Concept explainers
(a)
The final pressure in the tank.
(a)

Explanation of Solution
Given:
The initial volume of the rigid tank
The initial temperature of the tank
The pressure of the vapor in the valve
The temperature of the vapor in the valve
The surroundings temperature in the tank
Calculation:
At the final observation, the valve is closed and the tank composed with one-half water and vapor at the temperature of
Hence, the pressure
Refer Table A-4E, “Saturated water-Temperature table”.
The saturation pressure corresponding to the temperature of
Thus, the pressure of the mixture in the tank at the final state is
(b)
The amount of steam entered in the tank.
(b)

Explanation of Solution
It is given that the tank consist of one-half of the volume of the tank is occupied by liquid water.
At the initial state (1):
The tank consist of saturated water vapor
Refer Table A-4E, “Saturated water-Temperature table”.
Obtain the initial specific volume
At the final state (2):
The tank consist of mixture of vapor
Refer Table A-4E, “Saturated water-Temperature table” at to the temperature of
The final fluid specific volume
The final gaseous specific volume
Calculate the mass of steam
At final state, the tank consist of mixture of vapor
Calculate mass of steam
Write the equation of mass balance.
Here, the inlet mass is
The change in mass of the system for the control volume is expressed as,
Here, the suffixes 1 and 2 indicate the initial and final states of the system.
Consider the given rigid tank as the control volume.
At final state, the valve is close and the steam is not allowed to exit, i.e.
Rewrite the Equation (I) as follows.
Thus, the amount of steam entered in the tank is
(c)
The amount of the heat transfer.
(c)

Explanation of Solution
At the line (while entering the tank):
The supply line consist of superheated water vapor.
Refer Table A-6E, “Superheated water”.
Obtain the line enthalpy
At the initial state (1):
The tank consist of saturated water vapor
Refer Table A-4E, “Saturated water-Temperature table”.
Obtain the initial internal energy
At the final state (2):
The tank consist of mixture of vapor
Refer Table A-4E, “Saturated water-Temperature table “at the temperature of
The final fluid internal energies
The final gaseous internal energies
At the final state, the tank is composed of vapor and liquid. Hence, the final state energy is expressed as follows.
Write the energy balance equation.
Here, the heat transfer is
Since the tank is not insulated, the heat transfer occurs through the tank wall. In control volume, there is no work transfer, i.e.
The Equation (V) reduced as follows.
Here, the negative sign indicates that the heat transfer occurs from the tank to the surrounding.
Thus, the amount of the heat transfer is
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Chapter 6 Solutions
Fundamentals Of Thermal-fluid Sciences In Si Units
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