dorsal/arxiv
View SchemaComment on: "Sadi Carnot on Carnot's theorem"
| Authors | Jacques Arnaud, Laurent Chusseau, Fabrice Philippe |
|---|---|
| Categories | |
| ArXiv ID | physics/0307104 |
| URL | https://arxiv.org/abs/physics/0307104 |
Abstract
Carnot established in 1824 that the efficiency $\eta_{C}$ of reversible engines operating between a hot bath at absolute temperature $T_{hot}$ and a cold bath at temperature $T_{cold}$ is equal to $1-T_{cold}/T_{hot}$. Carnot particularly considered air as a working fluid and small bath-temperature differences. Plugging into Carnot's expression modern experimental values, exact agreement with modern Thermodynamics is found. However, in a recently published paper ["Sadi Carnot on Carnot's theorem", \textit{Am. J. Phys.} \textbf{70}(1), 42-47, 2002], Guemez and others consider a "modified cycle" involving two isobars that they mistakenly attribute to Carnot. They calculate an efficiency considerably lower than $\eta_{C}$ and suggest that Carnot made compensating errors. Our contention is that the Carnot theory is, to the contrary, perfectly accurate.
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"abstract": "Carnot established in 1824 that the efficiency $\\eta_{C}$ of reversible\nengines operating between a hot bath at absolute temperature $T_{hot}$ and a\ncold bath at temperature $T_{cold}$ is equal to $1-T_{cold}/T_{hot}$. Carnot\nparticularly considered air as a working fluid and small bath-temperature\ndifferences. Plugging into Carnot\u0027s expression modern experimental values,\nexact agreement with modern Thermodynamics is found. However, in a recently\npublished paper [\"Sadi Carnot on Carnot\u0027s theorem\", \\textit{Am. J. Phys.}\n\\textbf{70}(1), 42-47, 2002], Guemez and others consider a \"modified cycle\"\ninvolving two isobars that they mistakenly attribute to Carnot. They calculate\nan efficiency considerably lower than $\\eta_{C}$ and suggest that Carnot made\ncompensating errors. Our contention is that the Carnot theory is, to the\ncontrary, perfectly accurate.",
"arxiv_id": "physics/0307104",
"authors": [
"Jacques Arnaud",
"Laurent Chusseau",
"Fabrice Philippe"
],
"categories": [
"physics.hist-ph",
"cond-mat.stat-mech"
],
"title": "Comment on: \"Sadi Carnot on Carnot\u0027s theorem\"",
"url": "https://arxiv.org/abs/physics/0307104"
},
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