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engr2010-f11-hw05

engr2010-f11-hw05 - 4 Steam enters an adiabatic turbine at...

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ENGR 2010 Thermodynamics I: Homework Set 5 1. A dam in western North Carolina takes a 30 m 3 /s flow of water from the Nantahala river and diverts it to a turbine through a 2 m diameter pipe. The elevation drop from the inlet to the exit is 300 m. Calculate the mass averaged velocity through the pipe, and estimate the power output of the turbine, assuming negligible changes in KE and temperature of the flow. 2. Air enters an adiabatic compressor at 300 K and 1 atm pressure, with a volumetric flow rate of 10 L/s. It exits at 600 K and 10 atm pressure. Calculate the power input to the compressor. State all assumptions. 3. Saturated R-134a vapor enters an adiabatic compressor at -10 C, 200 kPa, and exits at 100 C, 1 MPa. Calculate the work input to the compressor per unit mass.
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Unformatted text preview: 4. Steam enters an adiabatic turbine at 2 MPa, 300 ◦ C and exits at 50 kPa. The mass ﬂow rate through the turbine is 2 kg/s, and the turbine produces a power output of 1350 kW. Calculate the exit temperature and the exit quality, if saturated. 5. A mass ﬂow of 3 kg/s of saturated liquid water at 2 MPa enters a 5–cm diameter boiler pipe. The water exits at 2 MPa pressure. The rate of heat transfer to the water is 7780 kW. (a) Neglecting KE at the exit, calculate the exit temperature and exit speciﬁc volume. (b) Use the result in a), along with the given mass ﬂow and pipe diameter, calculate the exit velocity. Should KE be included at the exit. (c) Using your result from b) as an estimate of the exit velocity, recalculate the exit temperature....
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