Prove that if you had a heat engine whose efficiency was better than the ideal value...
Prove that if you had a heat engine whose efficiency was better than the ideal value (e </= 1 - Tc/Th), you could hook it up to an ordinary Carnot refrigerator to make a refrigerator that requires no work input.
Homework Answers
Let a engine have efficiency greater than 1-Tc/Th=nengine
then, Work done by engine=Energy supplied*nengine.
Now let a carnot refrigerator work between same temprature,
its Efficiency, n_ref=1-Tc/Th
it wound require an work = energy supplied to engine*n_ref to get the energy back to source.
Now, As n_engine > n_ref, a part of work done ie, Energy supplied*nref to refrigerator to get the energy back to source and rest of the work= Energy supplied*(n_engine- n_ref) would be spared which would appear as work, hence it could be hooked up together to get work with no input.
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Prove that if you had a heat engine whose efficiency was better
than the ideal value...
= Efficiency of real heat engines We showed that the efficiency of an ideal heat engine...
= Efficiency of real heat engines We showed that the efficiency of an ideal heat engine is given by TH-TL TL Nideal 1 TH Real heat-engines must be run at non-zero speeds, so they cannot be exactly quasi- static. Prove that the efficiency of a real heat engine is less than that of an ideal heat engine. ΤΗ n< Nideal
Learning Goal: To understand what a heat engine is and its theoretical limitations. Ever since Hero...
Learning Goal:
To understand what a heat engine is and its theoretical
limitations.
Ever since Hero demonstrated a crude steam turbine in ancient
Greece, humans have dreamed of converting heat into work. If a fire
can boil a pot and make the lid jump up and down, why can't heat be
made to do useful work?
A heat engine is a device designed to convert heat into work.
The heat engines we will study will be cyclic: The working
substance...
Part A A heat engine is designed to do work. This is possible only if certain relationships between the heats and temp...
Part A A heat engine is designed to do work. This is possible only if certain relationships between the heats and temperatures at the input and output hold true. Which of the following sets of statements must apply for the heat engine to do work? A) Qh < Qc and Th < Tc B) Qh > Qc and Th < Tc C) Qh < Qc and Th > Tc D) Qh > Qc and Th > Tc Part B Find...
8. A refrigerator may be regarded as the inverse of a steam engine, in that work is performed in order to remove hea...
8. A refrigerator may be regarded as the inverse of a steam engine, in that work is performed in order to remove heat from a system. It may be regarded as a steam engine run in reverse (i.e. the first step is a reversible adiabatic expansion from Th to Tc.) Heat is removed from the gas at the lower temperature in the succeeding isothermal expansion. The efficiency of a refrigerator is: Er = Aqoutput /Awinput Assuming a refrigerator can be...
8. A refrigerator may be regarded as the inverse of a steam engine, in that work...
8. A refrigerator may be regarded as the inverse of a steam engine, in that work is performed in order to remove heat from a system. It may be regarded as a steam engine run in reverse (i.e. the first step is a reversible adiabatic expansion from Th to Tc.) Heat is removed from the gas at the lower temperature in the succeeding isothermal expansion. The efficiency of a refrigerator is: Er = Aqoutput/AWinput Assuming a refrigerator can be built...
A friend passionate about cars mentions that Toyota has developed an engine with a thermal efficiency...
A friend passionate about cars mentions that Toyota has developed an engine with a thermal efficiency of 40% which is an extraordinary accomplishment! 1) Supposing this engine is ideal and based on the Carnot cycle, and also assuming that the cold reservoir temperature is 300 K, what is the hot reservoir temperature to meet the stated efficiency? You mention your result to this friend who points out correctly that the temperature of the hot reservoir would essentially be the temperature...
A Carnot engine works between two heat reservoirs at temperatures Th = 360 K and Tc...
A Carnot engine works between two heat reservoirs at temperatures Th = 360 K and Tc = 240 K. (a) What is its efficiency? % (b) If it absorbs 95 J from the hot reservoir during each cycle, how much work does it do? J (c) How much heat does it give off during each cycle? J (d) What is the COP of this engine when it works as a refrigerator between the same two reservoirs?
Page 2 of4 Problem A Carnot heat engine received heat from a reservoir at 900 °C...
Page 2 of4 Problem A Carnot heat engine received heat from a reservoir at 900 °C at a rate of 800 k./min and reject the waste heat to the sink at 27°C. The entire work output of the heat engine is used to drive a Carnot refrigerator that removes heat from the refrigerated space at -5 *C and transfer it to the same sink at 27°C. 900 "C 800 kI min Determine: 27"C (a) The Camot heat engine thermal efficiency...
Page 2 of4 Problem A Carnot heat engine received heat from a reservoir at 900 °C...
Page 2 of4 Problem A Carnot heat engine received heat from a reservoir at 900 °C at a rate of 800 k./min and reject the waste heat to the sink at 27°C. The entire work output of the heat engine is used to drive a Carnot refrigerator that removes heat from the refrigerated space at -5 *C and transfer it to the same sink at 27°C 900 ℃ 800 kI min Determine: 27-C (a) The Camot heat engine thermal efficiency...
earning Goal: To understand that a heat engine run backward is a heat pump that can be used as a refrigerator....
earning Goal: To understand that a heat engine run backward is a heat pump that can be used as a refrigerator. By now you should be familiar with heat engines--devices, theoretical or actual, designed to convert heat into work. You should understand the following: Heat engines must be cyclical; that is, they must return to their original state some time after having absorbed some heat and done some work). Heat engines cannot convert heat into work without generating some waste...
= Efficiency of real heat engines We showed that the efficiency of an ideal heat engine is given by TH-TL TL Nideal 1 TH Real heat-engines must be run at non-zero speeds, so they cannot be exactly quasi- static. Prove that the efficiency of a real heat engine is less than that of an ideal heat engine. ΤΗ n< Nideal
Learning Goal:
To understand what a heat engine is and its theoretical
limitations.
Ever since Hero demonstrated a crude steam turbine in ancient
Greece, humans have dreamed of converting heat into work. If a fire
can boil a pot and make the lid jump up and down, why can't heat be
made to do useful work?
A heat engine is a device designed to convert heat into work.
The heat engines we will study will be cyclic: The working
substance...
8. A refrigerator may be regarded as the inverse of a steam engine, in that work is performed in order to remove heat from a system. It may be regarded as a steam engine run in reverse (i.e. the first step is a reversible adiabatic expansion from Th to Tc.) Heat is removed from the gas at the lower temperature in the succeeding isothermal expansion. The efficiency of a refrigerator is: Er = Aqoutput /Awinput Assuming a refrigerator can be...
8. A refrigerator may be regarded as the inverse of a steam engine, in that work is performed in order to remove heat from a system. It may be regarded as a steam engine run in reverse (i.e. the first step is a reversible adiabatic expansion from Th to Tc.) Heat is removed from the gas at the lower temperature in the succeeding isothermal expansion. The efficiency of a refrigerator is: Er = Aqoutput/AWinput Assuming a refrigerator can be built...
Page 2 of4 Problem A Carnot heat engine received heat from a reservoir at 900 °C at a rate of 800 k./min and reject the waste heat to the sink at 27°C. The entire work output of the heat engine is used to drive a Carnot refrigerator that removes heat from the refrigerated space at -5 *C and transfer it to the same sink at 27°C. 900 "C 800 kI min Determine: 27"C (a) The Camot heat engine thermal efficiency...
Page 2 of4 Problem A Carnot heat engine received heat from a reservoir at 900 °C at a rate of 800 k./min and reject the waste heat to the sink at 27°C. The entire work output of the heat engine is used to drive a Carnot refrigerator that removes heat from the refrigerated space at -5 *C and transfer it to the same sink at 27°C 900 ℃ 800 kI min Determine: 27-C (a) The Camot heat engine thermal efficiency...
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