Consider a system of three identical and distinguishable non-interacting particles and three available… · ABC26PH0559

Subject: Physical Chemistry · Chapter: Statistical Thermodynamics · Topic: Statistical Thermodynamics – General · Exam: GATE 2005-2021 · Marks: 2 · Difficulty: Hard

Consider a system of three identical and distinguishable non-interacting particles and three available nondegenerate single particle energy levels having energies $0, \varepsilon$ and $2\varepsilon$. The system is in contact with a heat bath of temperature TK. A total energy of $2\varepsilon$ is shared by these three particles. The number of ways the particles can be distributed is ____
Answer
Answer (as printed): 6

The options are missing from the source scan for this question, so there is nothing here for this letter to point at. The letter is what the book printed.

Explanation
Answer: 6 — Total 2ε among three distinguishable particles: one particle at 2ε with the others at 0 (3 ways), or two particles at ε (3 ways). 3 + 3 = 6.

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