-destructive technique capable of detecting 0.1 mm long internal flaws. Table 1 through 3 provide sample material properties you can use but you may use other data to broaden the choice of material. Assume a geometry factor of 1.5 for the stress intensity factor.