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38. A material has a heat capacity at constant volume C that is unchanging over a wide temperature range. Two identical bodies made of this material, at initial temperature T and 9T, respectively, are used to drive a heat engine. The maximum amount of work that can be obtained from this engine is (a) 9 CT (b) 4 CT (c) 8 CT [DU 2019] (d) 3 CT?
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38. A material has a heat capacity at constant volume C that is unchan...
Answer:
To determine the maximum amount of work that can be obtained from the heat engine, we need to consider the efficiency of the engine. The efficiency of a heat engine is given by the formula:
Efficiency = 1 - (Tc/Th)
where Tc is the temperature of the cold reservoir and Th is the temperature of the hot reservoir.
In this case, the two bodies have initial temperatures T and 9T, respectively. Let's assume that the body with initial temperature T is the hot reservoir and the body with initial temperature 9T is the cold reservoir.
Step 1: Calculate the efficiency of the heat engine
Using the efficiency formula, we can calculate the efficiency of the heat engine as follows:
Efficiency = 1 - (9T/T) = 1 - 9 = -8
Note that the efficiency should be a positive value between 0 and 1, so this result is not physically meaningful. This indicates that the heat engine cannot operate in this scenario.
Step 2: Determine the maximum amount of work
Since the efficiency is not physically meaningful, it implies that the heat engine cannot extract any work from the temperature difference between the two bodies. Therefore, the maximum amount of work that can be obtained from this engine is zero.
Conclusion:
The maximum amount of work that can be obtained from this heat engine is zero, as the efficiency of the engine is not physically meaningful. Therefore, none of the given options (a), (b), (c), or (d) are correct.
To determine the maximum amount of work that can be obtained from the heat engine, we need to consider the efficiency of the engine. The efficiency of a heat engine is given by the formula:
Efficiency = 1 - (Tc/Th)
where Tc is the temperature of the cold reservoir and Th is the temperature of the hot reservoir.
In this case, the two bodies have initial temperatures T and 9T, respectively. Let's assume that the body with initial temperature T is the hot reservoir and the body with initial temperature 9T is the cold reservoir.
Step 1: Calculate the efficiency of the heat engine
Using the efficiency formula, we can calculate the efficiency of the heat engine as follows:
Efficiency = 1 - (9T/T) = 1 - 9 = -8
Note that the efficiency should be a positive value between 0 and 1, so this result is not physically meaningful. This indicates that the heat engine cannot operate in this scenario.
Step 2: Determine the maximum amount of work
Since the efficiency is not physically meaningful, it implies that the heat engine cannot extract any work from the temperature difference between the two bodies. Therefore, the maximum amount of work that can be obtained from this engine is zero.
Conclusion:
The maximum amount of work that can be obtained from this heat engine is zero, as the efficiency of the engine is not physically meaningful. Therefore, none of the given options (a), (b), (c), or (d) are correct.
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38. A material has a heat capacity at constant volume C that is unchanging over a wide temperature range. Two identical bodies made of this material, at initial temperature T and 9T, respectively, are used to drive a heat engine. The maximum amount of work that can be obtained from this engine is (a) 9 CT (b) 4 CT (c) 8 CT [DU 2019] (d) 3 CT?
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38. A material has a heat capacity at constant volume C that is unchanging over a wide temperature range. Two identical bodies made of this material, at initial temperature T and 9T, respectively, are used to drive a heat engine. The maximum amount of work that can be obtained from this engine is (a) 9 CT (b) 4 CT (c) 8 CT [DU 2019] (d) 3 CT? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about 38. A material has a heat capacity at constant volume C that is unchanging over a wide temperature range. Two identical bodies made of this material, at initial temperature T and 9T, respectively, are used to drive a heat engine. The maximum amount of work that can be obtained from this engine is (a) 9 CT (b) 4 CT (c) 8 CT [DU 2019] (d) 3 CT? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 38. A material has a heat capacity at constant volume C that is unchanging over a wide temperature range. Two identical bodies made of this material, at initial temperature T and 9T, respectively, are used to drive a heat engine. The maximum amount of work that can be obtained from this engine is (a) 9 CT (b) 4 CT (c) 8 CT [DU 2019] (d) 3 CT?.
38. A material has a heat capacity at constant volume C that is unchanging over a wide temperature range. Two identical bodies made of this material, at initial temperature T and 9T, respectively, are used to drive a heat engine. The maximum amount of work that can be obtained from this engine is (a) 9 CT (b) 4 CT (c) 8 CT [DU 2019] (d) 3 CT? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about 38. A material has a heat capacity at constant volume C that is unchanging over a wide temperature range. Two identical bodies made of this material, at initial temperature T and 9T, respectively, are used to drive a heat engine. The maximum amount of work that can be obtained from this engine is (a) 9 CT (b) 4 CT (c) 8 CT [DU 2019] (d) 3 CT? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 38. A material has a heat capacity at constant volume C that is unchanging over a wide temperature range. Two identical bodies made of this material, at initial temperature T and 9T, respectively, are used to drive a heat engine. The maximum amount of work that can be obtained from this engine is (a) 9 CT (b) 4 CT (c) 8 CT [DU 2019] (d) 3 CT?.
Solutions for 38. A material has a heat capacity at constant volume C that is unchanging over a wide temperature range. Two identical bodies made of this material, at initial temperature T and 9T, respectively, are used to drive a heat engine. The maximum amount of work that can be obtained from this engine is (a) 9 CT (b) 4 CT (c) 8 CT [DU 2019] (d) 3 CT? in English & in Hindi are available as part of our courses for Physics.
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