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- W4224436738 abstract "Although supported by empirical data, two fundamental relations in thermodynamics are unproven. The current most authoritative statement of the third law contains an unproven assumption of the equivalency between entropy based on the distribution of energy and an entropy based on the distribution of matter at 0 K. The equality S0 + ∫(CV/T)dT = kBln(W/W0) where S0 is the zero point entropy, CV is the constant volume heat capacity, T is the absolute temperature, kB is Bolzmann’s constant, W is the number of microstates at T, and W0 is the number of microstates at 0 K has not previously been shown to be mathematically correct. This work offers a proof that positional and energy-based entropies are generally equal at 0 K, thus validating the assumption in the third law. But because positional entropy is not temperature dependent, any equality above 0 K is purely coincidental. This work also offers a mathematical proof of the equality between the entropy calculated from the temperature integral of (CV/T) and from kBln(W/W0) thus showing that heat capacity counts the number of energy microstates." @default.
- W4224436738 created "2022-04-27" @default.
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- W4224436738 date "2022-08-01" @default.
- W4224436738 modified "2023-09-23" @default.
- W4224436738 title "Counting microstates via heat capacity and implications for the third law" @default.
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- W4224436738 doi "https://doi.org/10.1016/j.jct.2022.106807" @default.
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