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Considering the relationship TdS = dU + pdV between the entropy (S), internal energy (U), pressure (p), temperature (T) and volume (V), which of the following statements is correct?
- a)It is applicable only for a reversible process
- b)For an irreversible process, TdS > dU + pdV
- c)It is valid only for an ideal gas
- d)It is equivalent to 1 law, for a reversible process
Correct answer is option 'D'. Can you explain this answer?
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Considering the relationship TdS = dU + pdV between the entropy (S), i...
Explanation:
The relationship TdS = dU pdV is a fundamental thermodynamic equation that relates the change in entropy (S), internal energy (U), pressure (p), temperature (T), and volume (V) of a system. This equation is derived from the first law of thermodynamics.
- The first law of thermodynamics states that energy cannot be created or destroyed, only transformed from one form to another. This law is applicable to all processes, whether they are reversible or irreversible.
- The equation TdS = dU pdV is valid for both reversible and irreversible processes. However, for an irreversible process, the change in entropy (dS) is always greater than zero.
- This equation is not limited to ideal gases, but can be applied to any system for which the internal energy (U), pressure (p), temperature (T), and volume (V) can be defined.
- The equation TdS = dU pdV is equivalent to the first law of thermodynamics for a reversible process. This means that if a process is reversible, then the change in internal energy (dU) is equal to the heat added to the system (dQ) minus the work done by the system (dW), or dU = dQ - dW.
In summary, the statement that TdS = dU pdV is equivalent to the first law of thermodynamics for a reversible process is correct. This equation is a fundamental relationship that is applicable to all thermodynamic processes, whether they are reversible or irreversible, and can be used to calculate the change in entropy, internal energy, pressure, temperature, and volume of a system.
The relationship TdS = dU pdV is a fundamental thermodynamic equation that relates the change in entropy (S), internal energy (U), pressure (p), temperature (T), and volume (V) of a system. This equation is derived from the first law of thermodynamics.
- The first law of thermodynamics states that energy cannot be created or destroyed, only transformed from one form to another. This law is applicable to all processes, whether they are reversible or irreversible.
- The equation TdS = dU pdV is valid for both reversible and irreversible processes. However, for an irreversible process, the change in entropy (dS) is always greater than zero.
- This equation is not limited to ideal gases, but can be applied to any system for which the internal energy (U), pressure (p), temperature (T), and volume (V) can be defined.
- The equation TdS = dU pdV is equivalent to the first law of thermodynamics for a reversible process. This means that if a process is reversible, then the change in internal energy (dU) is equal to the heat added to the system (dQ) minus the work done by the system (dW), or dU = dQ - dW.
In summary, the statement that TdS = dU pdV is equivalent to the first law of thermodynamics for a reversible process is correct. This equation is a fundamental relationship that is applicable to all thermodynamic processes, whether they are reversible or irreversible, and can be used to calculate the change in entropy, internal energy, pressure, temperature, and volume of a system.
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Considering the relationship TdS = dU + pdV between the entropy (S), internal energy (U), pressure (p), temperature (T) and volume (V), which of the following statements is correct?a)It is applicable only for a reversible processb)For an irreversible process, TdS dU + pdVc)It is valid only for an ideal gasd)It is equivalent to 1 law, for a reversible processCorrect answer is option 'D'. Can you explain this answer?
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Considering the relationship TdS = dU + pdV between the entropy (S), internal energy (U), pressure (p), temperature (T) and volume (V), which of the following statements is correct?a)It is applicable only for a reversible processb)For an irreversible process, TdS dU + pdVc)It is valid only for an ideal gasd)It is equivalent to 1 law, for a reversible processCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Considering the relationship TdS = dU + pdV between the entropy (S), internal energy (U), pressure (p), temperature (T) and volume (V), which of the following statements is correct?a)It is applicable only for a reversible processb)For an irreversible process, TdS dU + pdVc)It is valid only for an ideal gasd)It is equivalent to 1 law, for a reversible processCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Considering the relationship TdS = dU + pdV between the entropy (S), internal energy (U), pressure (p), temperature (T) and volume (V), which of the following statements is correct?a)It is applicable only for a reversible processb)For an irreversible process, TdS dU + pdVc)It is valid only for an ideal gasd)It is equivalent to 1 law, for a reversible processCorrect answer is option 'D'. Can you explain this answer?.
Considering the relationship TdS = dU + pdV between the entropy (S), internal energy (U), pressure (p), temperature (T) and volume (V), which of the following statements is correct?a)It is applicable only for a reversible processb)For an irreversible process, TdS dU + pdVc)It is valid only for an ideal gasd)It is equivalent to 1 law, for a reversible processCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Considering the relationship TdS = dU + pdV between the entropy (S), internal energy (U), pressure (p), temperature (T) and volume (V), which of the following statements is correct?a)It is applicable only for a reversible processb)For an irreversible process, TdS dU + pdVc)It is valid only for an ideal gasd)It is equivalent to 1 law, for a reversible processCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Considering the relationship TdS = dU + pdV between the entropy (S), internal energy (U), pressure (p), temperature (T) and volume (V), which of the following statements is correct?a)It is applicable only for a reversible processb)For an irreversible process, TdS dU + pdVc)It is valid only for an ideal gasd)It is equivalent to 1 law, for a reversible processCorrect answer is option 'D'. Can you explain this answer?.
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