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 = 1 m' and Ve = 4 m², respectively. Initially (state 1) chamber A contains water at a temperature of 150 °C and a pressure of 350kPa. Chamber A also contains a plate of nickel with a mass of mN = 20 kg that is always in thermal equilibrium with the water. Chamber B contains 40 kg of water at a temperature of 80 °C. The membrane ruptures and heat transfers between the tank and its surroundings such that the water inside the tank reaches a uniform state, with a final temperature, T2, of 100°C. The specific heat of nickel is CpNi = 0.44 kJ/kg-K. c) Determine the pressure and specific internal energy of the water at the final state. (ie. P, and uz) d) Determine total heat transfer (between the tank and its surroundings) during the process. (ie. Q,)

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 = 1 m' and Ve = 4 m², respectively. Initially (state 1) chamber A contains water at a temperature of 150 °C and a pressure of 350kPa. Chamber A also contains a plate of nickel with a mass of mN = 20 kg that is always in thermal equilibrium with the water. Chamber B contains 40 kg of water at a temperature of 80 °C. The membrane ruptures and heat transfers between the tank and its surroundings such that the water inside the tank reaches a uniform state, with a final temperature, T2, of 100°C. The specific heat of nickel is CpNi = 0.44 kJ/kg-K. c) Determine the pressure and specific internal energy of the water at the final state. (ie. P, and uz) d) Determine total heat transfer (between the tank and its surroundings) during the process. (ie. Q,)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

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 = 1 m² and Vg = 4 m³, respectively. Initially (state 1) chamber A contains water at a
temperature of 150 °C and a pressure of 350kPa. Chamber A also contains a plate of nickel with a mass of
myi = 20 kg that is always in thermal equilibrium with the water. Chamber B contains 40 kg of water at a
temperature of 80 °C. The membrane ruptures and heat transfers between the tank and its surroundings
such that the water inside the tank reaches a uniform state, with a final temperature, T2, of 100°C. The
specific heat of nickel is CpNi = 0.44 kJ/kg-K.
c) Determine the pressure and specific internal energy of the water at the final state. (ie. P, and uz)
d) Determine total heat transfer (between the tank and its surroundings) during the process. (ie. 1Q2)
A
В
(Water)
(Water)
Membrane
Nickel Plate

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Deduce for the case of a perfect gas the relationship between the gas constant and the specific heats at constant pressure and at constant volume. The specific heat at constant pressure (cp) and the gas constant (R) of a perfect gas are 1.033 kJ/kg K and 108.2 J/kg K respectively. Find the ratio of specific heat at constant pressure to that at constant volume.
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3