The molar internal energy of a gas at temperature T is Um(T). The molar internal energy at T = 0 is Um(0)… · ABC26PH0834

Subject: Physical Chemistry · Chapter: Thermodynamics · Topic: Thermodynamics – General · Exam: JAM 2001-2022 · Marks: 2 · Difficulty: Medium

The molar internal energy of a gas at temperature T is $U_m(T)$. The molar internal energy at T = 0 is $U_m(0)$. The correct expression that relates these two with appropriate contributions is :
(a)$U_m(T) = U_m(0) + 3RT$ [Linear molecule; translation only]
(b)$U_m(T) = U_m(0) + 5/2\,RT$ [Linear molecule; translation and rotation only]
(c)$U_m(T) = U_m(0) + 3/2\,RT$ (Nonlinear molecule; translation and rotation only)
(d)$U_m(T) = U_m(0) + RT$ (Nonlinear molecule; translation only)
Answer
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Explanation
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