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The reversible expansion of an ideal gas under adiabatic and isothermal conditions is shown in the figure. Which of the following statements is/are correct?
  • a)
    (1) T1 = T2
  • b)
    (2) T3 > T1
  • c)
    (3) wisothermal > wadiabatic
  • d)
    (4) ΔUisothermal > ΔUadiabatic
Correct answer is option 'A,C,D'. Can you explain this answer?
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Most Upvoted Answer
The reversible expansion of an ideal gas under adiabatic and isotherm...
(1) For an isothermal process, temperature is constant.
∴ T1 = T2
(2) For an adiabatic process, temperature decreases.
∴ T3 < />1
(3) In Wisothermal, ΔU = 0; so energy gets converted into work done, whereas in an adiabatic process, Q = 0.
∴ Wisothermal > Wadiabatic
(4) For an isothermal process, change in internal energy is constant, but not in an adiabatic process.
Thus, ΔUisothermal = 0, ΔUadiabatic = −ve
∴ ΔUisothermal > ΔUadiabatic
Hence, the correct options are 1, 3 and 4.
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A gaseous sample is generally allowed to do only expansion/compression type of work against its surroundings. The work done in case of an irreversible expansion (in the intermediate stages, of expansion/compression the states of gases are not define d). The work done can be calculated usingdW = NextdVwhile in case of reversible process the work done can be calculated using dw = PdV where P is pressure of gas at some intermediate stages. Like for an isothermal reversible process.Since d w = P d V so magnitude of worked one can also be calculated by, calculating the area under the PV curve of the reversible process in PV diagram.Q.If four identical samples of an ideal gas initially at similar state (P0, Vo, T0) are allowed to expand to double their volumes by four different processes..I : by isothermal irreversible process II : by reversible process having equation P2V = constant III : by reversible adiabatic process IV: by irreversible adiabatic expansion against constant external pressure.Then in the graph shown the final state is represented by four different points then, the correct match can be

A gaseous sample is generally allowed to do only expansion/compression type of work against its surroundings. The work done in case of an irreversible expansion (in the intermediate stages, of expansion/compression the states of gases are not define d). The work done can be calculated usingdW = NextdVwhile in case of reversible process the work done can be calculated using dw = PdV where P is pressure of gas at some intermediate stages. Like for an isothermal reversible process.Since d w = P d V so magnitude of worked one can also be calculated by, calculating the area under the PV curve of the reversible process in PV diagram.Q.Two samples (initially under same states) of an ideal gas are first allowed to expand to double their volume using irreversible isothermal expansion against constant external pressure, then samples are returned back to their original volume first by reversible adiabatic process and second by reversible process having equation PV2 = constant then

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The reversible expansion of an ideal gas under adiabatic and isothermal conditions is shown in the figure. Which of the following statements is/are correct?a)(1) T1 = T2b)(2) T3 > T1c)(3) wisothermal > wadiabaticd)(4) ΔUisothermal > ΔUadiabaticCorrect answer is option 'A,C,D'. Can you explain this answer?
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The reversible expansion of an ideal gas under adiabatic and isothermal conditions is shown in the figure. Which of the following statements is/are correct?a)(1) T1 = T2b)(2) T3 > T1c)(3) wisothermal > wadiabaticd)(4) ΔUisothermal > ΔUadiabaticCorrect answer is option 'A,C,D'. 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 The reversible expansion of an ideal gas under adiabatic and isothermal conditions is shown in the figure. Which of the following statements is/are correct?a)(1) T1 = T2b)(2) T3 > T1c)(3) wisothermal > wadiabaticd)(4) ΔUisothermal > ΔUadiabaticCorrect answer is option 'A,C,D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The reversible expansion of an ideal gas under adiabatic and isothermal conditions is shown in the figure. Which of the following statements is/are correct?a)(1) T1 = T2b)(2) T3 > T1c)(3) wisothermal > wadiabaticd)(4) ΔUisothermal > ΔUadiabaticCorrect answer is option 'A,C,D'. Can you explain this answer?.
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