A rigid tank filled with water is divided into two chambers by a membrane. The membrane is a perfect insulator and there is no heat transfer between the chambers. The volume of the water in chamber A and chamber B is VA 30 L and Vs 4500 L, respectively. Initially (state 1), chamber A contains water at a temperature (TAi) of 65°C and a pressure (Pa1) of 210 kPa. Chamber B contains 0.3 kg of water at a temperature (Tg1) of 150°C. The membrane ruptures and the water in the two chambers combines. The combined water in the rigid tank is then heated until the final equilibrium state (state 2) is reached, with a final temperature T: = 185°C. The volume of the membrane can be neglected. a) Determine the mass (ma) of the water in chamber A at the initial state in kg. b) Determine the pressure (Pai) of the water in chamber B at the initial state in kPa. c) Determine the pressure (P2) and quality (x2) of the water at the final state. d) Show the three state points (the initial states of the water in chamber A gnd chamber R

Refrigeration and Air Conditioning Technology (MindTap Course List)
8th Edition
ISBN:9781305578296
Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Chapter1: Heat, Temperature, And Pressure
Section: Chapter Questions
Problem 6RQ: One British thermal unit will raise the temperature of _____ 1b of water _____F.
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Can you do part A and B

A rigid tank filled with water is divided into two chambers by a membrane. The membrane is a
perfect insulator and there is no heat transfer between the chambers. The volume of the water in
chamber A and chamber B is VA= 30 L and VB= 4500 L, respectively. Initially (state 1), chamber
A contains water at a temperature (TAI) of 65°C and a pressure (PaI) of 2i0 kPa. Chamber B
contains 0.3 kg of water at a temperature (TB1) of 150°C. The membrane ruptures and the water in
the two chambers combines. The combined water in the rigid tank is then heated until the final
equilibrium state (state 2) is reached, with a final temperature T2 = 185°C. The volume of the
membrane can be neglected.
a) Determine the mass (ma1) of the water in chamber A at the initial state in kg.
b) Determine the pressure (PRI) of the water in chamber B at the initial state in kPa.
c) Determine the pressure (P2) and quality (x2) of the water at the final state.
d) Show the three state points (the initial states of the water in chamber A and chamber B,
and the final state of the water) on a T-v (temperature – specific volume) diagram. Show
all constant pressure lines and corresponding values of temperature and specific volume.
Write out your justification for the location (region) of each state. You do not need to show
any process paths on the diagram.
A
B
(Water)
(Water)
Transcribed Image Text:A rigid tank filled with water is divided into two chambers by a membrane. The membrane is a perfect insulator and there is no heat transfer between the chambers. The volume of the water in chamber A and chamber B is VA= 30 L and VB= 4500 L, respectively. Initially (state 1), chamber A contains water at a temperature (TAI) of 65°C and a pressure (PaI) of 2i0 kPa. Chamber B contains 0.3 kg of water at a temperature (TB1) of 150°C. The membrane ruptures and the water in the two chambers combines. The combined water in the rigid tank is then heated until the final equilibrium state (state 2) is reached, with a final temperature T2 = 185°C. The volume of the membrane can be neglected. a) Determine the mass (ma1) of the water in chamber A at the initial state in kg. b) Determine the pressure (PRI) of the water in chamber B at the initial state in kPa. c) Determine the pressure (P2) and quality (x2) of the water at the final state. d) Show the three state points (the initial states of the water in chamber A and chamber B, and the final state of the water) on a T-v (temperature – specific volume) diagram. Show all constant pressure lines and corresponding values of temperature and specific volume. Write out your justification for the location (region) of each state. You do not need to show any process paths on the diagram. A B (Water) (Water)
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