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Display information for equation id:math.2530.47 on revision:2530
* Page found: Chemische Reaktionen (eq math.2530.47)
(force rerendering)Occurrences on the following pages:
Hash: 7e870826108f63595634a8f6ff24c7a8
TeX (original user input):
\begin{align}
& {{\left( \frac{\partial {{g}_{i}}(T,p))}{\partial T} \right)}_{p}}=-{{s}_{i}} \\
& {{h}_{i}}={{g}_{i}}+T{{s}_{i}} \\
& \Rightarrow \frac{d}{dT}\left( \frac{{{\Phi }_{i}}(T)}{T} \right)=-\frac{{{h}_{i}}(T)}{{{T}^{2}}} \\
\end{align}
TeX (checked):
{\begin{aligned}&{{\left({\frac {\partial {{g}_{i}}(T,p))}{\partial T}}\right)}_{p}}=-{{s}_{i}}\\&{{h}_{i}}={{g}_{i}}+T{{s}_{i}}\\&\Rightarrow {\frac {d}{dT}}\left({\frac {{{\Phi }_{i}}(T)}{T}}\right)=-{\frac {{{h}_{i}}(T)}{{T}^{2}}}\\\end{aligned}}
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MathML (2.445 KB / 477 B) :
<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="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><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></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>T</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub><mo>=</mo><mo>−</mo><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>h</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>=</mo><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>+</mo><mi>T</mi><msub><mi>s</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>T</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi mathvariant="normal">Φ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>T</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>h</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>T</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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