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A reactor containment building is a gas-tight enclosure around a nuclear reactor that prevent the dangerous substances from escaping to the atmosphere in the event

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A reactor containment building is a gas-tight enclosure around a nuclear reactor that prevent the dangerous substances from escaping to the atmosphere in the event of an accident. Figure 2: A nuclear containment dome at the Argonne National Laboratory. Consider a reactor that is filled with H2O at 240C and 4.2MPa and is protected by a containment dome as shown in Fig. 3. The volume of the reactor is 3m3. 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 300kPa, 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 Tv 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. Figure 3: Schematic of a containment dome enclosing a reactor

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