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Second law of thermodynamics, entropy

Problem 2.159

One mole of an ideal gas consisting of monatomic molecules is enclosed in a vessel at a temperature \(T_{0}=300 \mathrm{~K}\). How many times and in what way will the statistical weight of this system (gas) vary if it is heated isochorically by \(\Delta T=1.0 \mathrm{~K}\) ?

Reveal Answer
 2.159. Will increase Ω/Ω0=(1+ΔT/T0)iNA2=101.31⋅1021 times. \begin{aligned} &\text { 2.159. Will increase } \Omega / \Omega_{0}=\left(1+\Delta T / T_{0}\right)^{i N} A^{2}=10^{1.31 \cdot 10^{21}}\\ &\text { times. } \end{aligned}
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