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Display information for equation id:math.2474.12 on revision:2474
* Page found: Exergie (eq math.2474.12)
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Hash: 6f56a322ee105630e301e91332a2d022
TeX (original user input):
\begin{align}
& Q=-{{T}^{0}}\Delta S* \\
& \Rightarrow \Delta U*=-W-Q=-{{p}^{0}}\Delta V*+{{T}^{0}}\Delta S* \\
& \Rightarrow \Delta S*=\frac{1}{{{T}^{0}}}\left( \Delta U*+{{p}^{0}}\Delta V* \right)=\frac{1}{{{T}^{0}}}\left( -\Delta U-\tilde{W}-{{p}^{0}}\Delta V \right) \\
\end{align}
TeX (checked):
{\begin{aligned}&Q=-{{T}^{0}}\Delta S*\\&\Rightarrow \Delta U*=-W-Q=-{{p}^{0}}\Delta V*+{{T}^{0}}\Delta S*\\&\Rightarrow \Delta S*={\frac {1}{{T}^{0}}}\left(\Delta U*+{{p}^{0}}\Delta V*\right)={\frac {1}{{T}^{0}}}\left(-\Delta U-{\tilde {W}}-{{p}^{0}}\Delta V\right)\\\end{aligned}}
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MathML (2.401 KB / 411 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"><mi>Q</mi><mo stretchy="false">=</mo><mo stretchy="false">−</mo><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mi>Δ</mi><mi>S</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><mi>Δ</mi><mi>U</mi><mo stretchy="false">∗</mo><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mi>W</mi><mo stretchy="false">−</mo><mi>Q</mi><mo stretchy="false">=</mo><mo stretchy="false">−</mo><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mi>Δ</mi><mi>V</mi><mo stretchy="false">∗</mo><mo stretchy="false">+</mo><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mi>Δ</mi><mi>S</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><mi>Δ</mi><mi>S</mi><mo stretchy="false">∗</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>Δ</mi><mi>U</mi><mo stretchy="false">∗</mo><mo stretchy="false">+</mo><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mi>Δ</mi><mi>V</mi><mo stretchy="false">∗</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo stretchy="false">−</mo><mi>Δ</mi><mi>U</mi><mo stretchy="false">−</mo><mover><mi>W</mi><mo>~</mo></mover><mo stretchy="false">−</mo><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mi>Δ</mi><mi>V</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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