Fundamentals Of Engineering Thermodynamics
9th Edition
ISBN: 9781119391388
Author: MORAN, Michael J., SHAPIRO, Howard N., Boettner, Daisie D., Bailey, Margaret B.
Publisher: Wiley,
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4. A two-phase, liquid-vapor mixture of H,O, initially a
kPa, is contained in a piston – cylinder assembly,
as shown in Fig 4. The mass of the piston is 10 kg,
and its diameter is 15 cm. The pressure of the
surroundings is 100 kPa. As the water is heated,
the pressure inside the cylinder remains constant
until the piston hits the stops. Heat transfer to the
water continues at constant volume until the
Water,
initially at
X= 30%,
p= 100 kPa-
Piston
D= 15 cm
m- 10 kg
Pen= 100 kPa
pressure is 150 kPa. Friction between the piston
and the cylinder wall and kinetic and potential
energy effects are negligible. Present the process
on the P-v diagram. For the overall process of the
water, determine the work and heat transfer, each
in kJ.
2 cm-
-8 cm
Q2. Two tanks are connected by a valve. One tank contains 2 kg of carbon monoxide gas at
77°C and 0.7 bar. The other tank holds 8 kg of the same gas at 27 °C and 1.2 bar. The valve is
opened and the gases are allowed to mix while receiving energy by heat transfer from the
surroundings. The final equilibrium temperature is 42 °C.
(a) Verify that the ideal gas equation of state is appropriate for CO in this range of
temperature and pressure by referring to a generalized compressibility chart
(b) Using the ideal gas model, determine (i) the final equilibrium pressure, in bar (ii) the
heat transfer for the process, in kJ.
(c) Evaluate Q using specific internal energy values from the ideal gas table for CO.
An insulated piston-cylinder device contains 0.010kg of saturated -liquid water at 3bars and m kg of steam at 3 bars and 200oC. Initially the two masses are separated from each other by an adiabatic membrane. The membrane is broken while the pressure is maintained at 3 bars and the system proceeds toward equilibrium. Determine;i. The mass m of system, in kg, required in order for the final state of be a saturated vapourii. The work that occurs in joules.
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- A rigid, well-insulated tank contains a two-phase mixture of ammonia with 0.0028 ft3 of saturated liquid and 1.5 ft3 of saturated vapor, initially at p₁ = 70 lb/in². A paddle wheel stirs the mixture until only saturated vapor at higher pressure, p2, remains in the tank. Kinetic and potential energy effects are negligible. Determine the pressure p2, in lb/in², and the amount of energy transfer by work, in Btu.arrow_forwardA rigid, well-insulated tank contains a two-phase mixture of ammonia with 0.0022 ft³ of saturated liquid and 1.5 ft3 of saturated vapor, initially at p₁ = 70 lb/in². A paddle wheel stirs the mixture until only saturated vapor at higher pressure, p2, remains in the tank. Kinetic and potential energy effects are negligible. Determine the pressure p2, in lb/in², and the amount of energy transfer by work, in Btu. Step 1 * Your answer is incorrect. Determine p2, in lb/in². P2= i81.56 lb/in²arrow_forward* Your answer is incorrect. Water contained in a piston-cylinder assembly, initially at 300°F, a quality of 80%, and a volume of 6 ft3, is heated at constant temperature to saturated vapor. If the rate of heat transfer is 0.3 Btu/s, determine the time, in min, for this process of the water to occur. Kinetic and potential energy effects are negligible. At = i 5.217 minarrow_forward
- Plot the processes described on a PV diagram. Properly label the state points 1, 2, 3 ... and so on toindicate the correct sequence of the described changes in state.arrow_forwardA rigid, insulated vessel is divided into two compartments connected by a valve. Initially, one compartment, occupying 1.0 ft, contains air at 50 lb/in?, 750°R, and the other, occupying 2.0 ft?, is evacuated. The valve is opened and the air is allowed to fill both volumes. Assume the air behaves as an ideal gas and that the final state is in equilibrium. Determine the final temperature of the air, in °R, and the amount of entropy produced, in Btu/°R.arrow_forwardA vertical cylinder is fitted with a freely-moveable piston of 0.2 m diameter and contains 0.1 kg of (liquid) water. At the initial State 1, the water remains in equilibrium as saturated liquid at 15 "C with the piston applying a pressure of 7.0 bar on the water in the cylinder. The water is then slowly heated until the piston rises to a height of 0.6 m above its initial position to reach the equiliorium at State 2. The piston is now held fixed at this location and the cylinder contents are further heated to increase its pressure to 15 bar at State 3. (a) Find the volume of water at State 1. (b) Show that the cylinder contains saturated (wet) steam at State 2 and determine its dryness fraction at this state. (c) Find the steam temperature at State 3. On a T-v diagram, indicate the process undergone by the contents of the cylinder from State 1 to State 3.arrow_forward
- Oxygen (O2) is contained within a horizontal piston-cylinder system initially O2 at 500 kPa, 200°C, and occupies a volume of 0.04 m². The gas expands according to the process described by pV!.15 = Constant, until the temperature reaches 97°C. Considering oxygen as an ideal gas and taking the specific heat of oxygen as constant at an average temperature between two states, a) Determine the final pressure (in kPa) and volume (m³). b) Determine the amount of work and heat transfer during the process, in kJ. c) Find the entropy production in this process (in kJ/K) if the boundary temperature is taken as 350°C. d) Write down the main sources of irreversibilities. e) Draw the processes on P-v and T-s diagrams.arrow_forwardA rigid, insulated vessel is divided into two compartments connected by a valve. Initially, one compartment, occupying 1.0 ft3, contains air at 50 Ib/in², 725°R, and the other, occupying 2.0 ft, is evacuated. The valve is opened and the air is allowed to fill both volumes. Assume the air behaves as an ideal gas and that the final state is in equilibrium. Determine the final temperature of the air, in °R, and the amount of entropy produced, in Btu/°R.arrow_forwardFor each case, determine the specified property value and locate the state sketches of the p–υ and T–υ diagrams. For Refrigerant 134a at T = 160°F, h = 127.7 Btu/lb. Find υ, in ft3/lb. For Refrigerant 134a at T = 90°F, u = 72.71 Btu/lb. Find h, in Btu/lb. For ammonia at T = 160°F, p = 60 lbf/in.2 Find u, in Btu/lb. For ammonia at T = 0°F, p = 35 lbf/in.2 Find u, in Btu/lb. For Refrigerant 22 at p = 350 lbf/in.2, T = 350°F. Find u, in Btu/lb.arrow_forward
- Parts ,g,h,i,jarrow_forwardQ5/ Determine the molar volume of butane at 510 K and 25 bar by each of the following : a- Ideal gas law. b- Compressibility factor.arrow_forwardA two-phase liquid–vapor mixture of H2O with an initial quality of 25% is contained in a piston–cylinder assembly as shown in figure. The mass of the piston is 40 kg, and its diameter is 10 cm. The atmospheric pressure of the surroundings is 1 bar. The initial and final positions of the piston are shown on the diagram. As the water is heated, the pressure inside the cylinder remains constant until the piston hits the stops. Heat transfer to the water continues until its pressure is 3 bar. Friction between the piston and the cylinder wall is negligible. Determine the total amount of heat transfer, in J. Let g 9.81 m/s2.arrow_forward
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