College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 12, Problem 42P
To determine
The overall efficiency of two engine combination.
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Two heat engines are operated in series so that part of the energy expelled from engine A is absorbed by engine B with |QhB| = 0.750 |QcA|. Engines A and B have efficiencies eA = eB = 0.250 and engine A performs work WA = 275 J. Find the overall efficiency of the two-engine combination, given by e = (WA + WB) /Q|hA|
One of the most efficient engines ever built is a coal-fired steam turbine engine in the Ohio River valley, driving an electric generator as it operates between 1,870°C and 430°C.
(a) What is its maximum theoretical efficiency? %(b) Its actual efficiency is 42.0%. How much mechanical power does the engine deliver if it absorbs 1.00 ✕ 105 J of energy each second from the hot reservoir? kW
One of the most efficient engines ever built is a coal-fired steam turbine engine in the Ohio River valley, driving an electric generator as it operates between 1,870°C and 430°C.
(a) What is its maximum theoretical efficiency?
(b)Its actual efficiency is 42.0%. How much mechanical power does the engine deliver if it absorbs 1.35 ✕ 105 J of energy each second from the hot reservoir?
Chapter 12 Solutions
College Physics
Ch. 12.1 - By visual inspection, order the PV diagrams shown...Ch. 12.3 - Identify the paths A, B, C, and D in Figure 12.11...Ch. 12.4 - Three engines operate between reservoirs separated...Ch. 12.5 - Which of the following is true for the entropy...Ch. 12.5 - Prob. 12.5QQCh. 12 - Two identical containers each hold 1 mole of an...Ch. 12 - Which one of the following statements is true? (a)...Ch. 12 - Prob. 3CQCh. 12 - Prob. 4CQCh. 12 - For an ideal gas in an isothermal process, there...
Ch. 12 - An ideal gas undergoes an adiabatic process so...Ch. 12 - Is it possible to construct a heat engine that...Ch. 12 - A heat engine does work Weng while absorbing...Ch. 12 - When a sealed Thermos bottle full of hot coffee is...Ch. 12 - The first law of thermodynamics is U = Q + W. For...Ch. 12 - The first law of thermodynamics says we cant get...Ch. 12 - Objects A and B with TA TB are placed in thermal...Ch. 12 - Prob. 13CQCh. 12 - Prob. 14CQCh. 12 - An ideal gas is compressed to half its initial...Ch. 12 - A thermodynamic process occurs in which the...Ch. 12 - Prob. 17CQCh. 12 - An ideal gas is enclosed in a cylinder with a...Ch. 12 - Sketch a PV diagram and find the work done by the...Ch. 12 - Gas in a container is at a pressure of 1.5 atm and...Ch. 12 - Find the numeric value of the work done on the gas...Ch. 12 - A gas expands from I to F along the three paths...Ch. 12 - A gas follows the PV diagram in Figure P12.6. Find...Ch. 12 - A sample of helium behaves as an ideal gas as it...Ch. 12 - (a) Find the work done by an ideal gas as it...Ch. 12 - One mole of an ideal gas initially at a...Ch. 12 - (a) Determine the work done on a fluid that...Ch. 12 - A balloon holding 5.00 moles of helium gas absorbs...Ch. 12 - A chemical reaction transfers 1250 J of thermal...Ch. 12 - Prob. 13PCh. 12 - A cylinder of volume 0.300 m3 contains 10.0 mol of...Ch. 12 - A gas expands from I to F in Figure P12.5. The...Ch. 12 - In a running event, a sprinter does 4.8 105 J of...Ch. 12 - A gas is compressed at a constant pressure of...Ch. 12 - A quantity of a monatomic ideal gas undergoes a...Ch. 12 - A gas is enclosed in a container fitted with a...Ch. 12 - A monatomic ideal gas under-goes the thermodynamic...Ch. 12 - An ideal gas is compressed from a volume of Vi =...Ch. 12 - A system consisting of 0.025 6 moles of a diatomic...Ch. 12 - An ideal monatomic gas expands isothermally from...Ch. 12 - An ideal gas expands at constant pressure. (a)...Ch. 12 - An ideal monatomic gas contracts in an isobaric...Ch. 12 - An ideal diatomic gas expands adiabatically from...Ch. 12 - An ideal monatomic gas is contained in a vessel of...Ch. 12 - Consider the cyclic process described by Figure...Ch. 12 - A 5.0-kg block of aluminum is heated from 20C to...Ch. 12 - One mole of gas initially at a pressure of 2.00...Ch. 12 - A gas increases in pressure from 2.00 atm to 6.00...Ch. 12 - An ideal gas expands at a constant pressure of...Ch. 12 - A heat engine operates between a reservoir at 25C...Ch. 12 - A heat engine is being designed to have a Carnot...Ch. 12 - The work done by an engine equals one-fourth the...Ch. 12 - In each cycle of its operation, a heat engine...Ch. 12 - One of the most efficient engines ever built is a...Ch. 12 - A lawnmower engine ejects 1.00 104 J each second...Ch. 12 - An engine absorbs 1.70 kJ from a hot reservoir at...Ch. 12 - A heat pump has a coefficient of performance of...Ch. 12 - A freezer has a coefficient of performance of...Ch. 12 - Prob. 42PCh. 12 - In one cycle a heat engine absorbs 500 J from a...Ch. 12 - A power plant has been proposed that would make...Ch. 12 - Prob. 45PCh. 12 - A heat engine operates in a Carnot cycle between...Ch. 12 - A Styrofoam cup holding 125 g of hot water at 1.00...Ch. 12 - A 65-g ice cube is initially at 0.0C. (a) Find the...Ch. 12 - A freezer is used to freeze 1.0 L of water...Ch. 12 - What is the change in entropy of 1.00 kg of liquid...Ch. 12 - A 70.0-kg log falls from a height of 25.0 m into a...Ch. 12 - A sealed container holding 0.500 kg of liquid...Ch. 12 - Prob. 53PCh. 12 - When an aluminum bar is temporarily connected...Ch. 12 - Prepare a table like Table 12.3 for the following...Ch. 12 - Prob. 56PCh. 12 - Prob. 57PCh. 12 - Prob. 58PCh. 12 - Sweating is one of the main mechanisms with which...Ch. 12 - Prob. 60PCh. 12 - Suppose a highly trained athlete consumes oxygen...Ch. 12 - A Carnot engine operates between the temperatures...Ch. 12 - Prob. 63APCh. 12 - A Carnot engine operates between 100C and 20C. How...Ch. 12 - A substance undergoes the cyclic process shown in...Ch. 12 - When a gas follows path 123 on the PV diagram in...Ch. 12 - Prob. 67APCh. 12 - An ideal gas initially at pressure P0, volume V0,...Ch. 12 - One mole of neon gas is heated from 300. K to 420....Ch. 12 - Every second at Niagara Falls, approximately 5.00 ...Ch. 12 - A cylinder containing 10.0 moles of a monatomic...Ch. 12 - Prob. 72APCh. 12 - Suppose you spend 30.0 minutes on a stair-climbing...Ch. 12 - Hydrothermal vents deep on the ocean floor spout...Ch. 12 - An electrical power plant has an overall...Ch. 12 - A diatomic ideal gas expands from a volume of VA =...
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- A heat pump has a coefficient of performance of 3.80 and operates with a power consumption of 7.03 103 W. (a) How much energy does it deliver into a home during 8.00 h of continuous operation? (b) How much energy does it extract from the outside air?arrow_forwardThe energy input to an engine is 3.00 times greater than the work it performs. (i) What is its thermal efficiency? (a) 3.00 (b) 1.00 (c) 0.333 (d) impossible to determine (ii) What fraction of the energy input is expelled to the cold reservoir? (a) 0.333 (b) 0.667 (c) 1.00 (d) impossible to determinearrow_forwardShow that the coefficients of performance of refrigerators and heat pumps are related by COPref=COPhp1. Start with the definitions of the COP s and the conservation of energy relationship between Qh, QC, and W.arrow_forward
- A multicylinder gasoline engine in an airplane, operating at 2.50 103 rev/min, takes in energy 7.89 103 J and exhausts 4.58 103 J for each revolution of the crankshaft. (a) How many liters of fuel does it consume in 1.00 h of operation if the heat of combustion of the fuel is equal to 4.03 107 J/L? (b) What is the mechanical power output of the engine? Ignore friction and express the answer in horsepower. (c) What is the torque exerted by the crankshaft on the load? (d) What power must the exhaust and cooling system transfer out of the engine?arrow_forwardThe energy output of a heat pump is greater than the energy used to operate the pump. Why doesn't this statement violate the first law of thermodynamics?arrow_forwardWhich of the following is true for the entropy change of a system that undergoes a reversible, adiabatic process? (a) S 0 (b) S = 0 (c) S 0arrow_forward
- A Carnot engine has an efficiency of 0.60. When the temperature of its cold reservoir the efficiency drops to 0.55. If initially Tc=27, determine (a) the constant value of Th and (b) the final value of Tc.arrow_forwardConsider the process shown below. During steps AB and BC, 3600 J and 2400 J of heat, respectively, are added to the system. (a) Find the work done in each of the processes AB, BC, AD, and DC. (b) Find the internal energy change in processes AB and BC. (c) Find the internal energy difference between states C and A (d) Find the total heat added in the ADC process. (e) From the information given, can you find the heat added in process AD? Why or why not?arrow_forwardA heat engine operates between two temperatures such that the working substance of the engine absorbs 5000 J of heat from the high-temperature bath and discharges 3000 J to the low-temperature bath. The rest of the energy is converted into mechanical energy of the turbine. Find (a) the amount of work produced by the engine and (b) the efficiency of the engine.arrow_forward
- A car salesperson claims that a 300-hp engine is a necessary option in a compact car, in place of the conventional 130-hp engine. Suppose you intend to drive the car within speed limits ( 65 mi/h) on flat terrain. How would you counter this sales pitch?arrow_forwardWhen 400 J of heat are slowly added to 10 mol of an ideal monatomic gas, its temperature rises by 10 . What is the work done on the gas?arrow_forwardOf the following, which is not a statement of the second law of thermodynamics? (a) No heat engine operating in a cycle can absorb energy from a reservoir and use it entirely to do work, (b) No real engine operating between two energy reservoirs can be more efficient than a Carnot engine operating between the same two reservoirs, (c) When a system undergoes a change in state, the change in the internal energy of the system is the sum of the energy transferred to the system by heat and the work done on the system, (d) The entropy of the Universe increases in all natural processes, (e) Energy will not spontaneously transfer by heat from a cold object to a hot object.arrow_forward
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