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Amrutha T posted an Question
July 14, 2020 • 15:01 pm 30 points
  • IIT JAM
  • Physics (PH)

L. an ideal gas consists of three dimensional polyatomi olecules. the temperature is such that only one vibrational mode is excited, if r denotes the gas consta

l. An ideal gas consists of three dimensional polyatomi olecules. The temperature is such that only one Vibrational mode is excited, If R denotes the gas Constant, then the specific heat at constant volume of one mole of the gas at this temperature is (a) 3R b) R 9 -R 2 (c) 4R (d) |JAM PH-20

2 Answer(s) Answer Now
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    Ruby negi best-answer

    option c is correct... one vibration mode excited this means 2 d.o.f.. remember this..

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    for any doubt u could ask...

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    what clarification u want ..

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    mam, please give idea about no of rotational, translational, vibrational motion for each monoatomic, diatomic, triatomic and poly atomic molecule

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    i have not much knowlege about it

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    but i met several questions relating it

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    okay ,give me sometime, i'll provide u

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    yes mam

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    Ravi prakash yadav Best Answer

    C is the answer

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    sir, thank u

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    i have another doubt relating to this question.

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    what's the doubt?

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    one minute please

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    if the molecule is polyatomic but not specifying vibrational mode then its cv=3R right???

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    CV=fR/2,where f is the degree of freedom,for a polyatomic gas molecule there are 3translational degree of freedom and 3 rotational degree of freedom.total 3+3=6.Hence using CV=fR/2=6*R/2=3R

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    but Cv=fR/2 can't be directly used when vibrational modes are there,if you are using this formula in vibrational mode case,then for one vibrational mode there will be two degrees of freedom

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    ok

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    f=3(translational)+3(rotational)+2(vibrational)=8.note-for one vibrational mode 2 degree of freedom will be there.Now using CV=fR/2=8R/2=4R

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    i have found many questions on this area

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    can i ask two more question??

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    ok

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    look at this question

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    i hope its clear to u, i mean clarity

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    yes sir

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    sir, please tell me the no of translational, rotational, vibrational motion for each monoatomic, diatomic, triatomic, polyatomic molecule

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    see attached

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    Note-Generally vibrational modes are not counted while calculating the degree of freedom unless it is mentioned in the question because vibrational modes are excited at very high temperatures. If your first question of polyatomic gass molecule it was mentioned that vibrational modes are excited.Hence that will be considered while calculating the degrees of freedom. And in your second question of O2 molecule it wasn't mentioned,hence only 5degrre of freedom are considered.

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    thank u so much sir

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