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Which of the following statements are correct?
Select one or more:
Select one or more:
- a)The increase in entropy is obtained from a given quantity of heat at a low temperature
- b)The change in entropy may be regarded as a measure of the rate of the availability of heat for transformation into work.
- c)The entropy represents the maximum amount of work obtainable per degree drop in temperature
- d)None of the above
Correct answer is option 'A,B,C'. Can you explain this answer?
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Which of the following statements are correct?Select one or more:a)The...
(a, b, c) are all different definitions associated with the entropy and are thus all correct
The correct answers are: The increase in entropy is obtained from a given quantity of heat at a low temperature, The change in entropy may be regarded as a measure of the rate of the availability of heat for transformation into work., The entropy represents the maximum amount of work obtainable per degree drop in temperature
The correct answers are: The increase in entropy is obtained from a given quantity of heat at a low temperature, The change in entropy may be regarded as a measure of the rate of the availability of heat for transformation into work., The entropy represents the maximum amount of work obtainable per degree drop in temperature
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Which of the following statements are correct?Select one or more:a)The...
Statement A: The increase in entropy is obtained from a given quantity of heat at a low temperature.
Explanation:
Entropy is a measure of the disorder or randomness of a system. The increase in entropy is related to the dispersal of energy or heat in a system. When heat is transferred from a high-temperature reservoir to a low-temperature reservoir, the entropy of the system increases.
According to the second law of thermodynamics, heat naturally flows from a hot object to a cold object. This transfer of heat leads to an increase in the disorder of the system, which is reflected in the increase in entropy.
At a low temperature, the system has less energy and more ordered states. When heat is added to the system, it increases the energy and the number of possible states, resulting in an increase in entropy.
Statement B: The change in entropy may be regarded as a measure of the rate of the availability of heat for transformation into work.
Explanation:
Entropy can be understood as a measure of the availability of energy for doing work. When the entropy of a system increases, the available energy for doing work decreases.
The change in entropy can be related to the availability of heat for transformation into work through the concept of exergy. Exergy is the maximum useful work that can be obtained from a system at a given state. It represents the potential for doing useful work.
The change in entropy is directly related to the change in exergy. As the entropy of a system increases, the exergy decreases, indicating a decrease in the availability of heat for transformation into work.
Statement C: The entropy represents the maximum amount of work obtainable per degree drop in temperature.
Explanation:
Entropy can also be related to the maximum work obtainable from a system. The Carnot efficiency, which is the maximum efficiency of a heat engine operating between two temperatures, is given by the ratio of the temperature difference to the absolute temperature of the hot reservoir.
The change in entropy per degree drop in temperature is directly proportional to the maximum work obtainable from the system. This relationship is derived from the Carnot efficiency and is known as the Clausius inequality.
The entropy represents the maximum work obtainable per degree drop in temperature because it provides a measure of the energy dispersal or disorder in the system. The higher the entropy, the lower the available energy for doing work.
Therefore, all the statements A, B, and C are correct.
Explanation:
Entropy is a measure of the disorder or randomness of a system. The increase in entropy is related to the dispersal of energy or heat in a system. When heat is transferred from a high-temperature reservoir to a low-temperature reservoir, the entropy of the system increases.
According to the second law of thermodynamics, heat naturally flows from a hot object to a cold object. This transfer of heat leads to an increase in the disorder of the system, which is reflected in the increase in entropy.
At a low temperature, the system has less energy and more ordered states. When heat is added to the system, it increases the energy and the number of possible states, resulting in an increase in entropy.
Statement B: The change in entropy may be regarded as a measure of the rate of the availability of heat for transformation into work.
Explanation:
Entropy can be understood as a measure of the availability of energy for doing work. When the entropy of a system increases, the available energy for doing work decreases.
The change in entropy can be related to the availability of heat for transformation into work through the concept of exergy. Exergy is the maximum useful work that can be obtained from a system at a given state. It represents the potential for doing useful work.
The change in entropy is directly related to the change in exergy. As the entropy of a system increases, the exergy decreases, indicating a decrease in the availability of heat for transformation into work.
Statement C: The entropy represents the maximum amount of work obtainable per degree drop in temperature.
Explanation:
Entropy can also be related to the maximum work obtainable from a system. The Carnot efficiency, which is the maximum efficiency of a heat engine operating between two temperatures, is given by the ratio of the temperature difference to the absolute temperature of the hot reservoir.
The change in entropy per degree drop in temperature is directly proportional to the maximum work obtainable from the system. This relationship is derived from the Carnot efficiency and is known as the Clausius inequality.
The entropy represents the maximum work obtainable per degree drop in temperature because it provides a measure of the energy dispersal or disorder in the system. The higher the entropy, the lower the available energy for doing work.
Therefore, all the statements A, B, and C are correct.
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