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Display information for equation id:math.2528.10 on revision:2528

* Page found: Mehrkomponentige ideale Gase (eq math.2528.10)

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TeX (original user input): 

\begin{align}

& \Delta S={{n}_{1}}\left( {{s}_{1}}\acute{\ }-{{s}_{1}} \right)+{{n}_{2}}\left( {{s}_{2}}\acute{\ }-{{s}_{2}} \right)={{n}_{1}}R\ln \frac{V}{{{V}_{1}}}+{{n}_{2}}R\ln \frac{V}{{{V}_{2}}} \\

& \frac{V}{{{V}_{i}}}>1 \\

& \Rightarrow \Delta S>0 \\

\end{align}

TeX (checked): 

{\begin{aligned}&\Delta S={{n}_{1}}\left({{s}_{1}}{\acute {\ }}-{{s}_{1}}\right)+{{n}_{2}}\left({{s}_{2}}{\acute {\ }}-{{s}_{2}}\right)={{n}_{1}}R\ln {\frac {V}{{V}_{1}}}+{{n}_{2}}R\ln {\frac {V}{{V}_{2}}}\\&{\frac {V}{{V}_{i}}}>1\\&\Rightarrow \Delta S>0\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (24.373 KB / 2.771 KB) :

Δ ⁢ S = n 1 ⁢ ( s 1 ⁢ ´ - s 1 ) + n 2 ⁢ ( s 2 ⁢ ´ - s 2 ) = n 1 ⁢ R ⁢ ln ⁡ V V 1 + n 2 ⁢ R ⁢ ln ⁡ V V 2 V V i > 1 ⇒ Δ ⁢ S > 0 absent Δ 𝑆 subscript 𝑛 1 subscript 𝑠 1 ´ absent subscript 𝑠 1 subscript 𝑛 2 subscript 𝑠 2 ´ absent subscript 𝑠 2 subscript 𝑛 1 𝑅 𝑉 subscript 𝑉 1 subscript 𝑛 2 𝑅 𝑉 subscript 𝑉 2 absent 𝑉 subscript 𝑉 𝑖 1 absent ⇒ absent Δ 𝑆 0 {\displaystyle{\displaystyle\begin{aligned} \par&\displaystyle\Delta S={{n}_{1% }}\left({{s}_{1}}\acute{\ }-{{s}_{1}}\right)+{{n}_{2}}\left({{s}_{2}}\acute{\ % }-{{s}_{2}}\right)={{n}_{1}}R\ln\frac{V}{{{V}_{1}}}+{{n}_{2}}R\ln\frac{V}{{{V}% _{2}}}\\ \par&\displaystyle\frac{V}{{{V}_{i}}}>1\\ \par&\displaystyle\Rightarrow\Delta S>0\\ \par\end{aligned}}}

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MathML (2.475 KB / 486 B) :

ΔS=n1(s1´−s1)+n2(s2´−s2)=n1Rln⁡VV1+n2Rln⁡VV2VVi>1⇒ΔS>0

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Calculated based on the variables occurring on the entire Mehrkomponentige ideale Gase page

Identifiers

  • Δ
  • S
  • n1
  • s1
  • ´
  • s1
  • n2
  • s2
  • ´
  • s2
  • n1
  • R
  • V
  • V1
  • n2
  • R
  • V
  • V2
  • V
  • Vi
  • Δ
  • S

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Abgerufen von „https://wiki.physikerwelt.de/wiki/Spezial:Formelinformation“