Equilibrium Statistical Physics, Plischke ex. 1.2

Thread starter percolator
Start date Sep 7, 2014
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Equilibrium Physics Statistical Statistical physics

AI Thread Summary

The discussion centers on solving a homework problem related to equilibrium statistical physics, specifically regarding the integration of heat capacity over temperature. The integral presented is $$\int_{T_i}^{T_f} dT \left( \frac{C_M}{T} \right)$$, leading to the equation $$C_M \ln T$$. Participants are seeking clarification on the steps required to derive the final equation from the integral. The conversation emphasizes the importance of understanding the integration process and its implications in statistical mechanics. Overall, the thread highlights a collaborative effort to clarify the mathematical approach to the problem.

Sep 7, 2014

percolator

Homework Statement

See: attached imageHow do we get the final equation? I'm obviously missing out on something..

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Sep 7, 2014

DrClaude

Mentor

$$
\int_{T_i}^{T_f} dT \left( \frac{C_M}{T} \right) = C_M \int_{T_i}^{T_f} \frac{dT}{T} = C_M \ln T
$$
Can you take it from there?

Sep 8, 2014

percolator

yeah, thanks!

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