JEE Mains · Physics · STD 11 - 11. thermodynamics
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?
- A Work done on the gas is close to \(582\, J\)
- B Work done by the gas is close to \(332\, J\)
- C Work done by the gas is close to \(582 \,{J}\)
- D Work done on the gas is close to \(332 \,J\)
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…
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