ABC26PH0834 · Thermodynamics and Thermochemistry

Subject: Physical Chemistry · Chapter: Thermodynamics and Thermochemistry · Topic: Thermodynamics & Thermochemistry – 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)$\mathrm{U}_{\mathrm{m}}(\mathrm{T})=\mathrm{U}_{\mathrm{m}}(0)+3 \mathrm{RT}$ [Linear molecule; translation only]
(b)$\mathrm{U}_{\mathrm{m}}(\mathrm{T})=\mathrm{U}_{\mathrm{m}}(0)+5 / 2 \mathrm{RT}$ [Linear molecule; translation and rotation only]
(c)$\mathrm{U}_{\mathrm{m}}(\mathrm{T})=\mathrm{U}_{\mathrm{m}}(0)+3 / 2 \mathrm{RT}$ (Nonlinear molecule; translation and rotation only)
(d)$\mathrm{U}_{\mathrm{m}}(\mathrm{T})=\mathrm{U}_{\mathrm{m}}(0)+\mathrm{RT}$ (Nonlinear molecule; translation only)
Answer
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Explanation
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