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Statement-1 : The amount of work done in the isothermal expansion is greater than work done in the adiabatic system for same final volume.
Statement-2 : In the adiabatic expansion of a gas temperature and pressure both decrease due to decrease in internal energy of the system.
- a)Statement-1 is True, Statement-2 is True; Statement-1 is a correct explanation for Statement-2.
- b)Statement-2 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
- c)Statement-2 is True, Statement-2 is False.
- d)Statement-2 is False, Statement-2 is True
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Statement-1: The amount of work done in the isothermal expansion is gr...
In adiabatic expansion
∵ P & T both decreases hence pressure is less than the pressure of isothermal process.
∴ Work done in reversible adiabatic is less.
Hence, the correct answer is Option A.
∵ P & T both decreases hence pressure is less than the pressure of isothermal process.
∴ Work done in reversible adiabatic is less.
Hence, the correct answer is Option A.
Most Upvoted Answer
Statement-1: The amount of work done in the isothermal expansion is gr...
Explanation:
According to the first law of thermodynamics, the work done by a gas during any process is given by the expression:
W = ∆U + Q
Where, ∆U is the change in internal energy of the system and Q is the heat exchange with the surroundings.
In an isothermal process, the temperature of the system remains constant, and hence, the change in internal energy (∆U) is zero. Therefore, the work done by the gas is given by:
W = Q
On the other hand, in an adiabatic process, there is no heat exchange between the system and the surroundings. Therefore, Q is zero. Hence, the work done by the gas is given by:
W = ∆U
This means that the amount of work done in an isothermal process is greater than the work done in an adiabatic process for the same final volume.
Now, let's move to Statement-2. During an adiabatic expansion, the gas expands without any heat exchange with the surroundings. As a result, the internal energy of the gas decreases. This leads to a decrease in temperature and pressure of the gas.
Therefore, Statement-2 is true. Now, let's check if Statement-1 provides a correct explanation for Statement-2.
As we have already seen, the work done in an isothermal process is greater than the work done in an adiabatic process for the same final volume. This means that in an isothermal process, the energy released by the gas is greater than in an adiabatic process. Therefore, in an isothermal expansion, the decrease in internal energy of the gas is greater than in an adiabatic expansion. This leads to a greater decrease in temperature and pressure in an isothermal expansion as compared to an adiabatic expansion.
Therefore, Statement-1 is a correct explanation for Statement-2.
Hence, the correct answer is option A.
According to the first law of thermodynamics, the work done by a gas during any process is given by the expression:
W = ∆U + Q
Where, ∆U is the change in internal energy of the system and Q is the heat exchange with the surroundings.
In an isothermal process, the temperature of the system remains constant, and hence, the change in internal energy (∆U) is zero. Therefore, the work done by the gas is given by:
W = Q
On the other hand, in an adiabatic process, there is no heat exchange between the system and the surroundings. Therefore, Q is zero. Hence, the work done by the gas is given by:
W = ∆U
This means that the amount of work done in an isothermal process is greater than the work done in an adiabatic process for the same final volume.
Now, let's move to Statement-2. During an adiabatic expansion, the gas expands without any heat exchange with the surroundings. As a result, the internal energy of the gas decreases. This leads to a decrease in temperature and pressure of the gas.
Therefore, Statement-2 is true. Now, let's check if Statement-1 provides a correct explanation for Statement-2.
As we have already seen, the work done in an isothermal process is greater than the work done in an adiabatic process for the same final volume. This means that in an isothermal process, the energy released by the gas is greater than in an adiabatic process. Therefore, in an isothermal expansion, the decrease in internal energy of the gas is greater than in an adiabatic expansion. This leads to a greater decrease in temperature and pressure in an isothermal expansion as compared to an adiabatic expansion.
Therefore, Statement-1 is a correct explanation for Statement-2.
Hence, the correct answer is option A.
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Statement-1: The amount of work done in the isothermal expansion is gr...
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Statement-1: The amount of work done in the isothermal expansion is greater than work done in the adiabatic system for same final volume.Statement-2 : In the adiabatic expansion of a gas temperature and pressure both decrease due to decrease in internal energy of the system.a)Statement-1 is True, Statement-2 is True; Statement-1 is a correct explanation for Statement-2.b)Statement-2 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.c)Statement-2 is True, Statement-2 is False.d)Statement-2 is False, Statement-2 is TrueCorrect answer is option 'A'. Can you explain this answer?
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Statement-1: The amount of work done in the isothermal expansion is greater than work done in the adiabatic system for same final volume.Statement-2 : In the adiabatic expansion of a gas temperature and pressure both decrease due to decrease in internal energy of the system.a)Statement-1 is True, Statement-2 is True; Statement-1 is a correct explanation for Statement-2.b)Statement-2 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.c)Statement-2 is True, Statement-2 is False.d)Statement-2 is False, Statement-2 is TrueCorrect answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Statement-1: The amount of work done in the isothermal expansion is greater than work done in the adiabatic system for same final volume.Statement-2 : In the adiabatic expansion of a gas temperature and pressure both decrease due to decrease in internal energy of the system.a)Statement-1 is True, Statement-2 is True; Statement-1 is a correct explanation for Statement-2.b)Statement-2 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.c)Statement-2 is True, Statement-2 is False.d)Statement-2 is False, Statement-2 is TrueCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Statement-1: The amount of work done in the isothermal expansion is greater than work done in the adiabatic system for same final volume.Statement-2 : In the adiabatic expansion of a gas temperature and pressure both decrease due to decrease in internal energy of the system.a)Statement-1 is True, Statement-2 is True; Statement-1 is a correct explanation for Statement-2.b)Statement-2 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.c)Statement-2 is True, Statement-2 is False.d)Statement-2 is False, Statement-2 is TrueCorrect answer is option 'A'. Can you explain this answer?.
Statement-1: The amount of work done in the isothermal expansion is greater than work done in the adiabatic system for same final volume.Statement-2 : In the adiabatic expansion of a gas temperature and pressure both decrease due to decrease in internal energy of the system.a)Statement-1 is True, Statement-2 is True; Statement-1 is a correct explanation for Statement-2.b)Statement-2 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.c)Statement-2 is True, Statement-2 is False.d)Statement-2 is False, Statement-2 is TrueCorrect answer is option 'A'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Statement-1: The amount of work done in the isothermal expansion is greater than work done in the adiabatic system for same final volume.Statement-2 : In the adiabatic expansion of a gas temperature and pressure both decrease due to decrease in internal energy of the system.a)Statement-1 is True, Statement-2 is True; Statement-1 is a correct explanation for Statement-2.b)Statement-2 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.c)Statement-2 is True, Statement-2 is False.d)Statement-2 is False, Statement-2 is TrueCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Statement-1: The amount of work done in the isothermal expansion is greater than work done in the adiabatic system for same final volume.Statement-2 : In the adiabatic expansion of a gas temperature and pressure both decrease due to decrease in internal energy of the system.a)Statement-1 is True, Statement-2 is True; Statement-1 is a correct explanation for Statement-2.b)Statement-2 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.c)Statement-2 is True, Statement-2 is False.d)Statement-2 is False, Statement-2 is TrueCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Statement-1: The amount of work done in the isothermal expansion is greater than work done in the adiabatic system for same final volume.Statement-2 : In the adiabatic expansion of a gas temperature and pressure both decrease due to decrease in internal energy of the system.a)Statement-1 is True, Statement-2 is True; Statement-1 is a correct explanation for Statement-2.b)Statement-2 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.c)Statement-2 is True, Statement-2 is False.d)Statement-2 is False, Statement-2 is TrueCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
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