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Applying the Energy BalanceA closed, rigid tank is filled
Chapter 3, Problem 49P(choose chapter or problem)
A closed, rigid tank is filled with water. Initially, the tank holds \(9.9 \mathrm{ft}^3\) saturated vapor and \(0.1 \mathrm{ft}^3\) saturated liquid, each at \(212^{\circ} \mathrm{F}\). The water is heated until the tank contains only saturated vapor. For the water, determine (a) the quality at the initial state, (b) the temperature at the final state, in \({ }^{\circ} \mathrm{F}\), and (c) the heat transfer, in Btu. Kinetic and potential energy effects can be ignored.
Questions & Answers
QUESTION:
A closed, rigid tank is filled with water. Initially, the tank holds \(9.9 \mathrm{ft}^3\) saturated vapor and \(0.1 \mathrm{ft}^3\) saturated liquid, each at \(212^{\circ} \mathrm{F}\). The water is heated until the tank contains only saturated vapor. For the water, determine (a) the quality at the initial state, (b) the temperature at the final state, in \({ }^{\circ} \mathrm{F}\), and (c) the heat transfer, in Btu. Kinetic and potential energy effects can be ignored.
ANSWER:Part (a)
Step 1 of 9:
Consider a rigid tank initially having saturated vapor water and saturated liquid water. The volumes of the quantities are given. The initial temperature is also given. The tank is heated and we are going to find the quality at the initial state.
The initial temperature T1 = 212°F
The volume of saturated vapor Vvap = 9.9 ft3
The volume of saturated liquid Vliq = 0.1 ft3
From the Table A-2E,
The specific volume of vapor vg = 26.80 ft3/lb
The specific volume of liquid vf = 0.01672 ft3/lb