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Display information for equation id:math.2497.25 on revision:2497
* Page found: Thermodynamische Stabilität (eq math.2497.25)
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Hash: fd8d77eaa3ac588c83ca194773e694ff
TeX (original user input):
\begin{align}
& {{C}_{p}}:=T{{\left( \frac{\partial S}{\partial T} \right)}_{p}}\ge 0 \\
& \delta {{Q}_{r}}=TdS\Rightarrow \delta {{Q}_{r}}={{C}_{p}}dT \\
\end{align}
TeX (checked):
{\begin{aligned}&{{C}_{p}}:=T{{\left({\frac {\partial S}{\partial T}}\right)}_{p}}\geq 0\\&\delta {{Q}_{r}}=TdS\Rightarrow \delta {{Q}_{r}}={{C}_{p}}dT\\\end{aligned}}
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MathML (1.368 KB / 376 B) :
<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><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub><mo stretchy="false">:=</mo><mi>T</mi><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><mi>S</mi></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 stretchy="false">≥</mo><mn>0</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>δ</mi><msub><mi>Q</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mo stretchy="false">=</mo><mi>T</mi><mi>d</mi><mi>S</mi><mo stretchy="false">⇒</mo><mi>δ</mi><msub><mi>Q</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mo stretchy="false">=</mo><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub><mi>d</mi><mi>T</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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