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Display information for equation id:math.2527.24 on revision:2527

* Page found: Mehrkomponentige ideale Gase (eq math.2527.24)

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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 (2.214 KB / 361 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 xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mover><mi>μ</mi><mo>~</mo></mover><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 stretchy="false">=</mo><msub><mi>Φ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>T</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>R</mi><mi>T</mi><mi>ln</mi><mo>&#x2061;</mo><mi>p</mi><mo stretchy="false">+</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 class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false"></mo><msub><mi>Φ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>T</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>R</mi><mi>T</mi><mi>ln</mi><mo>&#x2061;</mo><mi>p</mi><mo stretchy="false">=</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 class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false"></mo><msub><mover><mi>μ</mi><mo>~</mo></mover><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 stretchy="false">=</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 stretchy="false">+</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 class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

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Identifiers

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

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