ABC26PH1371 · Statistical Thermodynamics

Subject: Physical Chemistry · Chapter: Statistical Thermodynamics · Topic: Statistical Thermodynamics – General · Exam: NET DEC 2011 · Marks: 2 · Difficulty: Medium

$\mathrm{P}_{\mathrm{A}}$ and $\mathrm{P}_{\mathrm{B}}$ denote the populations of two energy states $\mathrm{E}_{\mathrm{A}}$ and $\mathrm{E}_{\mathrm{B}}$ and $\mathrm{E}_{\mathrm{A}}>\mathrm{E}_{\mathrm{B}}$, The correct statement when the temperature $\mathrm{T}_{1}>\mathrm{T}_{2}$ is
(a)$\mathrm{P}_{\mathrm{A}}\left(\mathrm{T}_{1}\right)>\mathrm{P}_{\mathrm{B}}\left(\mathrm{T}_{1}\right), \mathrm{P}_{\mathrm{A}}\left(\mathrm{T}_{2}\right)<\mathrm{P}_{\mathrm{B}}\left(\mathrm{T}_{2}\right)$ and $\left(\mathrm{P}_{\mathrm{A}} / \mathrm{P}_{\mathrm{B}}\right) \mathrm{T}_{1}>\left(\mathrm{P}_{\mathrm{A}} / \mathrm{P}_{\mathrm{B}}\right) \mathrm{T}_{2}$
(b)$\mathrm{P}_{\mathrm{A}}\left(\mathrm{T}_{1}\right)<\mathrm{P}_{\mathrm{B}}\left(\mathrm{T}_{1}\right), \mathrm{P}_{\mathrm{A}}\left(\mathrm{T}_{2}\right)>\mathrm{P}_{\mathrm{B}}\left(\mathrm{T}_{2}\right)$ and $\left(\mathrm{P}_{\mathrm{A}} / \mathrm{P}_{\mathrm{B}}\right) \mathrm{T}_{1}>\left(\mathrm{P}_{\mathrm{A}} / \mathrm{P}_{\mathrm{B}}\right) \mathrm{T}_{2}$
(c)$\mathrm{P}_{\mathrm{A}}\left(\mathrm{T}_{1}\right)<\mathrm{P}_{\mathrm{B}}\left(\mathrm{T}_{1}\right), \mathrm{P}_{\mathrm{A}}\left(\mathrm{T}_{2}\right)<\mathrm{P}_{\mathrm{B}}\left(\mathrm{T}_{2}\right)$ and $\left(\mathrm{P}_{\mathrm{A}} / \mathrm{P}_{\mathrm{B}}\right) \mathrm{T}_{1}>\left(\mathrm{P}_{\mathrm{A}} / \mathrm{P}_{\mathrm{B}}\right) \mathrm{T}_{2}$
(d)$\mathrm{P}_{\mathrm{A}}\left(\mathrm{T}_{1}\right)<\mathrm{P}_{\mathrm{B}}\left(\mathrm{T}_{1}\right), \mathrm{P}_{\mathrm{A}}\left(\mathrm{T}_{2}\right)<\mathrm{P}_{\mathrm{B}}\left(\mathrm{T}_{2}\right)$ and $\left(\mathrm{P}_{\mathrm{A}} / \mathrm{P}_{\mathrm{B}}\right) \mathrm{T}_{1}<\left(\mathrm{P}_{\mathrm{A}} / \mathrm{P}_{\mathrm{B}}\right) \mathrm{T}_{2}$
Answer
Answer (as printed): C
Explanation
No explanation was printed for this question.

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