Establish the Boltzmann relation 
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Let's carefully derive the Boltzmann relation step by step, manually. --- ### Step 1: Recall the definition of entropy From thermodynamics, the entropy change $dS$ is defined as: $$ dS = \frac{dQ_\text{rev}}{T} $$ where: * $dQ_\text{rev}$ = infinitesimal heat absorbed in a reversible ________ ___ ___ ________ ________ ____.
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