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FrontierScience / ae667a28-9659-4f33-a51e-7a19f133e111 / A paramagnetic sample is subjected to magnetic cooling. Calculate …

Problem

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problem

A paramagnetic sample is subjected to magnetic cooling. Calculate \\( \\left(\\frac{\\partial C_H}{\\partial H}\\right)\_\\tau \\) as a function of the isothermal magnetic susceptibility per unit volume \\( \\chi \\), the volume \\( V \\), the temperature \\( \\tau \\), and the magnetic \\( H \\) field, where \\( C_H \\) is the heat capacity at constant \\( H \\). Also, you may leave your answer in terms of derivatives of the susceptibility with respect to the temperature at constant magnetic field \\( \\left(\\frac{\\partial^n \\chi}{\\partial \\tau^n}\\right)\_H \\). In this problem, we consider high temperatures and do not need to consider the quantum effects of magnetic moments or the interactions between magnetic moments.

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subject

physics

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Source and history

upstream_id / Original problem ID: ae667a28-9659-4f33-a51e-7a19f133e111
task_id: df96297d-b37e-5ead-91d5-2a3012e5cc9e
task_key: olympiad--test--ae667a28~2d9659~2d4f33~2da51e~2d7a19f133e111
task_revision_id: 1
config / split: olympiad / test

Official source

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