Problem 3: (PSV diameter Calculation): (15 Points) Steam is supplied to the heating coils of a reactor vessel at 900kPa, saturated. The coils are 0.5 -in schedule 80 pipe (internal diameter =1.46cm ). The steam is supplied from a main header through similar pipe with an equivalent length of 25m. The heating coils consist of 8m of the pipe wound in a coil within the reactor. If the heating coil pipe shears accidentally, the reactor vessel will be exposed to the full 900kPa pressure of the steam, exceeding the vessel's pressure rating. As a result, the reactor must be equipped with a relief system to discharge the steam in the event of a coil shear. Compute the maximum mass flow rate of steam from the sheared coils using two approaches: a. Assuming the leak in the coil is represented by an orifice. b. Assuming adiabatic flow through the pipe