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Display information for equation id:math.2508.76 on revision:2508
* Page found: Reale Gase (eq math.2508.76)
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Hash: 2604f03bf91b132a1c7708e20eb87da3
TeX (original user input):
\begin{align}
& {{\left( \frac{\partial p}{\partial v} \right)}_{T}}=-\frac{RT}{{{\left( v-b \right)}^{2}}}+\frac{2a}{{{v}^{3}}}=!=0 \\
& {{\left( \frac{{{\partial }^{2}}p}{\partial {{v}^{2}}} \right)}_{T}}=\frac{2RT}{{{\left( v-b \right)}^{3}}}-\frac{6a}{{{v}^{4}}}=!=0 \\
\end{align}
TeX (checked):
{\begin{aligned}&{{\left({\frac {\partial p}{\partial v}}\right)}_{T}}=-{\frac {RT}{{\left(v-b\right)}^{2}}}+{\frac {2a}{{v}^{3}}}=!=0\\&{{\left({\frac {{{\partial }^{2}}p}{\partial {{v}^{2}}}}\right)}_{T}}={\frac {2RT}{{\left(v-b\right)}^{3}}}-{\frac {6a}{{v}^{4}}}=!=0\\\end{aligned}}
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MathML (2.83 KB / 431 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><mi>p</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>v</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msub><mo>=</mo><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>R</mi><mi>T</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>v</mi><mo>−</mo><mi>b</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>a</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow></mfrac></mrow><mo>=</mo><mi>!</mi><mo>=</mo><mn>0</mn></mtd></mtr><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"><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>p</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msup><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>R</mi><mi>T</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>v</mi><mo>−</mo><mi>b</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow></mfrac></mrow><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>6</mn><mi>a</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></msup></mrow></mfrac></mrow><mo>=</mo><mi>!</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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