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An ideal gas is allowed to expand both reversibly and irreversibly in an isolated system. If Ti is the initial temperature and Tf is the final temperature, which of the following statements is correct
[AIEEE 2006]
  • a)
    Tf > Ti for reversible process but Tf = Ti for irreversible process
  • b)
     (Tf)rev = (Tf)irrev
  • c)
    Tf = Ti for both reversible and irreversible processes
  • d)
    (Tf)irrev > (Tf)rev
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
An ideal gas is allowed to expand both reversibly and irreversibly in ...
The correct answer is option D
According to first law of thermodynamics
ΔQ =ΔU + ΔW
An isolated system is adiabatic. This means ΔQ = 0. 
The first law in this case yields
0= ΔU + ΔW ⇒ ΔW=−ΔU… (1)
For expansion, ΔW is positive and hence ΔU is negative. This means Tf is less than Ti in both the cases. However it is interesting to see in which case the final temperature is greater.
For the same expansion of volume, the work done in an irreversible process is greater than that in a reversible one because the system has to work against friction etc. Thus
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Most Upvoted Answer
An ideal gas is allowed to expand both reversibly and irreversibly in ...
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Community Answer
An ideal gas is allowed to expand both reversibly and irreversibly in ...
B)Tf > Ti
c)Tf = Ti
d)Tf < ti="" />
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An ideal gas is allowed to expand both reversibly and irreversibly in an isolated system. If Tiis the initial temperature and Tfis the final temperature, which of the following statements is correct[AIEEE 2006]a)Tf> Tifor reversible process but Tf= Tifor irreversible processb)(Tf)rev= (Tf)irrevc)Tf= Tifor both reversible and irreversible processesd)(Tf)irrev> (Tf)revCorrect answer is option 'D'. Can you explain this answer?
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An ideal gas is allowed to expand both reversibly and irreversibly in an isolated system. If Tiis the initial temperature and Tfis the final temperature, which of the following statements is correct[AIEEE 2006]a)Tf> Tifor reversible process but Tf= Tifor irreversible processb)(Tf)rev= (Tf)irrevc)Tf= Tifor both reversible and irreversible processesd)(Tf)irrev> (Tf)revCorrect answer is option 'D'. 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 An ideal gas is allowed to expand both reversibly and irreversibly in an isolated system. If Tiis the initial temperature and Tfis the final temperature, which of the following statements is correct[AIEEE 2006]a)Tf> Tifor reversible process but Tf= Tifor irreversible processb)(Tf)rev= (Tf)irrevc)Tf= Tifor both reversible and irreversible processesd)(Tf)irrev> (Tf)revCorrect answer is option 'D'. 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 An ideal gas is allowed to expand both reversibly and irreversibly in an isolated system. If Tiis the initial temperature and Tfis the final temperature, which of the following statements is correct[AIEEE 2006]a)Tf> Tifor reversible process but Tf= Tifor irreversible processb)(Tf)rev= (Tf)irrevc)Tf= Tifor both reversible and irreversible processesd)(Tf)irrev> (Tf)revCorrect answer is option 'D'. Can you explain this answer?.
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