A system consist softwopower plants that must deliver loads over a transmission network. The costs of generating power at plants 1 and 2 are given by
where
The total demand for power is 30 and
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Chapter 16 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
- The figure shows a heat engine (HE) working between two reservoirs. The amount of heat (Q2) rejected by the heat engine is drawn by a heat pump (HP). The heat pump receives the entire work output (W) of the heat engine. If temperatures. T1 > T3 > T2, then the relation between the efficiency (n) of the heat engine and the coefficient of performance (COP) of the heat pump is HE HParrow_forwardA large electrical power station generates 1100 MW of electricity with an efficiency of 35.0%. (a) Calculate the heat transfer (in J) to the power station, Q, in one day. (b) How much heat transfer Q. (in J) occurs to the environment in one day? (c) If the heat transfer in the cooling towers is from 35.0°C water into the local air mass, which increases in temperature from 18.0°C to 20.0°C, what is the total increase in entropy (in J/K) due to this heat transfer? J/K (d) How much energy (in J) becomes unavailable to do work because of this increase in entropy, assuming an 18.0°C lowest temperature? (Part of Q. could be utilized to operate heat engines or for simple space heating, but it rarely is.)arrow_forward1.5. A refrigerator is used to cool 4 litres of soft drink from room temperature (25 °C) to 3 °C. If the density of the soft drink is 1015 kg/m3 (1 litre = 0.001 m³), how much heat must be removed if the specific heat of the soft drink is 4350 J/kg °C. 1.6. An engine operating in a cycle absorbs 5000 cal of the heat from a heat source and performs 2000 cal of work. Calculate: (a) The amount of heat discarded in this cycle (b) The efficiency of the enginearrow_forward
- Q2: A) For the system depicted in figure (2), find the overall efficiency of the system if 80%, n2 = 95%, and n3 = 70%arrow_forwardA System executes a power cycle while recieving 750 kJ by heat transfer at a temperature of i500°k and discharging 100 k) by heat transfer at 500°K. Another heat transfer from the system occurs at 1000 °K. Determine the maximum possibe thermal efficiency Of the System using 5 Sigifigant figures.arrow_forwardThe figure shows two power cycles, A and B, operating in series, with the energy transfer by heat into cycle B equal in magnitude to the energy transfer by heat from cycle A. All energy transfers are positive in the directions of the arrows. Determine an expression for the thermal efficiency of an overall cycle consisting of cycles A and B together in terms of their individual thermal efficiencies. WA WB (a) A and B in series 2₁ Q3 WA + WB (b) Overall cyclearrow_forward
- 1. the system of a fixed displacement pump and a fixed delivery motor is shown in Pp Figure 1. Outlet pressure of pump 10Mpa , displacement of V. P = 10mL/ = pump r, speed of pump n, 'p = 1450r/min , mechanical efficiency of pump 1 mp = Nvp 0.9, volumetric efficiency of pump = 0.9, displacement of motor V 10mL/ m = Nym r, mechanical efficiency of motor Tmm =0.9, volumetric efficiency of motor =0.9, pressure losses between pump outlet port and motor inlet port 0.2Mpa , other losses is not considered. Calculate : 1) input power of pump; 2) output power of pump; 3) speed of motor, Actual torque of motor and output power of motor Figure 1arrow_forwardA group is considering installing a solar power station and has asked you for your recommendation if it should be a photovoltaic system or a solar thermal system. At this stage you are asked not to include cost factors. The single point design condition they have given you is for an incident solar radiation on the collector of 550 W/m2, a surrounding temperature of 18 C. The dead state for this problem should be taken as To = 291 K, Po = 1 bar. You can perform your analysis at steady state conditions. In addition to determining the power output and first law efficiency of the options, you have been requested to determine the exergy destroyed for each of them. The photovoltaic system has an efficiency of 0.15 defined as the power output/incident solar radiation. The basic photovoltaic collector is 1.1 m2 and losses heat from both the front and back surface. The edge area can be neglected. The convective heat transfer coefficient is 10 W/m2 K. The inverter and signal…arrow_forwardA group is considering installing a solar power station and has asked you for your recommendation if it should be a photovoltaic system or a solar thermal system. At this stage you are asked not to include cost factors. The single point design condition they have given you is for an incident solar radiation on the collector of 550 W/m2, a surrounding temperature of 18 C. The dead state for this problem should be taken as To = 291 K, Po = 1 bar. You can perform your analysis at steady state conditions. In addition to determining the power output and first law efficiency of the options, you have been requested to determine the exergy destroyed for each of them. The photovoltaic system has an efficiency of 0.15 defined as the power output/incident solar radiation. The basic photovoltaic collector is 1.1 m2 and losses heat from both the front and back surface. The edge area can be neglected. The convective heat transfer coefficient is 10 W/m2 K. The inverter and signal conditioning…arrow_forward
- give a specific example of a process that has the energy changes and transfers described. (For example, if the question states “ΔEth > 0, W = 0,” you are to describe a process that has an increase in thermal energy and no transfer of energy by work. You could write “Heating a pan of water on the stove.”) ΔEth < 0, W ≠ 0, Q ≠ 0arrow_forward2) When the pressure increase lead to volume is A: Increase B: Decrease C: Constant Q7: An air conditioning system is used to maintain a house at a constant temperature of 20 C. The house is gaining heat from outdoors at a rate of 21000 kJ/h, and the heat generated in the house from the people, lights, and appliances amounts to 9000 kJ/h. For a COP of 2.4, determine the required power input to this air conditioning system. Your answerarrow_forwardA power plant load is represented by an average daily load given by the following table: Time 2 3 4 5 7 8 10 11 12 (A.M) Load (kw) 220 200 190 180 180 200 300 410 560 590 610 605 Time 1 2 4 7 8 10 11 12 (Р.M) Load (kw) 500 620 670 760 1000 930 900 870 850 720 | 600 | 380 This load is carried out by one 1200 kW steam turbo generating unit which has a steam demand represented by the equation m;= 907.2+4.99 L (kg/hr) Where; L in kw Draw the load curve and find: i. The load factor ii. Capacity factor iii. Rate of steam used per day 9,arrow_forward
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