Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 18.4, Problem 18.3QQ
To determine
By what factor the cost of heating changes when electric heating system is replaced with an electric heat pump.
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The energy entering an electric heater by electrical transmission can be converted to internal energy with an efficiency of 100%. By what factor does the cost of heating your home change when you replace your electric heating system with an electric heat pump that has a COP of 3.50? Assume that the motor running the heat pump is 100% efficient.
A Carnot air conditioner takes energy from the thermal energy of a room at 70 F and transfers it as heat to the outdoors, which is at 96 F.For each joule of electric energy required to operate the air conditioner, how many joules are removed from the room?
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Chapter 18 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 18.1 - The energy input to an engine is 3.00 times...Ch. 18.3 - Prob. 18.2QQCh. 18.4 - Prob. 18.3QQCh. 18.6 - (a) Suppose you select four cards at random from a...Ch. 18.7 - Which of the following is true for the entropy...Ch. 18.7 - An ideal gas is taken from an initial temperature...Ch. 18.8 - True or False: The entropy change in an adiabatic...Ch. 18 - Prob. 1OQCh. 18 - Prob. 2OQCh. 18 - A refrigerator has 18.0 kJ of work done on it...
Ch. 18 - Prob. 4OQCh. 18 - Consider cyclic processes completely characterized...Ch. 18 - Prob. 6OQCh. 18 - Prob. 7OQCh. 18 - Prob. 8OQCh. 18 - A sample of a monatomic ideal gas is contained in...Ch. 18 - Assume a sample of an ideal gas is at room...Ch. 18 - Prob. 11OQCh. 18 - Prob. 1CQCh. 18 - Prob. 2CQCh. 18 - Prob. 3CQCh. 18 - Prob. 4CQCh. 18 - Prob. 5CQCh. 18 - Prob. 6CQCh. 18 - Prob. 7CQCh. 18 - Prob. 8CQCh. 18 - Prob. 9CQCh. 18 - Prob. 10CQCh. 18 - Prob. 11CQCh. 18 - Discuss three different common examples of natural...Ch. 18 - The energy exhaust from a certain coal-fired...Ch. 18 - Prob. 1PCh. 18 - Prob. 2PCh. 18 - Prob. 3PCh. 18 - Prob. 4PCh. 18 - Prob. 5PCh. 18 - Prob. 6PCh. 18 - Prob. 7PCh. 18 - Prob. 8PCh. 18 - Prob. 9PCh. 18 - Prob. 10PCh. 18 - Prob. 11PCh. 18 - Prob. 12PCh. 18 - Prob. 13PCh. 18 - Prob. 14PCh. 18 - Argon enters a turbine at a rate of 80.0 kg/min, a...Ch. 18 - Prob. 16PCh. 18 - A refrigerator has a coefficient of performance...Ch. 18 - Prob. 18PCh. 18 - Prob. 19PCh. 18 - In 1993, the U.S. government instituted a...Ch. 18 - Prob. 21PCh. 18 - Prob. 22PCh. 18 - Prob. 23PCh. 18 - Prob. 24PCh. 18 - A heat pump used for heating shown in Figure...Ch. 18 - Prob. 26PCh. 18 - Prob. 27PCh. 18 - An ice tray contains 500 g of liquid water at 0C....Ch. 18 - Prob. 29PCh. 18 - Prob. 30PCh. 18 - Prob. 31PCh. 18 - (a) Prepare a table like Table 18.1 for the...Ch. 18 - Prob. 33PCh. 18 - Prob. 34PCh. 18 - Prob. 35PCh. 18 - Prob. 36PCh. 18 - Prob. 37PCh. 18 - Prob. 38PCh. 18 - Prob. 39PCh. 18 - Prob. 40PCh. 18 - Prob. 41PCh. 18 - Prob. 42PCh. 18 - (a) Find the kinetic energy of the moving air in a...Ch. 18 - Prob. 45PCh. 18 - Prob. 46PCh. 18 - Prob. 47PCh. 18 - An idealized diesel engine operates in a cycle...Ch. 18 - Prob. 49PCh. 18 - Prob. 50PCh. 18 - Prob. 51PCh. 18 - Prob. 52PCh. 18 - Prob. 53PCh. 18 - Prob. 54PCh. 18 - Prob. 55PCh. 18 - Prob. 56PCh. 18 - Prob. 57PCh. 18 - Prob. 58PCh. 18 - Prob. 59PCh. 18 - Prob. 60PCh. 18 - Prob. 61PCh. 18 - Prob. 62PCh. 18 - A 1.00-mol sample of an ideal monatomic gas is...Ch. 18 - Prob. 64PCh. 18 - Prob. 65P
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- Show 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_forwardMany decisions are made on the basis of the payback period: the time it will take through savings to equal the capital cost of an investment. Acceptable payback times depend upon the business or philosophy one has. (For some industries, a payback period is as small as two years.) Suppose you wish to install the extra insulation. If energy cost $1.00 per million joules and the insulation was $4.00 per square meter, then calculate the simple payback time. Take the average for the 120 day heating season to be 15.0C.arrow_forwardYou observe a grasshopper eating a blade of grass. You know that each blade of grass contains 100 units of energy. You then measure the energy level of the grasshopper using a fancy device. You notice that the grasshopper only has 20 units of Energy after eating two blades of grass. Based on what you have learned about thermodynamics, where did the rest of the energy go?arrow_forward
- A heat engine extracts 55 kJ from the hot reservoir and exhausts 40 kJ into the cold reservoir. What are (a) the work done and (b) the efficiency?arrow_forwardA typical coal-fired power plant burns 340 metric tons of coal every hour to generate 2.5 × 106 MJ of energy. One metric ton has a mass of 1000 kg and a metric ton of coal has a volume of 1.5 m^3. The heat of combustion is 28 MJ/kg. What is the power plant’s efficiency?arrow_forwardThe power output of a car engine running at 2300 rpmrpm is 300 kW . (a) How much work is done per cycle if the engine's thermal efficiency is 40.0 %?Give your answer in kJ. Win =7.83kJ (b)How much heat is exhausted per cycle if the engine's thermal efficiency is 40.0 %?Give your answer in kJ.arrow_forward
- a) According to the First Law of Thermodynamics, how much did the thermal energy of a system change if we did 1500 J of work on the system, while the system lost 750 J of heat to the environment? b) A heat engine extracts 55 kJ from the hot reservoir and exhausts 40 kJ into the cold reservoir. How much work was done and what is the efficiency, e?arrow_forwardIceland has both high geothermal activity, with high temperatures near the surface, and abundant cold surface water. Iceland has many power plants that take advantage of the proximity of these natural hot and cold reservoirs. One plant uses an underground source at 122°C as the hot reservoir and a nearby lake at 5°C as the cold reservoir. The plant draws 16 MW from the hot reservoir to produce 1.8 MW of electricity. How does the actual efficiency of the plant compare to the theoretical maximum efficiency?arrow_forwardEnergy as heat is input into a steam turbine to convert 13.0 kg of liquid water at 25.0°C to water vapor at 100.0°C every hour. The efficiency of this heat engine is 21.8%. (A) What is the power output of the heat engine, in watts? (B) The temperature of the heat engine's boiler is 100.0°C, while the exhaust reservoir is maintained at 8.00°C. What is the difference between the theoretical maximum efficiency if the engine, and its actual efficiency? Please express your answer as a percentage.arrow_forward
- A machinist polishes a 0.50-kg copper fitting with a piece of emery cloth for 2.0 min. He moves the cloth across the fitting at a constant speed of 1.0 m/s by applying a force of 20 N, tangent to the surface of the fitting. (a) What is the total work done on the fitting by the machinist? (b) What is the increase in the internal energy of the fitting? Assume that the change in the internal energy of the cloth is negligible and that no heat is exchanged between thefitting and its environment. (c) What is the increase in the temperature of the fitting?arrow_forwardA refrigerator does 26.0 k) of work while moving 107 kJ of thermal energy from inside the refrigerator. (a) Calculate the refrigerator's coefficient of performance. (b) Calculate the energy it transfers to its environment. kJarrow_forwardA heat engine does 9,200 J of work per cycle while absorbing 22.0 kcal of heat from a high-temperature reservoir. What is the efficiency of this engine? (1 kcal = 4186 J)arrow_forward
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