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Modern Engineering Thermodynamics

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200 CHAPTER 6: First Law Open System Applications<br />

p = 200. psia<br />

FIGURE 6.23<br />

Problem 18.<br />

Steam flow<br />

T = 300.°F<br />

p = 20.0 psia<br />

19. Wet steam is throttled adiabatically and aergonically from 800. psia<br />

to 5.00 psia and 200.°F. If the inlet and exit velocities and heights<br />

are equal, what is the ratio of exit area to inlet area for this device?<br />

20.* When the pressure on saturated liquid water is suddenly reduced<br />

in an adiabatic, aergonic, steady flow process, the exit state<br />

temperature must also be reduced to reach the new equilibrium<br />

state. Consequently, part of the initial liquid is very quickly<br />

converted into a saturated vapor at the lower pressure, with the<br />

vaporization energy (i.e., heat of vaporization) coming from the<br />

remaining liquid. In this way, the remaining liquid is cooled to<br />

the new (lower) equilibrium temperature. The resulting vapor is<br />

called flash steam because the liquid appears to “flash” into a<br />

vapor as it expands into the low-pressure region. Determine the<br />

exit temperature and percent of flash steam produced as saturated<br />

liquid water at 10.0 MPa is throttled through a partially open<br />

valve and discharged into the atmosphere adiabatically,<br />

aergonically, and with no change in kinetic or potential energy.<br />

21. Refrigerant-22 is flowing steadily through a refrigerator throttling<br />

valve at the rate of 10.0 lbm/min. At the valve inlet, the R-22 is<br />

a saturated liquid at 80.0°F. At the valve outlet, the pressure is<br />

31.162 psia. If the process can be considered aergonic, adiabatic,<br />

and with no change in kinetic or potential energy, find the<br />

quality at the valve outlet.<br />

22.* The insulated vortex tube shown in Figure 6.24 contains no<br />

moving mechanical parts, yet it has the ability to separate the<br />

inlet air flow stream into hot and cold outlet air flow streams.<br />

Recorded test data are<br />

23. Aerosol sprays are commonly used today for such things as hair<br />

sprays, shaving creams, deodorants, paints, and perfumes. At<br />

times, various inert gases have been used as the propellant<br />

medium for the active chemicals. Consider the design of a new<br />

deodorant that uses ammonia as the propellant medium. The<br />

spraying process is a simple throttling process (neglect kinetic<br />

and potential energy terms). If the can is at 80.0°F and 70.0 psia<br />

and it is spread into the atmosphere at 15.0 psia, then (a) at<br />

what temperature does the ammonia spray enter the<br />

atmosphere? (b) Draw this process on an h-T diagram and label<br />

all the relevant enthalpies and temperatures.<br />

24.* Determine the inlet quality and the Joule-Thomson coefficient of<br />

wet steam that is throttled from 1.00 to 0.100 MPa and 150.°C.<br />

25.* Estimate the Joule-Thomson temperature change that occurs<br />

as air is throttled from a pressure of 100. atm and 50.0°C to<br />

1.00 atm.<br />

26.* Estimate the Joule-Thomson temperature change as carbon<br />

dioxide is throttled from a pressure of 60.0 atm and exactly 0°C<br />

to 1.00 atm.<br />

27. Refrigerant-22 enters a condenser at 30.0°F with a quality of<br />

85.0% at a mass flow rate of 5.00 lbm/min. What is the<br />

smallest diameter tubing that can be used if the velocity of the<br />

refrigerant must not exceed 20.0 ft/s?<br />

28.* How much electrical power (in kilowatts) is required to<br />

isothermally convert 10.0 kg/min of water from a saturated<br />

liquid to a saturated vapor at 100.°C in an electrically heated<br />

and completely insulated electric boiler?<br />

29.* The hot and cold water faucets on a bathroom sink have water<br />

available at 80.0 and 15.0°C, respectively. When the faucets are<br />

opened, the sink drain is also open so that water leaves the sink<br />

as fast as it enters. Determine the ratio of hot water to cold<br />

water mass flow rates needed to produce a mixture temperature<br />

of 30.0°C in the sink.<br />

30. The steady state, steady flow, adiabatic, aergonic feedwater<br />

heater shown in Figure 6.25 is used in an electric power plant. It<br />

mixes superheated steam with saturated liquid water to produce<br />

a low-quality outflow, in which 10.0 lbm/s of superheated<br />

steam at 80.0 psia and 500.°F is mixed with saturated liquid<br />

water at 80.0 psia. The outlet stream has a quality of 10.0% at<br />

80.0 psia. What is the mass flow rate of the saturated liquid<br />

water flow stream?<br />

Inlet pressure, p 1 = 0:690 MPa gauge<br />

Inlet temperature, T 1 = 20:0°C<br />

Hot side outlet temperature, T H = 82:0°C<br />

Hot side mass flow rate, _m H = 0:136 kg/min<br />

Cold side mass flow rate, _m C = 0:318 kg/min<br />

Calculate the cold side temperature, T c .<br />

Superheated<br />

steam<br />

Saturated<br />

liquid water<br />

FIGURE 6.25<br />

Problem 30.<br />

Feedwater<br />

heater<br />

Mixture at<br />

80.0 psia and<br />

10.0% quality<br />

m H<br />

FIGURE 6.24<br />

Problem 22.<br />

m in<br />

p in<br />

m C<br />

T C = ?<br />

31.* An insulated aergonic condenser for a large power plant receives<br />

3.00 × 10 6 kg/h of saturated water vapor at 6.00 kPa from a<br />

turbine and condenses it to saturated liquid at 6.00 kPa. Lake<br />

water is used to condense the steam and it is desired to<br />

maintain the inlet water temperature at 4.50°C and the outlet<br />

water temperature at 15.5°C. (a) What flow rate of lake water is<br />

required for an adiabatic, aergonic condenser and (b) what is<br />

the rate of heat transfer from the condensing steam to the lake<br />

water?

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