WS T5 (rev. 3.0)Page 29A heat engine uses an ideal gas of Nmonatomic particles as its working substance.The engine runs on the following four-stepcycle.iStmica2poTransformation 1+2 is isobaricTransformation 2-3 is adiabaticTransformation 3→4 is isobaricTransformation 4 1 is isochoricPo34VVo3V.Questionsa) Find the efficiency of this engine. You may find it helpful to organize your work as follows:Step1- 22→ 3AEnetWQ3 -441WnetQinb) Where in this cycle does the gas reach itshighest and lowest temperatures? Find theseextreme temperatures. (Your answers shouldabapossible? *be in terms of po, Vo, and N.)d) Are your answers consistent with the fact thatthe Carnot engine is the most efficient enginec) What would be the efficiency of a Carnotengine operating between these twotemperatures?•...

Hello. Since your question has multiple parts, we will solve the first part for you. If you want any other parts to be solved, then please resubmit the whole question and specify those parts you want us to solve. Let the index i denote the state variables corresponding to ith state and let the index ij denote the path variables corresponding to the transformation i to j. Let the monoatomic gas’s number of moles and adiabatic index be denoted by n and γ, respectively. a) For process 1 to 2, determine the PV-work and the change in the internal energy from the standard formulas as follows: W12=P1V2-V1=2P03V0-V0=4P0V0ΔE12=32P1V2-V1=322P03V0-V0=6P0V0Use the first thermodynamics law and determine the heat transferred for this process as follows: Q12=ΔE12+W12=6P0V0+4P0V0=10P0V0For the adiabatic process 2 to 3, the heat transferred is zero. Determine the volume (V3) and the change in the internal energy from their standard formulas as follows: P2V2γ=P3V3γV3=2P0P01/γ3V0=23/53V0 ∵γ=53ΔE23=32P3V3-P2V2=32P023/53V0-2P03V0=-2.18P0V0Use the first thermodynamics law and determine the work done in this process as follows: Q23=ΔE23+W230=-2.18P0V0+W23W23=2.18P0V0For process 3 to 4, determine the PV-work and the change in the internal energy from the standard formulas as follows: W34=P3V4-V3=P0V0-23/53V0=1-23/53P0V0ΔE34=32P3V4-V3=32P0V0-23/53V0=321-23/53P0V0Use the first thermodynamics law and determine the heat transferred for this process as follows: Q34=ΔE34+W34=1-23/53P0V0+321-23/53P0V0=-8.87P0V0For process 4 to 1, the PV-work is zero. Determine the change in the internal energy and the heat transferred from the standard formulas as follows: ΔE41=32V4P1-P4=32V02P0-P0=1.5P0V0Q41=ΔE41+W41=1.5P0V0+0=1.5P0V0Hence, the given table can be completed as follows: Hence, the net work done (Wnet) is 2.63P0V0 and the net heat input (Qin) is 11.5 P0V0.This machine’s efficiency (η) is the ratio of the work output and the heat absorbed. Evaluate it as follows: η=WnetQin=2.63P0V011.5P0V0=0.23 or 22.87%

Science

Physics

A heat engine uses an ideal gas of N monatomic particles as its working substance. The engine runs on the following four-step cycle. dyamice 2 2po Transformation 1-2 is isobaric Transformation 2-3 is adiabatic Transformation 3-4 is isobaric Transformation 4-1 is isochoric Po 4 V Vo 3V. Questi 2s for a) Find the efficiency of this engine. You may find it helpful to organize your work as follows: Step 3.

A heat engine uses an ideal gas of N monatomic particles as its working substance. The engine runs on the following four-step cycle. dyamice 2 2po Transformation 1-2 is isobaric Transformation 2-3 is adiabatic Transformation 3-4 is isobaric Transformation 4-1 is isochoric Po 4 V Vo 3V. Questi 2s for a) Find the efficiency of this engine. You may find it helpful to organize your work as follows: Step 3.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Suppose you spend 30.0 minutes on a stair-climbing machine, climbing at a rate of 65 steps per…

A: Given data:Total time spent=30 min Rate of climbing=65 steps per minHeight of each step=8.0…

Q: A Carnot engine works between two heat reservoirs at temperatures Th=322 K and Tc = 65 K. 1) (a)…

Q: A heat engine exhausts 9800 J of heat while performing 3000 J of useful work.

Q: A Carnot engine produces 25 kW while operating between temperature limits of 10000K and 3000K.…

A: Given,output W=25kWtemperature TH=10000Ktemperature TC=3000K

Q: 12. Work energy depends on the Path. Please discuss this in your own understanding and give example.

A: In thermodynamics we came across of two modes of energy transfer that is work and heat. Although…

Q: In each cycle of a Carnot engine, 96 J of heat is absorbed from the high-temperature reservoir and…

A: The amount of hear energy absorbed by the high-temperature reservoir is QH=96 J. The amount of heat…

Q: How long would my car need to skid in order to melt my tires? The mass of the car is 1665 kg. 1.…

A: 1. To find the time it would take for the car's tires to melt, we need to use the equation for the…

Q: The coefficient of performance for a freezer is 7.8. a. How much heat must be extracted by the…

A: Given Cop = n = 7.8 H1 = 2.3kJ H3 = 330 J

Q: Suppose you spend 30.0 minutes on a stair-climbing machine, climbing at a rate of 85 steps per…

A: Calculate the change in height.

Q: A thermal cycle has an efficiency equal to 45.0 % of that a Carnot engine that operates between the…

Q: Imagine a Carnot engine is designed to have a cold reservoir of 17° C and a hot reservoir at 570° C.…

Q: Consider a steam engine that operates between 550 1 = T °C and 250 2 = T °C. 1°/Recall the…

A: The efficiency of a heat engine is defined as the ratio of the useful work output to the heat input.…

Q: 1. Which of the following ERM diagram represents a refrigerator? A. в. с. D. TH TC Tc TH QH Qc Qc QH…

Q: Please use the appropriate format in answering word problem: Problem 03 A heat engine is operated…

A: Given: Heat source temperature: TH=1470°C The cold reservoir temperature: TC=260°C

Q: 4. Consider a heat engine comprising two isochores and two isobars, as in the diagram below. Suppose…

Q: A Carnot engine whose high-temperature reservoir is at 610 KK takes in 570 JJ of heat at this…

A: Write the given values with the suitable variables. Th=610 KQh=570 JQl=320 J Here, Th, Qh, and Ql…

Q: A 110 g insulated aluminum cup at 29 °C is filled with 150 g of water at 60 °C. After a few minutes,…

Q: 4. Consider a heat engine comprising two isochores and two isobars, as in the diagram below. Suppose…

Q: q = 0 for an isothermal process. a) True b) False

A: Given: q=0 in isothermal process

Q: a. Automobile fuel ignites at about 550 K. Estimate the Carnot efficiency assuming that this is the…

Q: - Part A A real heat engine working between heat reservoirs at 940 K and 570 K produces 680 J of…

Q: 2. A heat engine has an efficiency of 52% when it runs with a hot-reservoir temperature of 400°C and…

Q: for the first part (finding the work done), can you use one of the equations for work done in an…

Q: A heat engine uses a heat source at 520 °C and has an ideal (Carnot) efficiency of 29 % . Part A To…

A: Temperature of the heat source T1=520oC=793 K and efficiency of the Carnot engine n1=29%. New…

Q: a. A Carnot engine takes 1000 Joules of heat from a high temperature reservoir of 560 K and delivers…

A: The given device is carnot engine. Efficiency = work done/heat supplied

Q: 4.5 kg of water at 36 °C is mixed with 4.5 kg of water at 60 ° C in a well-insulated container. Part…

Q: 4.5 kg of water at 33 °C is mixed with 4.5 kg of water at 49 °C in a well-insulated container.

Q: From the perspective of the first law of thermodynamics, is it possible for a heat engine to have an…

A: No, it is not possible for a heat engine to have an efficiency greater than 1 according to the first…

Q: The coefficient of performance of the heat pump used as a cooler (illustrated below) is x-3. What is…

A: Given: The coefficient of performance is 3.

Q: Steam engines operate between a cold temperature reservoir at 30oC and a hot temperature reservoir…

Q: A thermal machine operates between two reservoirs at T2 = 600 K and T1 = 350 K. It receives 1.00 kJ…

A: Given, The temperature of the hot reservoir, T2=600 K The temperature of the hot reservoir, T1=350 K…

Q: Is the following statement true or false? The change in entropy of an object undergoing an adiabatic…

A: Part-I: Introduction: The change in entropy of the system is defined as the change in the disorder…

Q: The 2nd Law of Thermodynamics claims that the most efficient Carnot engine is achieved with the…

Q: Three moles of an ideal gas undergo a reversible isothermal compression at temperature 19.0 °C.…

Q: an ideal gas undergo a reversible isothermal m 1.66x10m³ to 4.59x10-2 m² at a temperature Y Part A…

A: Given: Number of moles n=2 Initial volume v1 =1.66(10-2 ) cubic metre Final volume v2 =4.59(10-2 )…

Q: A Carnot device operates between a cold reservoir of temperature -95'C and a hot reservoir of…

Q: I) Explain your reasoning clearly and concisely for full credit. a) Give precise definitions of…

A: (a) Reversible process: A process is said to be a reversible process if it takes place in a manner…

Q: Identify the processes in the cycle. Þ 1. Path AB = The temperature in (1) is 350 K, the work done…

Q: Please solve this question,Only if you have knowledge in this concept. Do not post random solutions.

A: Entropy change of the source : Given:Tsource = 400+273 = 673 KQsource = 700 KJ…

Q: 4.5 kg of water at 39 ^ °C is mixed with 4.5 kg of water at 67 °C in a well - insulated container.…

Q: An engine absorbs 422 J of heat and does 113 J of work in each cycle. 1) (a) What is its efficiency?…

Q: A heat pump and a refrigerator both use 1000 W of work to extract 1500 W of energy from the cold…

A: Solution: Given that QH = 1500 W W = 1000 W

Question

100%

WS T5 (rev. 3.0)
Page 29
A heat engine uses an ideal gas of N
monatomic particles as its working substance.
The engine runs on the following four-step
cycle.
iStmica
2po
Transformation 1+2 is isobaric
Transformation 2-3 is adiabatic
Transformation 3→4 is isobaric
Transformation 4 1 is isochoric
Po
3
4
V
Vo
3V.
Questions
a) Find the efficiency of this engine. You may find it helpful to organize your work as follows:
Step
1- 2
2→ 3
AEnet
W
Q
3 -4
41
Wnet
Qin
b) Where in this cycle does the gas reach its
highest and lowest temperatures? Find these
extreme temperatures. (Your answers shouldabapossible? *
be in terms of po, Vo, and N.)
d) Are your answers consistent with the fact that
the Carnot engine is the most efficient engine
c) What would be the efficiency of a Carnot
engine operating between these two
temperatures?
•...

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step 8

Step 9

Trending now

This is a popular solution!

Step by step

Solved in 9 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A Carnot heat engine operates with an efficiency η=0.5 between a hot reservoir at temperature T1 and a cold reservoir at temperature T2=300 K. Calculate the temperature T1 of the hot reservoir. Select one: a.T1=150.0 b.T1=300.0 c.T1=900.0 d.T1=600.0
Suppose you spend 30.0 minutes on a stair-climbing machine, climbing at a rate of 65 steps per minute, with each step 8.00 inches high. If you weigh 150 lb and the machine reports that 750 kcal have been burned at the end of the workout, what efficiency is the machine using in obtaining this result? %If your actual efficiency is 0.19, how many kcal did you really burn? kcal
A heat engine does 160 J of work per cycle while exhausting 420 J of waste heat. Part A What is the engine's thermal efficiency? Express your answer as a percentage.
A heat engine does 30.0 J of work and exhausts 35.0 J of waste heat during each cycle. Part A What is the engine's thermal efficiency? Express your answer as a percentage. 46.2 % Submit Correct Part B Previous Answers If the cold-reservoir temperature is 30.0 °C, what is the minimum possible temperature in °C of the hot reservoir? Express your answer in degrees Celsius. —| ΑΣΦ 383.35 ? °C
8. A heat engine with an efficiency of 40% takesin 600 J of heat from the high-temperaturereservoir in each cycle.a. How much work does the engine do in eachcycle?b. How much heat is released to the low temperature reservoir?
1.) Why must a room air conditioner be placed in a window rather than just set on the floor and plugged in? Why can a refrigerator be set on the floor and plugged in? 2.) Does a refrigerator full of food consume more power if the room temperature is 200C than if it is 150C? Or is the power consumption the same? Explain your reasoning. 3.) What would be the efficiency of a Carnot engine operating with TH = TC? What would be the efficiency if TC = 0 K and TH were any temperature above 0 K? Interpret your answers.
A heat engine operates under the following conditions: heat exchanged via exhaust Qc = -2500 J, work done W = -1000 J. What is the efficiency of the engine? %3D
Consider a refrigerator undergoing a cycle. a. What is the maximum coefficient of performance that an ideal refrigerator can achieve if it operates between thermal reservoirs at 150K and 220K? b. Is it possible for a refrigerator operating between the same two temperatures of part (a) to have heat transfer in to the cycle of 34 kJ and heat transfer out of 42 kJ? Why or why not?
A Carnot refrigerator extracts 300J of heat from a 280K cold reservoir every cycle. The hot reservoir temperature is 300K. a. What is the performance of the refrigerator? b. How much input work is required for this to happen? c. How much heat is dumped into the hot reservoir?
Spontaneous processes do not exists 2. Which of the following mechanical processes are not reversible, in the 2 sense that energy converted from one form to another cannot be completely converted from the second form back to the first form? * O A ball is tossed upward, gaining height. A moving block slides to a stop because of friction. O A moving cart is caught by a spring, stretching the spring.
QUESTION 4 In a single cycle, heat engine extracts 8.00 kcal of heat from a hot reservoir and exhausts 5.00 kcal of heat int a cold reservoir. What is the efficiency of this engine? а. 67.5% b. 77.5% C. 57.5% d. 47.5% е. 37.5%