a) A heat engine operates at a 40% efficiency. The heat input is 20,000 J. How muchwork does this engine produce?b) Assume that the efficiency listed is the Carnot efficiency. What is the ratio oftemperature of the cold reservoir to temperature of the hot reservoir?c) If the real ratio of temperature of the cold reservoir to temperature of the hotreservoir was less than you found in (b), would this engine violate the 2nd Law ofThermodynamics? Explain.

“Since you have asked multiple questions, we will solve the first question for you. If you want any…

Answered: a) A heat engine operates at a 40%…

Science

Physics

a) A heat engine operates at a 40% efficiency. The heat input is 20,000 J. How much work does this engine produce?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter4: The Second Law Of Thermodynamics

Section: Chapter Questions

Problem 77AP: A heat engine operates between two temperatures such that the working substance of the engine...

See similar textbooks

Related questions

Q: A typical electric refrigerator has a power rating of 600 W, which is the rate (in J/s) at which…

A: Given: The power rating of the refrigerator is 600 W. The heat released into the room is 1000 W.…

Q: A newly proposed device for generating electricity from the sun is a heat engine in which the hot…

A: Given: The temperature of the cold reservoir is T1=200 The maximum efficiency is η=60% According…

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

Q: An electrical power station uses 1.48 1014 J of heat input with an efficiency of 34.7%. (a) How…

Q: In each cycle of its operation, a heat engine expels 5,900 J of energy and performs 1,700 J of…

A: The amount of heat released or expelled by the engine, Qreleased = 5900 J The amount of work done by…

Q: A heat engine has a heat input of 3 * 104 Btu/h and a thermal efficiency of 40 percent. Calculate…

Q: A heat engine recevies 900 j of heat and releases 100 j of heat in each style. what is the…

Q: A Carnot heat engine operates between 400K and 500 K. Its efficiency is: а. 25% b. 20% C. 79% d. 44%

A: T1 = 400 K T2 = 500K Efficiency = ?

Q: A heat engine operates between a reservoir at 25°C and one at 375°C. What is the maximum efficiency…

Q: A heat engine takes in 400 J of thermal energy and performs 100 J of work in each cycle. The…

A: Efficiency of heat engine is, η=WQh Here, W is work done and Qh is heat taken by engine. Given :…

Q: A steam engine delivers 5.4×108 J of work per minute and services 3.6×109J of heat per minute from…

A: Given :W= 5.4 x 108JH= 3.6 x 109J

Q: What is the maximum efficiency of a heat engine whose operating temperatures are 700 ∘C and 330 ∘C?

A: Given: Lower temperature, T1 = 330 ℃ Higher temperature, T2 = 700 ℃ To determine : the maximum…

Q: What is the maximum possible efficiency (in Percent) of a steam engine working between a hot…

A: The efficiency is given by η = 1- TcTH Where, Tc is the temperature of cold junction and the TH is…

Q: A proposed ocean thermal-energy conversion (OTEC) system is a heat engine that would operate between…

Q: A Carnot engine operates between 170 C and 23 C. How much ice can the engine melt from its exhaust…

A: The equation to calculate the exhausted energy from a heat engine is,

Q: A heat pump creates a heating effect of 32,000 Btu/h for a space maintained at 530 R while using 1.8…

Q: You perform maintenance on an engine, increasing its efficiency by 9.86 %. How much more work is…

A: Given:- The efficiency of the engine is increasing by 9.86 %. The heat input is 1367 J Find:- How…

Q: A boiler provides 216 GJ of heat per hour to a steam engine providing work in the amount of 32.4…

A: Given in question: Energy given(E) = 216 GJ Work done(W) = 32.4 GJ…

Q: Work of 1100 J is done on an ideal gas, but the internal energy increases by only 700 J. What is the…

A: Given that, Work done on the system is W = +1100 J Increase in internal energy is ∆U=+700 J

Q: The engine of a large ship does 2.00×108 J of work with an efficiency of 5.00%.…

Q: what is the maximum possible coefficient of performance of a heat pump that brings energy from…

A: Given: Temperature, Th = 22o C = 273+22 = 295 K and Tc = 3o C = 273+3 = 276 K

Q: You perform maintenance on an engine, increasing its efficiency by 5 %. How much more work is…

A: Given data : Efficiency, Input heat,

Q: A system does 1.80×108 J of work while 7.50×108J of heat transfer occurs to the environment. What is…

A: The work done by a given system is, The amount of heat transferred from the system to the…

Q: A heat engine operates between a reservoir at 27°C and one at 323°C. What is the maximum efficiency…

A: T2=27=273+27=300k T1=323=323+273=596k We know, Efficiency=1-T2/T1

Q: The engine of a large ship does 1.97 1010 J of work with an efficiency of 8.60%. (a) How much…

A: Given : W = 1.97 x 1010 J e = 8.60% = 0.086

Q: In each cycle of its operation, a heat engine expels 6,500 J of energy and performs 1,700 J of…

A: Let take, heat added as Q1, heat rejected as Q2 , Work done as W. Given, Q2 = 6500 J, W = 1700 J

Q: A heat engine operates between a reservoir at 28°C and one at 323°C. What is the maximum efficiency…

Q: The amount of heat transferred to a thermodynamic system is Q=0,5KJ.Find the work done by the…

A: Given data: Heat transferred to the thermodynamic system is Q = 0.5 kJ = 500 J Change in the…

Q: The engine of a large ship does 2.00 × 108 J of work with an efficiency of 5.00%. (a) How much heat…

A: a) The expression for find heat transfer into the system is η=WQinQin=Wη Substitute values in the…

Q: A closed system undergoes a process in which there is no internal energy change. During this…

Q: A heat engine operates between a reservoir at 30°C and one at 422°C. What is the maximum efficiency…

A: T2 = 30 degree C = 303 K T1 = 422 degree C = 695 K

Q: A particular engine does 6000 J of work while absorbing 9000 J of heat. What is the change in…

Q: A 54-kg mountain climber, starting from rest, climbs a vertical distance of 779 m. At the top, she…

Q: 32. A gasoline engine takes in 2500 J of the heat and delivers 500J of mechanical work per cycle.…

A: Please note : As per answering quidelines I can answer the first question(Q.32) only. Since this is…

Q: Suppose a woman does 550 J of work and -9300 J of heat transfer occurs into the environment in the…

Q: An engine releases 0.350 kJ of heat for every 0.910 kJ of work it does. What is the efficiency of…

A: Efficiency can be defined as the ratio of workdone to the amount of energy used. Efficiency, η=WQ

Q: What is the maximum efficiency of a heat engine whose operating temperatures are 560°C and 345°C?

A: Given data The hot temperature is given as Th=560°C. The cold temperature is given as Tc=345°C.…

Q: A gasoline engine has a power output of 180 kW. Its thermal efficiency is 0.28. How much heat must…

A: Write the given values with suitable variables. Pout=180 kWη=0.28 Here, Pout denotes the output…

Q: A heat engine operates between a reservoir at 28°C and one at 350°C. What is the maximum efficiency…

Q: 18. With 2.56 x 10°) of heat transfer into this engine, a given cyclical heat engine can do only…

A: Efficiency of an engine is defined as the ratio of work done to heat provided to engine. Efficiency…

Question

a) A heat engine operates at a 40% efficiency. The heat input is 20,000 J. How much
work does this engine produce?
b) Assume that the efficiency listed is the Carnot efficiency. What is the ratio of
temperature of the cold reservoir to temperature of the hot reservoir?
c) If the real ratio of temperature of the cold reservoir to temperature of the hot
reservoir was less than you found in (b), would this engine violate the 2nd Law of
Thermodynamics? Explain.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps

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

Steam locomotives have an efficiency of 17.0% and operate with a hot steam temperature of 425C. (a) What would the cold reservoir temperature be if this were a Carnot engine? (b) What would the maximum eficiency of this steam engine be if its cold reservoir temperature were 150C ?
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.
A Carnot engine operates in a Carnot cycle between a heat source at 550 and a heat sink at 20 . Find the efficiency of the Carnot engine.
Consider a transformation from point A to B in a two-step process. First, the pressure is lowered from 3 MPa at point A to a pressure of 1 MPa, while keeping the volume at 2 L by cooling the system. The state reached is labeled C. Then the system is heated at a constant pressure to reach a volume of 6 L in the state B. (a) Find the amount of work on the ACB path. (b) Find the amount of heat exchanged by the system when it goes from A to B on the ACB path. (c) the change in the internal energy when the AB process occurs adiabatically with the AB change though the two-step process on the ACB path.
A 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.
Of 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.
Calculate the net work output of a heat engine following path ABCDA as shown below.
A copper rod of cross-sectional area 5.0 cm2 and length 5.0 m conducts heat from a heat reservoir at 373 K to one at 273 K. What is the time rate of change of the universe's entropy for this process?
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?
Is it possible for a system to have an entropy change if it neither absorbs nor emits heat during a reversible? transition? What happens it the process is irreversible?
Does the entropy increase for a Carnot engine for each cycle?
How could you design a Carnot engine with 100% efficiency?