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T9D.3 In this problem, you will calculate the efficiency of a Carnot engine without referring to...
3. (20 pts) In the Carnot engine (refer to the figure in question 2), an ideal...
3. (20 pts) In the Carnot engine (refer to the figure in question 2), an ideal gas undergoes a cycle of isothermal expansion (A → B), adiabatic expansion (B → C), isothermal compression (C → D), and adiabatic compression (D → A). All processes are assumed to be reversible. The volumes at the points are given that 2VA=VB and VC=2VD. Th is 650 °C and Tc is 30 °C. (1) Calculate the amount of heat added to one mole gas...
A Carnot engine operates us ing 1.0 mol e of monoatomic ideal gas as a working...
A Carnot engine operates us ing 1.0 mol e of monoatomic ideal gas as a working s ubstance. In t he first step, the gas is place d in thermal contact with a heat reservoir and expands isothermally to 3 .0 times its initial volume. (a) If the internal energy o f the gas after this step is 6.25 k J , calculate the temperature of the heat reservoir ( T h ) . (b) C alculate the heat absorbed...
For a Carnot engine with 10 moles of ideal gas (Cv = 1.5 nR) and operating...
For a Carnot engine with 10 moles of ideal gas (Cv = 1.5 nR) and operating between a hot reservoir of 500 K and a cold reservoir of 300 K, a) What would be the heat exchanges (q1) and entropy change (∆S1) for step 1, where the gas reversibly and isothermally expands to double its volume (V2 = 2 V1) at 500 K? b) What would be the heat exchanges (q3) and entropy change (∆S3) for step 3, where the...
Problem 6. Why do you think Carnot engine is the most efficient engine? Choose all correct...
Problem 6. Why do you think Carnot engine is the most efficient engine? Choose all correct answers. 4 marks a. adiabatic and isothermal paths are most efficient out of all paths. b. the cold reservoir is at 0 K temperature. c. the processes are done reversibly. d. as long as you do work in a cycle, the engine is always going to be efficient. e. the two adiabatic processes where there is no heat lost is the key. f. no...
For a Carnot engine with 10 moles of ideal gas (Cv= 1.5 nR) and operatingbetween a...
For a Carnot engine with 10 moles of ideal gas (Cv= 1.5 nR) and operatingbetween a hot reservoir of 500 K and a cold reservoir of 300 K,a. (6 Points) What would be the heat exchanges (q1) and entropy change (∆S1) for step 1, where thegas reversibly and isothermally expands to double its volume (V2= 2 V1) at 500 K?b. (6 Points) What would be the heat exchanges (q3) and entropy change (∆S3) for step 3, where thegas is reversibly...
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...
We have seen that the Carnot cycle can be used to determine the maximum efficiency of...
We have seen that the Carnot cycle can be used to determine the maximum efficiency of a heat engine. The efficiency is defined as the sum of all of the work during the cycle divided by the amount of heat exchanged during the expansion process: efficiency=?1 +?2 +?3 +?3 /?1 Theoretically, the efficiency of the engine can be determined with the hot and cold temperature of the cycle. efficiency = ?h − ?c/ ?h In this problem, we will calculate...
1.The efficiency of a Carnot engine is 27%. The engine absorbs 826 J of energy per...
1.The efficiency of a Carnot engine is 27%. The engine absorbs 826 J of energy per cycle by heat from a hot reservoir at 503 K. (a) Determine the energy expelled per cycle. _ J (b) Determine the temperature of the cold reservoir. _K 2.A sample of helium behaves as an ideal gas as energy is added by heat at constant pressure from 273 K to 343 K. If 15.0 J of work is done by the gas during this...
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...
Need help with problem 6 5. Consider the general Carnot cycle discussed in Lecture #9, in...
Need help with problem 6
5. Consider the general Carnot cycle discussed in Lecture #9, in which we take a mole of ideal gas through a cyclic path of thermodynamic states and processes involving successive isothermal and adiabatic expansions and compressions. (a) Evaluate the work terms Wab and wcd for the isothermal steps, in terms of: the initial and final volumes involved; and the temperatures involved. (b) Do the same for the adiabatic steps, i.e., calculate Wbc and wda. (c)...
Problem 6. Why do you think Carnot engine is the most efficient engine? Choose all correct answers. 4 marks a. adiabatic and isothermal paths are most efficient out of all paths. b. the cold reservoir is at 0 K temperature. c. the processes are done reversibly. d. as long as you do work in a cycle, the engine is always going to be efficient. e. the two adiabatic processes where there is no heat lost is the key. f. no...
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...
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...
Need help with problem 6
5. Consider the general Carnot cycle discussed in Lecture #9, in which we take a mole of ideal gas through a cyclic path of thermodynamic states and processes involving successive isothermal and adiabatic expansions and compressions. (a) Evaluate the work terms Wab and wcd for the isothermal steps, in terms of: the initial and final volumes involved; and the temperatures involved. (b) Do the same for the adiabatic steps, i.e., calculate Wbc and wda. (c)...
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