University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
14th Edition
ISBN: 9780321982582
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Textbook Question
Chapter 20, Problem 20.10DQ
Compare the pV-diagram for the Otto cycle in Fig. 20.6 with the diagram for the Carnot
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Calculate the efficiency of the Carnot Engine for ideal gas. Consider the figure below for a complete cycle of Carnot engine,
where the cycle goes from ad->ab->bc->cd
Carnot cycle
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2016 Pearson Education, Inc.
Calculate the efficiency of the Carnot Engine for ideal gas. Consider the figure below for a complete cycle of Carnot
engine, where the cycle goes from ad->ab->bc->cd
Carnot cycle
Он
TH
-Tc
e 2016 Pearson Education, Inc.
An engineer decided to design a hybrid engine half-way between the Carnot and Otto Cycles based on using 35 moles of a diatomic gas. It features (a) an adiabatic expansion for power, (b) an isothermal compression to reset, and (c) an isovolumetric temperature injection. Some of the key state values are given on the P-V chart for the transition points between the processes.
What is the
1) net work performed by the engine,
2) the amount of heat injected the isovolumetric temperature increase (QH), and
3) based on these values, what is the efficiency of the engine?Solve for other state variables as necessary
How much more efficient would a Carnot engine be acting between these same temperatures?
Chapter 20 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
Ch. 20.1 - Your left and right hands are normally at the same...Ch. 20.2 - Rank the following heat engines in order from...Ch. 20.3 - For an Otto-cycle engine with cylinders of a fixed...Ch. 20.4 - Can you cool your house by leaving the...Ch. 20.5 - Would a 100%-efficient engine (Fig. 20.11a)...Ch. 20.6 - An inventor looking for financial support comes to...Ch. 20.7 - Suppose 2.00 kg of water at 50C spontaneously...Ch. 20.8 - A quantity of N molecules of an ideal gas...Ch. 20 - A pot is half-filled with water, and a lid is...Ch. 20 - Prob. 20.2DQ
Ch. 20 - Prob. 20.3DQCh. 20 - Prob. 20.4DQCh. 20 - Why must a room air conditioner be placed in a...Ch. 20 - Prob. 20.6DQCh. 20 - Prob. 20.7DQCh. 20 - An electric motor has its shaft coupled to that of...Ch. 20 - When a wet cloth is hung up in a hot wind in the...Ch. 20 - Compare the pV-diagram for the Otto cycle in Fig....Ch. 20 - The efficiency of heat engines is high when the...Ch. 20 - What would be the efficiency of a Carnot engine...Ch. 20 - Real heat engines, like the gasoline engine in a...Ch. 20 - Does a refrigerator full of food consume more...Ch. 20 - In Example 20.4, a Carnot refrigerator requires a...Ch. 20 - How can the thermal conduction of heat from a hot...Ch. 20 - Explain why each of the following processes is an...Ch. 20 - The free expansion of an ideal gas is an adiabatic...Ch. 20 - Are the earth and sun in thermal equilibrium? Are...Ch. 20 - Prob. 20.20DQCh. 20 - Prob. 20.21DQCh. 20 - Prob. 20.22DQCh. 20 - BIO A growing plant creates a highly complex and...Ch. 20 - A diesel engine performs 2200 J of mechanical work...Ch. 20 - An aircraft engine takes in 9000 J of heat and...Ch. 20 - A Gasoline Engine. A gasoline engine takes in 1.61...Ch. 20 - A gasoline engine has a power output of 180 kW...Ch. 20 - The pV-diagram in Fig. E20.5 shows a cycle of heat...Ch. 20 - (a) Calculate the theoretical efficiency for an...Ch. 20 - The Otto-cycle engine in a Mercedes-Benz SL1 a...Ch. 20 - Section 20.4 Refrigerators 20.8The coefficient of...Ch. 20 - A refrigerator has a coefficient of performance of...Ch. 20 - A freezer has a coefficient of performance of...Ch. 20 - A refrigerator has a coefficient of performance of...Ch. 20 - A Carnot engine is operated between two heat...Ch. 20 - A Carnot engine whose high-temperature reservoir...Ch. 20 - An ice-making machine operates in a Carnot cycle....Ch. 20 - A Carnot engine has an efficiency of 66% and...Ch. 20 - A certain brand of freezer is advertised to use...Ch. 20 - A Carnot refrigerator is operated between two heat...Ch. 20 - A Carnot heat engine uses a hot reservoir...Ch. 20 - You design an engine that takes in 1.50 104 J of...Ch. 20 - A 4.50-kg block of ice at 0.00C falls into the...Ch. 20 - A sophomore with nothing better to do adds heat to...Ch. 20 - CALC You decide to take a nice hot bath but...Ch. 20 - A 15.0-kg block of ice at 0.0C melts to liquid...Ch. 20 - CALC You make tea with 0.250 kg of 85.0C water and...Ch. 20 - Three moles of an ideal gas undergo a reversible...Ch. 20 - What is the change in entropy of 0.130 kg of...Ch. 20 - (a) Calculate the change in entropy when 1.00 kg...Ch. 20 - Entropy Change Due to Driving. Premium gasoline...Ch. 20 - CALC Two moles of an ideal gas occupy a volume V....Ch. 20 - A box is separated by a partition into two parts...Ch. 20 - CALC A lonely party balloon with a volume of 2.40...Ch. 20 - You are designing a Carnot engine that has 2 mol...Ch. 20 - CP An ideal Carnot engine operates between 500C...Ch. 20 - Prob. 20.34PCh. 20 - CP A certain heat engine operating on a Carnot...Ch. 20 - A heat engine takes 0.350 mol of a diatomic ideal...Ch. 20 - Prob. 20.37PCh. 20 - What is the thermal efficiency of an engine that...Ch. 20 - CALC You build a heal engine that takes 1.00 mol...Ch. 20 - CP As a budding mechanical engineer, you are...Ch. 20 - CALC A heal engine Operates using the cycle shown...Ch. 20 - CP BIO Humun Entropy. A person who has skin of...Ch. 20 - An experimental power plant at the Natural Energy...Ch. 20 - CP BIO A Human Engine. You decide to use your body...Ch. 20 - CALC A cylinder contains oxygen at a pressure of...Ch. 20 - A monatomic ideal gas it taken around the cycle...Ch. 20 - A Carnot engine operates between two heat...Ch. 20 - A typical coal-fired power plant generates 1000 MW...Ch. 20 - Automotive Thermodynamics. A Volkswagen Passat has...Ch. 20 - An air conditioner operates on 800 W of power and...Ch. 20 - The pV-diagram in Fig. P20.51 shows the cycle for...Ch. 20 - BIO Human Entropy. A person with skin of surface...Ch. 20 - CALC An object of mass m1, specific heat c1, and...Ch. 20 - CALC To heat 1 cup of water (250 cm3) to make...Ch. 20 - DATA In your summer job with a venture capital...Ch. 20 - DATA For a refrigerator or air conditioner, the...Ch. 20 - DATA You are conducting experiments to study...Ch. 20 - Consider a Diesel cycle that starts (at point a in...Ch. 20 - POWER FROM THE SEA. Ocean thermal energy...Ch. 20 - POWER FROM THE SEA. Ocean thermal energy...Ch. 20 - POWER FROM THE SEA. Ocean thermal energy...Ch. 20 - POWER FROM THE SEA. Ocean thermal energy...
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- How could you design a Carnot engine with 100% efficiency?arrow_forwardA 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_forwardThe Carnot cycle is represented by the temperature-entropy diagram shown below. (a) How much heat is absorbed per cycle at the high-temperature reservoir? (b) How much heat is exhausted per cycle at the low-temperature reservoir? (c) How much work is done per cycle by the engine? (d) What is the efficiency of the engine?arrow_forward
- A cylinder contains 500 g of helium at 120 atm and 20 . The valve is leaky, and all the gas slowly escapes isothermally into the atmosphere. Use the results of the preceding problem to determine the resulting change in entropy of the universe.arrow_forwardA Carnot engine operates between 550 and 20 baths and produces 300 kJ of energy in each cycle. Find the change in entropy of the (a) hot bath and (b) cold bath, in each Carnot cycle?arrow_forwardThe temperature of the cold reservoir of the engine is 300 K. It has an efficiency of 0.30 and absorbs 500 J of heat per cycle. (a) How much work does it perform per cycle? (b) How much heat does it discharge cycle?arrow_forward
- Check Your Understanding A Carnot engine operates between reservoirs at 400 and 30 . (a) What is the efficiency of the engine? (b) If the engine does 5.0 J of work per cycle, how much heat per cycle does it absorb from the high-temperature reservoir? (c) How much heat per cycle does it exhaust to the cold-temperature reservoir? (d) What temperatures at the cold reservoir would give the minimum and maximum efficiency?arrow_forwardFind the work done in the quasi-static processes shown below. The states are given as (p, V) values for the points in the PV plane: 1 (3 atm, 4 L), 2 (3 atm, 6 L), 3 (5 atm, 4 L), 4 (2 atm, 6 L), 5 (4 atm, 2 L), 6 (5 atm, 5 L) and 7 (2 atm, 5 L).arrow_forwardUse a PV diagram such as the one in Figure 22.2 (page 653) to figure out how you could modify an engine to increase the work done.arrow_forward
- A certain gasoline engine has an efficiency of 30.0%. What would the hot reservoir temperature be for a Carnot engine having that eficiency, if it operates with a cold reservoir temperature of 200°C?arrow_forwardAn idealized diesel engine operates in a cycle known as the air-standard diesel cycle shown in Figure P18.48. Fuel is sprayed into the cylinder at the point of maximum compression, B. Combustion occurs during the expansion B C, which is modeled as an isobaric process. Show that the efficiency of an engine operating in this idealized diesel cycle is e=11(TDTATCTB) Figure P18.48.arrow_forwardConsider an ideal gas Joule cycle, also called the Brayton cycle, shown below. Find the formula for efficiency of the engine using this cycle in terms of P1 , P2 and .arrow_forward
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