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Display information for equation id:math.2528.24 on revision:2528

* Page found: Mehrkomponentige ideale Gase (eq math.2528.24)

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Hash: c176f91f97648542a8620b4e6b4840d4

TeX (original user input):

\begin{align}

& {{{\tilde{\mu }}}_{i}}(T,p,{{x}_{i}})={{\Phi }_{i}}(T)+RT\ln p+RT\ln {{x}_{i}} \\

& \Rightarrow {{\Phi }_{i}}(T)+RT\ln p={{g}_{i}}(T,p) \\

& \Rightarrow {{{\tilde{\mu }}}_{i}}(T,p,{{x}_{i}})={{g}_{i}}(T,p)+RT\ln {{x}_{i}} \\

\end{align}

TeX (checked):

{\begin{aligned}&{{\tilde {\mu }}_{i}}(T,p,{{x}_{i}})={{\Phi }_{i}}(T)+RT\ln p+RT\ln {{x}_{i}}\\&\Rightarrow {{\Phi }_{i}}(T)+RT\ln p={{g}_{i}}(T,p)\\&\Rightarrow {{\tilde {\mu }}_{i}}(T,p,{{x}_{i}})={{g}_{i}}(T,p)+RT\ln {{x}_{i}}\\\end{aligned}}

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MathML (experimentell; keine Bilder) rendering

MathML (2.237 KB / 404 B) :

μ~i(T,p,xi)=Φi(T)+RTlnp+RTlnxiΦi(T)+RTlnp=gi(T,p)μ~i(T,p,xi)=gi(T,p)+RTlnxi
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03BC;</mi><mo>~</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>T</mi><mo>,</mo><mi>p</mi><mo>,</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">)</mo><mo>=</mo><msub><mi mathvariant="normal">&#x03A6;</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>T</mi><mo stretchy="false">)</mo><mo>+</mo><mi>R</mi><mi>T</mi><mi>ln</mi><mo>&#x2061;</mo><mi>p</mi><mo>+</mo><mi>R</mi><mi>T</mi><mi>ln</mi><mo>&#x2061;</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><mo>&#x21D2;</mo><msub><mi mathvariant="normal">&#x03A6;</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>T</mi><mo stretchy="false">)</mo><mo>+</mo><mi>R</mi><mi>T</mi><mi>ln</mi><mo>&#x2061;</mo><mi>p</mi><mo>=</mo><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>T</mi><mo>,</mo><mi>p</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd></mtd><mtd><mo>&#x21D2;</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03BC;</mi><mo>~</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>T</mi><mo>,</mo><mi>p</mi><mo>,</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">)</mo><mo>=</mo><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>T</mi><mo>,</mo><mi>p</mi><mo stretchy="false">)</mo><mo>+</mo><mi>R</mi><mi>T</mi><mi>ln</mi><mo>&#x2061;</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Identifiers

  • μ~i
  • T
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  • xi
  • Φi
  • T
  • R
  • T
  • p
  • R
  • T
  • xi
  • Φi
  • T
  • R
  • T
  • p
  • gi
  • T
  • p
  • μ~i
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  • p
  • xi
  • gi
  • T
  • p
  • R
  • T
  • xi

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