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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Chapter 4, Problem 4.14P
To determine
Mass Flow Rate at inlet and exit.
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Refrigerant 134a enters an insulated diffuser as a saturated vapor at 80°F with a velocity of 1400 ft/s. The inlet area is 1.4 in?. At the
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Determine the mass flow rate, in Ib/s, and the exit temperature, in °F.
Where necessary, assume air as an ideal gas and consider R = 287J/(kg.K), Cp = 1005 J/(kg.K), Cv = 718 J/(kg.K).
A nozzle is a device that is used to increase the velocity of a fluid by varying the cross-sectional area. At the last section of a jet engine (Fig Q1.a, section 5), air with a mass flow rate of 50 kg/s at a pressure of 500 kPa and a temperature of 600 K enters a nozzle with an inlet cross-sectional area of 5 m2. The exit area of the nozzle is 20% of its inlet area. The air leaves the nozzle at a velocity of 300 m/s. The nozzle is not well-insulated and duringthis process, 5 kJ/kg heat is lost.
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Consider the arrangement shown in Fig. 1. For this setup the streams of air and water floware separated, and the air is modelled as an ideal gas. The data for steady-state operationis shown in the figure. Assume that heat transfer to the surroundings can be neglected.Questions:Determine:(a) the total power required by both compressors, in kW(b) the velocity of the air at the exit of the nozzle, in m/s(c) the mass flow rate of the water, in kg/s(d) the power required by the pump, in kW
Chapter 4 Solutions
Fundamentals Of Engineering Thermodynamics
Ch. 4 - Prob. 4.1ECh. 4 - Prob. 4.2ECh. 4 - Prob. 4.3ECh. 4 - Prob. 4.4ECh. 4 - Prob. 4.5ECh. 4 - Prob. 4.6ECh. 4 - Prob. 4.7ECh. 4 - Prob. 4.8ECh. 4 - Prob. 4.9ECh. 4 - Prob. 4.10E
Ch. 4 - Prob. 4.11ECh. 4 - Prob. 4.12ECh. 4 - Prob. 4.13ECh. 4 - Prob. 4.14ECh. 4 - Prob. 4.15ECh. 4 - Prob. 4.1CUCh. 4 - Prob. 4.2CUCh. 4 - Prob. 4.3CUCh. 4 - Prob. 4.4CUCh. 4 - Prob. 4.5CUCh. 4 - Prob. 4.6CUCh. 4 - Prob. 4.7CUCh. 4 - Prob. 4.8CUCh. 4 - Prob. 4.9CUCh. 4 - Prob. 4.10CUCh. 4 - Prob. 4.11CUCh. 4 - Prob. 4.12CUCh. 4 - Prob. 4.13CUCh. 4 - Prob. 4.14CUCh. 4 - Prob. 4.15CUCh. 4 - Prob. 4.16CUCh. 4 - Prob. 4.17CUCh. 4 - Prob. 4.18CUCh. 4 - Prob. 4.19CUCh. 4 - Prob. 4.20CUCh. 4 - Prob. 4.21CUCh. 4 - Prob. 4.22CUCh. 4 - Prob. 4.23CUCh. 4 - Prob. 4.24CUCh. 4 - Prob. 4.25CUCh. 4 - Prob. 4.26CUCh. 4 - Prob. 4.27CUCh. 4 - Prob. 4.28CUCh. 4 - Prob. 4.29CUCh. 4 - Prob. 4.30CUCh. 4 - Prob. 4.31CUCh. 4 - Prob. 4.32CUCh. 4 - Prob. 4.33CUCh. 4 - Prob. 4.34CUCh. 4 - Prob. 4.35CUCh. 4 - Prob. 4.36CUCh. 4 - Prob. 4.37CUCh. 4 - Prob. 4.38CUCh. 4 - Prob. 4.39CUCh. 4 - Prob. 4.40CUCh. 4 - Prob. 4.41CUCh. 4 - Prob. 4.42CUCh. 4 - Prob. 4.43CUCh. 4 - Prob. 4.44CUCh. 4 - Prob. 4.45CUCh. 4 - Prob. 4.46CUCh. 4 - Prob. 4.47CUCh. 4 - Prob. 4.48CUCh. 4 - Prob. 4.49CUCh. 4 - Prob. 4.50CUCh. 4 - Prob. 4.51CUCh. 4 - Prob. 4.1PCh. 4 - Prob. 4.2PCh. 4 - Prob. 4.3PCh. 4 - Prob. 4.4PCh. 4 - Prob. 4.5PCh. 4 - Prob. 4.6PCh. 4 - Prob. 4.7PCh. 4 - Prob. 4.8PCh. 4 - Prob. 4.9PCh. 4 - Prob. 4.10PCh. 4 - Prob. 4.11PCh. 4 - Prob. 4.12PCh. 4 - Prob. 4.13PCh. 4 - Prob. 4.14PCh. 4 - Prob. 4.15PCh. 4 - Prob. 4.16PCh. 4 - Prob. 4.17PCh. 4 - Prob. 4.18PCh. 4 - Prob. 4.19PCh. 4 - Prob. 4.20PCh. 4 - Prob. 4.21PCh. 4 - Prob. 4.22PCh. 4 - Prob. 4.23PCh. 4 - Prob. 4.24PCh. 4 - Prob. 4.25PCh. 4 - Prob. 4.26PCh. 4 - Prob. 4.27PCh. 4 - Prob. 4.28PCh. 4 - Prob. 4.29PCh. 4 - Prob. 4.30PCh. 4 - Prob. 4.31PCh. 4 - Prob. 4.32PCh. 4 - Prob. 4.33PCh. 4 - Prob. 4.34PCh. 4 - Prob. 4.35PCh. 4 - Prob. 4.36PCh. 4 - Prob. 4.37PCh. 4 - Prob. 4.38PCh. 4 - Prob. 4.39PCh. 4 - Prob. 4.40PCh. 4 - Prob. 4.41PCh. 4 - Prob. 4.42PCh. 4 - Prob. 4.43PCh. 4 - Prob. 4.44PCh. 4 - Prob. 4.45PCh. 4 - Prob. 4.46PCh. 4 - Prob. 4.47PCh. 4 - Prob. 4.48PCh. 4 - Prob. 4.49PCh. 4 - Prob. 4.50PCh. 4 - Prob. 4.51PCh. 4 - Prob. 4.52PCh. 4 - Prob. 4.53PCh. 4 - Prob. 4.54PCh. 4 - Prob. 4.55PCh. 4 - Prob. 4.56PCh. 4 - Prob. 4.57PCh. 4 - Prob. 4.58PCh. 4 - Prob. 4.59PCh. 4 - Prob. 4.60PCh. 4 - Prob. 4.61PCh. 4 - Prob. 4.62PCh. 4 - Prob. 4.63PCh. 4 - Prob. 4.64PCh. 4 - Prob. 4.65PCh. 4 - Prob. 4.66PCh. 4 - Prob. 4.67PCh. 4 - Prob. 4.68PCh. 4 - Prob. 4.69PCh. 4 - Prob. 4.70PCh. 4 - Prob. 4.71PCh. 4 - Prob. 4.72PCh. 4 - Prob. 4.73PCh. 4 - Prob. 4.74PCh. 4 - Prob. 4.75PCh. 4 - Prob. 4.76PCh. 4 - Prob. 4.77PCh. 4 - Prob. 4.78PCh. 4 - Prob. 4.79PCh. 4 - Prob. 4.80PCh. 4 - Prob. 4.81PCh. 4 - Prob. 4.82PCh. 4 - Prob. 4.83PCh. 4 - Prob. 4.84PCh. 4 - Prob. 4.85PCh. 4 - Prob. 4.86PCh. 4 - Prob. 4.87PCh. 4 - Prob. 4.88P
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- Q-1(c): Consider a case in which the air inside the pressurized cabin of a jet transport flying at some altitude of pressure, 0.9 atm and of temperature, 15°C. The total volume of air at any instant inside the cabin is 1800m3. If the air in the cabin is completely recirculated through the air conditioning system every 20 min, calculate the mass flow of air in kg/s through the system. I Answer:arrow_forward55 kmol per hour of air is compressed from P1 = 1 bar to P2 = 6.1 bar in a steady flow compressor. Delivered mechanical power is 98.9 kW. Temperatures and velocities are: T1 = 301K T2 = 520 K, u1 = 10.8 m/s and u2 = 3.8 m/s. Estimate the rate of heat transfer from the compressor in kW, 3 decimal values. Assume that Cp = 7/2R and that enthalpy is independent of pressure.arrow_forwardAir at 90 degree C and 1.0 atm contains 10 mol% water. A continuous stream of this air enters a compressor-condenser, in which the temperature is lowered to 15.6 degree C and the pressure is raised to 3.0 atm. The air leaving the condenser is then heated isobarically to 100 degree C. Make a detailed flowchart with the unknowns and Degree of Freedom.arrow_forward
- The vapour pressure, p, of a gas varies with temperature as follows:arrow_forwardConsider the flow system illustrated below operating at steady state. Obtain the maximum value of the velocity in the pipe (3),u3max (in cm/s).arrow_forwardQ.6.A. Oxygen enters a nozzle with a negligible velocity at 440 K and 12 bar, and leaves at 1.9 bar. Determine the volumetric flow rate of the oxygen at the nozzle entrance if the nozzle exit area is 2.5 cm2 and the ratio of inlet temperature to the outlet equal 1.69. (Cy = 718 J/kg K and Cp = 1005 J/kg K)arrow_forward
- Vortex tube simple modeling [1] A vortex tube takes in high-pressure air at 650 kPa and 305 K, and splits it into two streams at a lower pressure, 100 kPa: one at a higher temperature of 325 K and one at a lower temperature. The fraction of mass entering that leaves at the cold outlet is f-0.25. The vortex tube operates continuously at steady state, is adiabatic, and performs/experiences no work. Air should be modeled as an ideal gas with constant specific heat: R=287 J/kg. K and Cp-1004 J/kg.K. cold outlet f=0.25 P₁-100 kPa inlet T₁ = 305 K P,- 650 kPa vortex tube hot outlet T₂-325 K P₂-100 kPa a) Determine the temperature at the cold end. Then, determine whether this device is physically possible. b) Analyze the effect of inlet pressure P1 (from 1 bar to 10 bars) on the cold end temperature. c) Consider the case of steam and repeat a) and b). d) Discuss the practical problems that may occur when using steam.arrow_forwardSaturated water vapor at 85 ° C comes out of a turbine and condenses on the outer surface of a cooling pipe 2 in diameter and 20 m long at a rate of 90 kg / hr. Find the rate of heat transfer from the steam to the cooling pipe.arrow_forwardThe figure shows data for a portion of the ducting in a ventilation system operating at steady state. The ducts are well insulated and the pressure is very nearly 1 atm throughout. The volumetric flow rate entering at state 2 is AV2 = 4000 ft3/min. Assume the ideal gas model for air with cp = 0.24 Btu/lb·oR and ignore kinetic and potential energy effects. Determine the temperature of the air at the exit, in oF, and the rate of entropy production within the ducts, in Btu/min·oR.arrow_forward
- Steam flows at a steady state through a converging insulated nozzle, 25cm long and with an inlet diameter of 5cm. At the nozzle entrance (state 1), the temperature and pressure are 325C and 700kPa and the velocity is 30ms1 At the nozzle exit(state 2), the steam temperature and pressure are 240C and 350kPa. What is the outlet volume and what will the diameter be, using steam tables?arrow_forward4.105 Separate streams of steam and air flow through the tur- bine and heat exchanger arrangement shown in Fig. P4.105. Steady-state operating data are provided on the figure. Heat transfer with the surroundings can be neglected, as can all kinetic and potential energy effects. Determine (a) T3, in K, and (b) the power output of the second turbinc, in kW. W 10,000 kW W = Turbine Turbine P3 = 10 bar T3= ? T= 400°C P2= 10 bar T=240°C P4 =1 bar Steam in ww www 4. T = 600°C P= 20 bar Ts= 1500 K 5 Ps=1.35 bar m = 1500 kg/min +6 Heat exchanger VT= 1200 K P6=1 bar Air in Fig 4.105arrow_forwardArgon gas flows through a well-insulated nozzle at steady state. The temperature and velocity at the inlet are 590°R and 150 ft/s, respectively. At the exit, the temperature is 500°R and the pressure is 40 Ib;/in?. The area of the exit is 0.0085 ft2. Use the ideal gas model with k = 1.67, and neglect potential energy effects. Determine the velocity at the exit, in ft/s, and the mass flow rate, in Ib/s.arrow_forward
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