Consider a reactor that is filled with H2O at 240oC and 4.2 MPa and is protected by a containment dome as shown in Fig. 3. The volume of the reactor is 3 m3 . The dome is insulated and is vacuum initially. An accident happens and the water inside the reactor starts to leak and eventually fills the entire containment dome. Hint: Insulated wall implies there is no heat transfer. (a) Estimate the minimum volume of the dome such that the final pressure does not exceed 300 kPa, which is the pressure limit of this dome. (b) What is the final temperature of H2O when it fills up the dome? (c) Draw a process curve on a T-v diagram indicating the initial state on its isobar line and the final state on its isobar line and relative to the saturated liquid and saturated vapour curve.

Containment dome Insulated wall Initially vacuum HO Reactor Figure 3: Schematic of a containment dome enclosing a reactor