JEE Mains · Physics · STD 11 - Thermodynamics
- JEE Mains 2021
- Medium
- MCQ
One mole of an ideal gas is taken through an adiabatic process where the temperature rises from \(27^{\circ} {C}\) to \(37^{\circ} {C}\). If the ideal gas is composed of polyatomic molecule that has \(4\) vibrational modes which of the following is true?
Pick an option to check your answer.
Answer & Solution
Correct Answer
(A) Work done on the gas is close to \(582\, J\)
Step-by-step Solution
Detailed explanation
For an ideal gas, each vibrational mode, corresponds to two degrees of freedom, hence, \({f}=3\) (trans.) \(+3(\) rot. \()+8(\) vib. \()=14\)
\(\gamma=1+\frac{2}{f}\)
\(\gamma =1+\frac{2}{14}=\frac{8}{7}\)
\(W =\frac{n R \Delta T}{\gamma-1}=-582\)
As \({W}\,<\,0\). Work is done on the gas.
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