Gibbs–Duhem equation

relationship between changes in chemical potential for components in thermodynamic system
rdfs:label
"Gibbs–Duhem equation"@en
skos:altLabel
"Gibbs-Duhem equation"@en
schema:description
"relationship between changes in chemical potential for components in thermodynamic system"@en
schema:dateModified "2026-09-24T21:53:50+00:00"^^xsd:dateTime
schema:version 2549111987
wikibase:identifiers 7
wikibase:sitelinks 13
wikibase:statements 21
p:P12385 wd:statement/Q899155-111a0a0c-cef1-40cf-a654-309da1016a78
p:P1296 wd:statement/Q899155-E607B2BB-AE99-4187-A45F-1B8CED6C0277
p:P138 wd:statement/q899155-75147BFE-3B17-4C94-B7F4-BE90053FE4E4
wd:statement/q899155-CBCC8365-C525-405B-BADF-69D00D390CC6
p:P1417 wd:statement/Q899155-4B3C9E19-C109-4B26-A1AC-39619CF701E7
p:P2534 wd:statement/Q899155-8d280bf4-4a93-5102-b984-20e52b7f0f93
wd:statement/Q899155-d23339ef-41c4-5263-d5e5-461681e08029
p:P31 wd:statement/Q899155-ef72bb4d-479b-5176-17cb-2f2ca34d77f3
wd:statement/Q899155-f8d9e679-4d0c-72f7-e69f-3e045fe6a127
p:P3222 wd:statement/Q899155-8B1673E7-9030-48F7-9C8F-DC41B10E5E9A
p:P6104 wd:statement/Q899155-702CEEFB-BA47-4447-95F9-B791E491A198
p:P6366 wd:statement/Q899155-81CB879D-CA78-4C11-890D-45DA0F7E5564
p:P646 wd:statement/Q899155-D2AE66B4-6289-4BF4-A239-3D51077F4737
p:P7235 wd:statement/Q899155-3e90fa9b-4996-065a-a7fe-1507c330676f
wd:statement/Q899155-5296f3cc-4286-a5ac-d015-ccb68249907f
wd:statement/Q899155-5a8c53c8-4afa-0db9-a5fc-65ec17564519
wd:statement/Q899155-74e7ff55-4064-8fa9-ec66-c23305c666f3
wd:statement/Q899155-85e184f4-4a62-38c5-e2b2-6a9248984941
wd:statement/Q899155-8826512e-472d-baf7-c000-c42deef80210
wd:statement/Q899155-95cab918-498c-118b-3b40-c80edc11fa1a
p:P7305 wd:statement/Q899155-94E369FA-70D1-4846-84DD-4AFEAD33E0DD
p:direct-normalized/P6366 <https://makg.org/entity/65887513>
wdt:P12385 "equacio-de-gibbs-duhem"
wdt:P1296 "0029867"
wdt:P138 Josiah Willard Gibbs
Pierre Duhem
wdt:P1417 "science/Gibbs-Duhem-equation"
wdt:P2534 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">[</mo><mi>&#x03BC;</mi><mo stretchy="false">]</mo></mrow></mrow></msub><mo stretchy="false">=</mo><munder><mo stretchy="false">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></munder><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><msub><mi>&#x03BC;</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">+</mo><mi>S</mi><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>T</mi><mo stretchy="false">&#x2212;</mo><mi>V</mi><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>p</mi><mo stretchy="false">=</mo><mn>0</mn></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><munder><mo stretchy="false">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></munder><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><msub><mi>&#x03BC;</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><mo stretchy="false">&#x2212;</mo><mi>S</mi><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>T</mi><mo stretchy="false">+</mo><mi>V</mi><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>p</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P31 equation
physical theory
wdt:P3222 "gibbs-duhems-ekvation"
wdt:P6104 WikiProject Mathematics
wdt:P6366 "65887513"
wdt:P646 "/m/027njgy"
wdt:P7235 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>&#x03BC;</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>S</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>T</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>V</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>p</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>G</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">[</mo><mi>&#x03BC;</mi><mo stretchy="false">]</mo></mrow></mrow></msub></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P7305 "3905305"
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