Question

CHAPTER 10 10-136 A 10-MW geothermal power plant is being consid- ered at a site where geothermal water at 230°C is available. Geothermal water is to be flashed into a chamber to a lower pressure where part of the water evaporates. The liquid is returned to the ground while the vapor is used to drive the steam turbine. The pressures at the turbine inlet and the tur- bine exit are to remain above 200 kPa and 8 kPa, respec- tively. High-pressure flash chambers yield a small amount of steam with high exergy whereas lower-pressure flash cham- bers yield considerably more steam but at a lower exergy. By trying several pressures, determine the optimum pressure of the flash chamber to maximize the power production per unit mass of geothermal water withdrawn. Also, determine the thermal efficiency for each case assuming 10 percent of the r produced is used to drive the pumps and other auxil- iary equipment. Turbine Flash chamber 230°C Geothermal water

Answer 1

23 с 2- 1

Su "Ppose eChoose. sH Ca se = 3 bak ase- 1- 2 Boile So, at Point 1 , ho-hi-S90.3 kg 019822 2163 - 2 Net power Output Wnet = (h2-yxx, _ ο..oday ha h Malliee Diagra 2137.213 K Anet 0.30×0-19822 x (2724.7-21 27,213) 3-9c8.S 0.0433 888-7 2o ba 27 97. 2 KJ 9 81.41 K

Ya 9S-7474 KJ K9 На 2l07.4 n2133 kg 1.86 KT o Above Cases ehce Bailee = 3 bae. 300 кра