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A gas does 4.5 J of external work during adiabatic expansion. If its temperature falls by 2 K, then its internal energy will be
- a)Increased by 4.5 J
- b)Decreased by 4.5 J
- c)Decreased by 2.25 J
- d)Increased by 9.0 J
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A gas does 4.5 J of external work during adiabatic expansion. If its ...
According to first law in thermodynamics dQ = dU + dW and for adiabatic dQ = 0
dQ = 0
dU = −dW
dU =−4.5 J
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A gas does 4.5 J of external work during adiabatic expansion. If its ...
Adiabatic Expansion and Work
Adiabatic expansion refers to the process in which a gas expands or compresses without any heat exchange with its surroundings. During adiabatic expansion, the temperature of the gas may change due to the work being done on or by the gas.
The work done during adiabatic expansion is given by the formula:
W = ΔU - Q
Where:
W: Work done on or by the gas (in this case, it is positive because work is done by the gas)
ΔU: Change in internal energy of the gas
Q: Heat exchange with the surroundings (in this case, it is zero since the process is adiabatic)
Given Information
In this question, we are given that the gas does 4.5 J of external work during adiabatic expansion. We are also told that the temperature of the gas falls by 2 K.
Calculating Change in Internal Energy
Using the formula for work done during adiabatic expansion, we can rearrange the equation to solve for the change in internal energy:
ΔU = W + Q
Since the process is adiabatic, Q = 0. Therefore:
ΔU = W
Substituting the given value of work done (W = 4.5 J), we find that the change in internal energy is also 4.5 J.
Answer Explanation
The question asks for the change in internal energy of the gas due to the adiabatic expansion. From the calculation above, we have determined that the change in internal energy is 4.5 J.
However, the options provided are in terms of the change in internal energy, not the actual value. The correct option is "Decreased by 4.5 J" (option B), which means that the internal energy of the gas has decreased by 4.5 J during the adiabatic expansion.
It is important to note that the change in internal energy of the gas depends on the work done and not the change in temperature. The change in temperature is provided in the question to give additional information about the process but is not directly related to the change in internal energy.
Adiabatic expansion refers to the process in which a gas expands or compresses without any heat exchange with its surroundings. During adiabatic expansion, the temperature of the gas may change due to the work being done on or by the gas.
The work done during adiabatic expansion is given by the formula:
W = ΔU - Q
Where:
W: Work done on or by the gas (in this case, it is positive because work is done by the gas)
ΔU: Change in internal energy of the gas
Q: Heat exchange with the surroundings (in this case, it is zero since the process is adiabatic)
Given Information
In this question, we are given that the gas does 4.5 J of external work during adiabatic expansion. We are also told that the temperature of the gas falls by 2 K.
Calculating Change in Internal Energy
Using the formula for work done during adiabatic expansion, we can rearrange the equation to solve for the change in internal energy:
ΔU = W + Q
Since the process is adiabatic, Q = 0. Therefore:
ΔU = W
Substituting the given value of work done (W = 4.5 J), we find that the change in internal energy is also 4.5 J.
Answer Explanation
The question asks for the change in internal energy of the gas due to the adiabatic expansion. From the calculation above, we have determined that the change in internal energy is 4.5 J.
However, the options provided are in terms of the change in internal energy, not the actual value. The correct option is "Decreased by 4.5 J" (option B), which means that the internal energy of the gas has decreased by 4.5 J during the adiabatic expansion.
It is important to note that the change in internal energy of the gas depends on the work done and not the change in temperature. The change in temperature is provided in the question to give additional information about the process but is not directly related to the change in internal energy.
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A gas does 4.5 J of external work during adiabatic expansion. If its temperature falls by 2 K, then its internal energy will bea)Increased by 4.5 Jb)Decreased by 4.5 Jc)Decreased by 2.25 Jd)Increased by 9.0 JCorrect answer is option 'B'. Can you explain this answer?
Question Description
A gas does 4.5 J of external work during adiabatic expansion. If its temperature falls by 2 K, then its internal energy will bea)Increased by 4.5 Jb)Decreased by 4.5 Jc)Decreased by 2.25 Jd)Increased by 9.0 JCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A gas does 4.5 J of external work during adiabatic expansion. If its temperature falls by 2 K, then its internal energy will bea)Increased by 4.5 Jb)Decreased by 4.5 Jc)Decreased by 2.25 Jd)Increased by 9.0 JCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A gas does 4.5 J of external work during adiabatic expansion. If its temperature falls by 2 K, then its internal energy will bea)Increased by 4.5 Jb)Decreased by 4.5 Jc)Decreased by 2.25 Jd)Increased by 9.0 JCorrect answer is option 'B'. Can you explain this answer?.
A gas does 4.5 J of external work during adiabatic expansion. If its temperature falls by 2 K, then its internal energy will bea)Increased by 4.5 Jb)Decreased by 4.5 Jc)Decreased by 2.25 Jd)Increased by 9.0 JCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A gas does 4.5 J of external work during adiabatic expansion. If its temperature falls by 2 K, then its internal energy will bea)Increased by 4.5 Jb)Decreased by 4.5 Jc)Decreased by 2.25 Jd)Increased by 9.0 JCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A gas does 4.5 J of external work during adiabatic expansion. If its temperature falls by 2 K, then its internal energy will bea)Increased by 4.5 Jb)Decreased by 4.5 Jc)Decreased by 2.25 Jd)Increased by 9.0 JCorrect answer is option 'B'. Can you explain this answer?.
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A gas does 4.5 J of external work during adiabatic expansion. If its temperature falls by 2 K, then its internal energy will bea)Increased by 4.5 Jb)Decreased by 4.5 Jc)Decreased by 2.25 Jd)Increased by 9.0 JCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A gas does 4.5 J of external work during adiabatic expansion. If its temperature falls by 2 K, then its internal energy will bea)Increased by 4.5 Jb)Decreased by 4.5 Jc)Decreased by 2.25 Jd)Increased by 9.0 JCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A gas does 4.5 J of external work during adiabatic expansion. If its temperature falls by 2 K, then its internal energy will bea)Increased by 4.5 Jb)Decreased by 4.5 Jc)Decreased by 2.25 Jd)Increased by 9.0 JCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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