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One mole of an ideal gas at 900 K undergoes two reversible processes, I followed by II, as shown below.
If the work done by the gas in the two processes are same, the value of ln V3/V2 is ___.

(U: internal energy, S: entropy, p: pressure, V: volume, R: gas constant)
(Given: molar heat capacity at constant volume, Cv,m of the gas is 5/2 R)
    Correct answer is '10'. Can you explain this answer?
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    Most Upvoted Answer
    One mole of an ideal gas at 900 K undergoes two reversible processes, ...
    The first process is adiabatic since entropy is constant.
    W1 = ΔU
    ΔU = 450R - 2250R = -1800R
    W1 = -1800R ...(1)
    In the second process, internal energy is constant; it means it is an isothermal process.

    Given, n = 1 mole; here, temperature is unknown.
    U = nCVT for process II

    Equation (1) = Equation (2)
    W1 = W2  
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    One mole of an ideal gas at 900 K undergoes two reversible processes, I followed by II, as shown below.If the work done by the gas in the two processes are same, the value of ln V3/V2 is ___.(U: internal energy, S: entropy, p: pressure, V: volume, R: gas constant)(Given: molar heat capacity at constant volume, Cv,m of the gas is 5/2 R)Correct answer is '10'. Can you explain this answer?
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    One mole of an ideal gas at 900 K undergoes two reversible processes, I followed by II, as shown below.If the work done by the gas in the two processes are same, the value of ln V3/V2 is ___.(U: internal energy, S: entropy, p: pressure, V: volume, R: gas constant)(Given: molar heat capacity at constant volume, Cv,m of the gas is 5/2 R)Correct answer is '10'. 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 One mole of an ideal gas at 900 K undergoes two reversible processes, I followed by II, as shown below.If the work done by the gas in the two processes are same, the value of ln V3/V2 is ___.(U: internal energy, S: entropy, p: pressure, V: volume, R: gas constant)(Given: molar heat capacity at constant volume, Cv,m of the gas is 5/2 R)Correct answer is '10'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One mole of an ideal gas at 900 K undergoes two reversible processes, I followed by II, as shown below.If the work done by the gas in the two processes are same, the value of ln V3/V2 is ___.(U: internal energy, S: entropy, p: pressure, V: volume, R: gas constant)(Given: molar heat capacity at constant volume, Cv,m of the gas is 5/2 R)Correct answer is '10'. Can you explain this answer?.
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