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Display information for equation id:math.2450.14 on revision:2450
* Page found: Der Carnotsche Kreisprozess (eq math.2450.14)
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TeX (original user input):
\begin{align}
& \Rightarrow {{\eta }_{K}}=\frac{{{Q}_{1}}}{W}=-\frac{{{Q}_{2}}}{W}\frac{{{T}_{1}}}{{{T}_{2}}}=\frac{1}{\eta }\frac{{{T}_{1}}}{{{T}_{2}}}=\frac{{{T}_{1}}}{{{T}_{2}}-{{T}_{1}}}={{\eta }_{W}}-1 \\
& {{\eta }_{K}}>1f\ddot{u}r{{T}_{1}}>\frac{1}{2}{{T}_{2}} \\
& {{\eta }_{K}}\to 0f\ddot{u}r{{T}_{1}}\to 0 \\
\end{align}
TeX (checked):
{\begin{aligned}&\Rightarrow {{\eta }_{K}}={\frac {{Q}_{1}}{W}}=-{\frac {{Q}_{2}}{W}}{\frac {{T}_{1}}{{T}_{2}}}={\frac {1}{\eta }}{\frac {{T}_{1}}{{T}_{2}}}={\frac {{T}_{1}}{{{T}_{2}}-{{T}_{1}}}}={{\eta }_{W}}-1\\&{{\eta }_{K}}>1f{\ddot {u}}r{{T}_{1}}>{\frac {1}{2}}{{T}_{2}}\\&{{\eta }_{K}}\to 0f{\ddot {u}}r{{T}_{1}}\to 0\\\end{aligned}}
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<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><mo>⇒</mo><msub><mi>η</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>Q</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mi>W</mi></mrow></mfrac></mrow><mo>=</mo><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>Q</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mi>W</mi></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>η</mi></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mrow></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>−</mo><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mrow></mrow></mfrac></mrow><mo>=</mo><msub><mi>η</mi><mrow data-mjx-texclass="ORD"><mi>W</mi></mrow></msub><mo>−</mo><mn>1</mn></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>η</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub><mo>></mo><mn>1</mn><mi>f</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>u</mi><mo>¨</mo></mover></mrow></mrow><mi>r</mi><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>></mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>η</mi><mrow data-mjx-texclass="ORD"><mi>K</mi></mrow></msub><mo accent="false">→</mo><mn>0</mn><mi>f</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>u</mi><mo>¨</mo></mover></mrow></mrow><mi>r</mi><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo accent="false">→</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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