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The Sackur-Tetrode equation has the following form for an ideal gas:

$${S}_{m}=R\left(\ln \left(\frac{V}{N{\Lambda}^{3}}\right)+\frac{5}{2}\right)$$

...where ${S}_{m}$ is the molar entropy, $R$ is the gas constant, ${V}$ is the volume, $N$ is the number of particles, and $\Lambda$ is the thermal wavelength.

Calculate the change in entropy for an isochoric process in which the temperature doubles.


  • $\Lambda=\sqrt{\cfrac{{h}^{2}}{2\pi m{k}_{B}T}}$
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