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Physics Thermodynamics JEE Main 2021 MCQ (Single Correct)

One mole of an ideal gas is taken through an adiabatic process where the temperature rises from 27 0 C to 37 0 C. If the ideal gas is composed of polyatomic molecule that has 4 vibrational modes, which of the following is true?

A
work done by the gas is close to 332J
B
work done on the gas is close to 582J
C
work done by the gas is close to 582J
D
work done on the gas is close to 332J

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The correct answer is:
B

Since, each vibrational mode, corresponds to two degrees of freedom, hence,

f=3(trans.) +3(rot.) + 8 (vib.) = 14

&

As W<0. work is done on the gas.

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