An aircraft piston engine that burns gasoline (heat of combustion5.0 * 10^7 J/kg) has a power output of 1.10 * 10^5 W. (a) Howmuch work does this engine do in 1.00 h? (b) This engine burns 34 kgof gasoline per hour. How much heat does the engine take in per hour?(c) What is the efficiency of the engine?
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An aircraft piston engine that burns gasoline (heat of combustion
5.0 * 10^7 J/kg) has a power output of 1.10 * 10^5 W. (a) How
much work does this engine do in 1.00 h? (b) This engine burns 34 kg
of gasoline per hour. How much heat does the engine take in per hour?
(c) What is the efficiency of the engine?
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- (a) What is the best coefficient of performance for a heat pump that has a hot reservoir temperature of 49.3°C and a cold reservoir temperature of -14.2°C? 4.07 How is the coefficient of performance related to the efficiency? What units should you use for the temperature? ]x (b) How much heat in kilocalories would it pump into the warm environment if 3.60 x 107 ) of work (10.0 kw h) is put into it? kcal (c) Assume the cost of this work input is 10¢/kW h. Also assume that the cost of direct production of heat by burning natural gas is 89.0¢ per therm (a common unit of energy for natural gas), where a therm equals 1.055 x 10 ). Compare the cost of producing the same amount of heat by each method. cost of heat pump cost of natural gasIn performing 154.0 J of work, an engine exhausts 65.0 J of heat. What is the efficiency of the engine? e = 29An automobile engine takes in 20 000 J of heat by burning fuel and delivers 5 000 J of mechanical work per cycle. (a) What is the efficiency of the engine? (b) How much heat is expelled to the environment per cycle?
- A heat pump removes 2060 J of heat from the outdoors and delivers 3060 J of heat to the inside of a house. (a) How much work does the heat pump need?(b) What is the coefficient of performance of the heat pump?A car engine has an efficiency of 23% and produces an average mechanical work of 26 kJ/s during its operation. (a) How much heat per second input (QH) is needed? and (b) how much heat is discarded as waste heat (QL) per second?A large electrical power station generates 1050 MW of electricity with an efficiency of 37.0%. (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.) to Additional Materials O Reading CS Scanned with CamScanner
- Consider an inefficient engine that draws 200 J of heat from a hot reservoir at 100o C, converts 48 J to work, and rejects 152 J to a cold reservoir at 0o C. Theoretically, how much maximum work can be produced if the efficiency of the engine is maximized? How much work was lost by using this inefficient heat engine design? (Hint: Carnot Engine)Three coupled disks (shown in the figure) are touching each other, and are turning without slipping. They have radii rį = 0.2 m, T2 = 0.7 m and r3 4 m. If the angular acceleration of disk 1 is 0.1 rad/s, what is the angular accelerations of disk 3 in units of rad/s??Suppose that a heat engine takes 3.20 104 J of heat from the high-temperature reservoir to produce 1.90 104 J of mechanical work. (a) What is the efficiency of this engine? (b) How much waste heat does it produce?
- As a gasoline engine is running, an amount of gasoline containing 15,000J of chemical potential energy is burned in 1 s. During that second, the engine does 3,000 J of work. (b) The burning gasoline has a temperature of about 2500 K. The waste heat from the engine flows into air at about 300 K. What is the Carnot efficiency of a heat engine operating between these two temperatures?What is the ideal efficiency of an engine that runs at 3500 K when the surrounding air is 250 K? The chapters and topics based on these questions come from these concepts. (Phase Changes Thermodynamics.)An ideal heat pump, one that satisfies the Carnot relationship W = Qh11 - Tc>Th2, is used to heata room that is at 293 K. If the pump does 275 J of work, how much heat does it supply to the room ifthe outdoor temperature is (a) 273 K or (b) 263 K?