Assume the same setup as in 3.101, but the room has a

Chapter 3, Problem 108HP

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QUESTION:

Problem 108HP

Assume the same setup as in Problem 3.101, but the room has a volume of 100 m3. Show that the final state is two phase and find the final pressure by trial and error.

Problem 3.101

A water-filled reactor with a volume of 1 m3 is at 20 MPa and 360°C and is placed inside a containment room, as shown in Fig. P3.101. The room is well insulated and initially evacuated. Due to a failure, the reactor ruptures and the water fills the containment room. Find the minimum room volume so that the final pressure does not exceed 200 kPa.

FIGURE P3.101

Questions & Answers

QUESTION:

Problem 108HP

Assume the same setup as in Problem 3.101, but the room has a volume of 100 m3. Show that the final state is two phase and find the final pressure by trial and error.

Problem 3.101

A water-filled reactor with a volume of 1 m3 is at 20 MPa and 360°C and is placed inside a containment room, as shown in Fig. P3.101. The room is well insulated and initially evacuated. Due to a failure, the reactor ruptures and the water fills the containment room. Find the minimum room volume so that the final pressure does not exceed 200 kPa.

FIGURE P3.101

ANSWER:

Solution 108 HP

Step 1 of 4

We are required to show that the final state is two phases and find the final pressure by trial and error.

Volume of the room is, m3

Volume of the water filled reactor, m3

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