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 and work done by the gas during this first step.
In the second step of the engine, the gas is thermally insulated and allowed to expand adiabatically. (c) I f the volume increase s by a factor of 1.5 during this step , then what is the final temperature of the gas after the adiabatic expansion? (d) What is the efficiency of this Carnot engine? (e) I f this same Carnot cycle is reverse d to function as a refrigerator , how much work is required to operate the refrigerator for one cycle?
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A Carnot engine operates us ing 1.0 mol e of monoatomic ideal
gas as a working...
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...
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...
The working substance of a certain Carnot engine is 1.80 mol of an ideal monatomic gas....
The working substance of a certain Carnot engine is 1.80 mol of an ideal monatomic gas. During the isothermal expansion portion of this engine's cycle, the volume of the gas doubles, while during the adiabatic expansion the volume increases by a factor of 5.7. The work output of the engine is 900 J in each cycle. Compute the temperatures of the two reservoirs between which this engine operates.
A Carnot cycle is conducted using an ideal diatomic gas. Initially, the gas is at temperature...
A Carnot cycle is conducted using an ideal diatomic gas. Initially, the gas is at temperature 25C., pressure of 100KPa and volume of 0.01m3. The system is then compressed isothermally to a volume 0.002m3. From that point, the gas undergoes an adiabatic compression ( with gamma= 1.4), until the volume further reduces to 0.001m3. After that, the system goes an isothermal expansion process to a point where the pressure of the system is 263.8KPa. Then the system continues the cycle...
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...
4. The pressure-volume diagram below shows a special reversible cycle called the Carnot cycle A mole...
4. The pressure-volume diagram below shows a special reversible cycle called the Carnot cycle A mole of an ideal gas starts off in state 1 in contact with a large thermal reservoir at temperature Th. The gas then undergoes an isothermal expansion from Vi to V2. Upon reaching state 2, the gas container is removed from contact with the thermal reservoir and covered with thermal insulation. Next the gas is allowed to expand adiabatically from V2to Vs. Because the expansion...
69. A Carnot engine employs 1.5 mol of nitrogen gas as a working substance, which is...
69. A Carnot engine employs 1.5 mol of nitrogen gas as a working substance, which is considered as an ideal diatomic gas with γ =7.5 at the working temperatures of the engine. The Carnot cycle goes in the cycle ABCDA with AB being an isothermal expansion. The volume at points A and C of the cycle are 5.0×10−3 m3 and 0.15 L, respectively. The engine operates between two thermal baths of temperature 500 K and 300 K. (a) Find the...
(a) During each cycle, a Carnot engine absorbs 772 J as heat from a high-temperature reservoir...
(a) During each cycle, a Carnot engine absorbs 772 J as heat from a high-temperature reservoir at 388 K, with the low-temperature reservoir at 287 K. How much work is done per cycle? (b) The engine is then made to work in reverse to function as a Carnot refrigerator between those same two reservoirs. During each cycle, how much work is required to remove 1206 J as heat from the low-temperature reservoir? () Numbel 200.9590 UnitsT j UnitsT j (b)...
The figure shows a Carnot cycle. Starting from (a), the gas is compressed at constant temperature...
The figure shows a Carnot cycle. Starting from (a), the gas is compressed at constant temperature to (b), is compressed adiabatically to (c), is expanded at constant temperature to (d), and expanded adiabatically back to (a). The engine works between the temperatures Tc = 293 K and Th=430 K. The engine starts at (a) with a volume of 2.7 Land atmospheric pressure, 1.01 X 105 Pa. Assume this is a diatomic ideal gas (air, to a good approximation). What is...
SP3. A Carnot engine operating in reverse as a heat pump moves heat from a cold...
SP3. A Carnot engine operating in reverse as a heat pump moves heat from a cold reservoir at 7°C to a warmer one at 22°C. a) What is the efficiency of a Carnot engine operating between these two temperatures? b) If the Carnot heat pump releases 250 J of heat into the higher-temperature reservoir e co in each cycle, how much work must be provided in each cycle? c) How much heat is removed from the 7°C reservoir in each...
4. The pressure-volume diagram below shows a special reversible cycle called the Carnot cycle A mole of an ideal gas starts off in state 1 in contact with a large thermal reservoir at temperature Th. The gas then undergoes an isothermal expansion from Vi to V2. Upon reaching state 2, the gas container is removed from contact with the thermal reservoir and covered with thermal insulation. Next the gas is allowed to expand adiabatically from V2to Vs. Because the expansion...
(a) During each cycle, a Carnot engine absorbs 772 J as heat from a high-temperature reservoir at 388 K, with the low-temperature reservoir at 287 K. How much work is done per cycle? (b) The engine is then made to work in reverse to function as a Carnot refrigerator between those same two reservoirs. During each cycle, how much work is required to remove 1206 J as heat from the low-temperature reservoir? () Numbel 200.9590 UnitsT j UnitsT j (b)...
The figure shows a Carnot cycle. Starting from (a), the gas is compressed at constant temperature to (b), is compressed adiabatically to (c), is expanded at constant temperature to (d), and expanded adiabatically back to (a). The engine works between the temperatures Tc = 293 K and Th=430 K. The engine starts at (a) with a volume of 2.7 Land atmospheric pressure, 1.01 X 105 Pa. Assume this is a diatomic ideal gas (air, to a good approximation). What is...
SP3. A Carnot engine operating in reverse as a heat pump moves heat from a cold reservoir at 7°C to a warmer one at 22°C. a) What is the efficiency of a Carnot engine operating between these two temperatures? b) If the Carnot heat pump releases 250 J of heat into the higher-temperature reservoir e co in each cycle, how much work must be provided in each cycle? c) How much heat is removed from the 7°C reservoir in each...
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