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Display information for equation id:57 on page id:457

* Page found: Reale Gase (eq 57) (force rerendering)

Occurences on the following pages:

   Reale Gase Eq: 57
TeX (as stored in database):
\begin{align}
 
& 0=dh={{c}_{p}}dT+{{\left( \frac{\partial h}{\partial p} \right)}_{T}}dp \\
 
& dT<0 \\
 
& dp<0 \\
 
& \Rightarrow {{\left( \frac{\partial h}{\partial p} \right)}_{T}}=v-T{{\left( \frac{\partial v}{\partial T} \right)}_{p}}>0 \\
 
& \Rightarrow T<\frac{2a}{Rb} \\
 
\end{align}
MathML (16.276 KB / 2.398 KB) :
0=dh=cpdT+(hp)Tdp0dhsubscriptcpdTsubscripthpTdp\displaystyle 0=dh={{c}_{{p}}}dT+{{\left(\frac{\partial h}{\partial p}\right)}% _{{T}}}dp
dT<0dT0\displaystyle dT<0
dp<0dp0\displaystyle dp<0
(hp)T=v-T(vT)p>0fragmentsnormal-⇒subscriptfragmentsnormal-(hpnormal-)TvTsubscriptfragmentsnormal-(vTnormal-)p0\displaystyle\Rightarrow{{\left(\frac{\partial h}{\partial p}\right)}_{{T}}}=v% -T{{\left(\frac{\partial v}{\partial T}\right)}_{{p}}}>0
T<2aRbfragmentsnormal-⇒T2aRb\displaystyle\Rightarrow T<\frac{2a}{Rb}

SVG (0 B / 8 B) :
PNG (0 B / 8 B) :
Hash : a49fb79eb6e2a052bba2c38b7c1441ad

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Variables

20 results

  • mo < (3/19/1435)
  • mo (2/22/1479)
  • mi h (3/4/2732)
  • mi b (1/49/2737)
  • mi c (1/37/2835)
  • mo > (1/7/3290)
  • mi v (2/211/3347)
  • mi p (6/77/4684)
  • mi a (1/37/5608)
  • mi d (5/65/6342)
  • mo + (1/54/6970)
  • mo (6/133/7333)
  • mo (6/142/9643)
  • mi T (7/142/10589)
  • mo - (1/106/10795)
  • mi R (1/86/14377)
  • mo = (3/144/18270)
  • mo ( (3/169/18822)
  • mo ) (3/169/18905)
  • mo (9/419/59187)

MathML


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<td class="eqpad"/></tr>
<tr id="S0.Ex2" class="equation baseline">
<td class="eqpad"/>
<td colspan="1" class="td right" style="text-align:right;"/>
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<td class="eqpad"/></tr>
<tr id="S0.Ex3" class="equation baseline">
<td class="eqpad"/>
<td colspan="1" class="td right" style="text-align:right;"/>
<td colspan="1" class="td left" style="text-align:left;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\displaystyle dp&lt;0" id="S0.Ex3.m2.1" display="inline" xref="S0.Ex3.m2.1.cmml"><semantics id="S0.Ex3.m2.1a" xref="S0.Ex3.m2.1.cmml"><mrow id="S0.Ex3.m2.1.5" xref="S0.Ex3.m2.1.5.cmml"><mrow id="S0.Ex3.m2.1.5.1" xref="S0.Ex3.m2.1.5.1.cmml"><mi id="S0.Ex3.m2.1.1" xref="S0.Ex3.m2.1.1.cmml">d</mi><mo id="S0.Ex3.m2.1.5.1.1" xref="S0.Ex3.m2.1.5.1.1.cmml"></mo><mi id="S0.Ex3.m2.1.2" xref="S0.Ex3.m2.1.2.cmml">p</mi></mrow><mo id="S0.Ex3.m2.1.3" xref="S0.Ex3.m2.1.3.cmml">&lt;</mo><mn id="S0.Ex3.m2.1.4" xref="S0.Ex3.m2.1.4.cmml">0</mn></mrow><annotation-xml id="S0.Ex3.m2.1.cmml" encoding="MathML-Content" xref="S0.Ex3.m2.1"><apply id="S0.Ex3.m2.1.5.cmml" xref="S0.Ex3.m2.1.5"><lt id="S0.Ex3.m2.1.3.cmml" xref="S0.Ex3.m2.1.3"/><apply id="S0.Ex3.m2.1.5.1.cmml" xref="S0.Ex3.m2.1.5.1"><times id="S0.Ex3.m2.1.5.1.1.cmml" xref="S0.Ex3.m2.1.5.1.1"/><ci id="S0.Ex3.m2.1.1.cmml" xref="S0.Ex3.m2.1.1">d</ci><ci id="S0.Ex3.m2.1.2.cmml" xref="S0.Ex3.m2.1.2">p</ci></apply><cn type="integer" id="S0.Ex3.m2.1.4.cmml" xref="S0.Ex3.m2.1.4">0</cn></apply></annotation-xml><annotation id="S0.Ex3.m2.1b" encoding="application/x-tex" xref="S0.Ex3.m2.1.cmml">\displaystyle dp&lt;0</annotation></semantics></math></td>
<td class="eqpad"/></tr>
<tr id="S0.Ex4" class="equation baseline">
<td class="eqpad"/>
<td colspan="1" class="td right" style="text-align:right;"/>
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xref="S0.Ex4.m2.1.6"/><csymbol cd="unknown" id="S0.Ex4.m2.1c.cmml" xref="S0.Ex4.m2.1">v</csymbol><minus id="S0.Ex4.m2.1.8.cmml" xref="S0.Ex4.m2.1.8"/><csymbol cd="unknown" id="S0.Ex4.m2.1d.cmml" xref="S0.Ex4.m2.1">T</csymbol><apply id="S0.Ex4.m2.1.17.cmml" xref="S0.Ex4.m2.1.17"><csymbol cd="ambiguous" id="S0.Ex4.m2.1.17.1.cmml">subscript</csymbol><cerror id="S0.Ex4.m2.1.17.2.cmml" xref="S0.Ex4.m2.1.17.2"><csymbol cd="ambiguous" id="S0.Ex4.m2.1.17.2a.cmml" xref="S0.Ex4.m2.1.17.2">fragments</csymbol><ci id="S0.Ex4.m2.1.10.cmml" xref="S0.Ex4.m2.1.10">normal-(</ci><apply id="S0.Ex4.m2.1.11.cmml" xref="S0.Ex4.m2.1.11"><divide id="S0.Ex4.m2.1.11.1.cmml"/><apply id="S0.Ex4.m2.1.11.2.cmml" xref="S0.Ex4.m2.1.11.2"><partialdiff id="S0.Ex4.m2.1.11.2.1.cmml" xref="S0.Ex4.m2.1.11.2.1"/><ci id="S0.Ex4.m2.1.11.2.2.cmml" xref="S0.Ex4.m2.1.11.2.2">v</ci></apply><apply id="S0.Ex4.m2.1.11.3.cmml" xref="S0.Ex4.m2.1.11.3"><partialdiff id="S0.Ex4.m2.1.11.3.1.cmml" xref="S0.Ex4.m2.1.11.3.1"/><ci id="S0.Ex4.m2.1.11.3.2.cmml" xref="S0.Ex4.m2.1.11.3.2">T</ci></apply></apply><ci id="S0.Ex4.m2.1.12.cmml" xref="S0.Ex4.m2.1.12">normal-)</ci></cerror><ci id="S0.Ex4.m2.1.13.1.cmml" xref="S0.Ex4.m2.1.13.1">p</ci></apply><gt id="S0.Ex4.m2.1.14.cmml" xref="S0.Ex4.m2.1.14"/><cn type="integer" id="S0.Ex4.m2.1.15.cmml" xref="S0.Ex4.m2.1.15">0</cn></cerror></annotation-xml><annotation id="S0.Ex4.m2.1c" encoding="application/x-tex" xref="S0.Ex4.m2.1.cmml">\displaystyle\Rightarrow{{\left(\frac{\partial h}{\partial p}\right)}_{{T}}}=v%
-T{{\left(\frac{\partial v}{\partial T}\right)}_{{p}}}&gt;0</annotation></semantics></math></td>
<td class="eqpad"/></tr>
<tr id="S0.Ex5" class="equation baseline">
<td class="eqpad"/>
<td colspan="1" class="td right" style="text-align:right;"/>
<td colspan="1" class="td left" style="text-align:left;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\displaystyle\Rightarrow T&lt;\frac{2a}{Rb}" id="S0.Ex5.m2.1" display="inline" xref="S0.Ex5.m2.1.cmml"><semantics id="S0.Ex5.m2.1a" xref="S0.Ex5.m2.1.cmml"><mrow id="S0.Ex5.m2.1b" xref="S0.Ex5.m2.1.cmml"><mo id="S0.Ex5.m2.1.1" xref="S0.Ex5.m2.1.1.cmml"></mo><mi id="S0.Ex5.m2.1.2">T</mi><mo id="S0.Ex5.m2.1.3" xref="S0.Ex5.m2.1.3.cmml">&lt;</mo><mstyle displaystyle="true" id="S0.Ex5.m2.1.4" xref="S0.Ex5.m2.1.4.cmml"><mfrac id="S0.Ex5.m2.1.4a" xref="S0.Ex5.m2.1.4.cmml"><mrow id="S0.Ex5.m2.1.4.2" xref="S0.Ex5.m2.1.4.2.cmml"><mn id="S0.Ex5.m2.1.4.2.1" xref="S0.Ex5.m2.1.4.2.1.cmml">2</mn><mo id="S0.Ex5.m2.1.4.2.3" xref="S0.Ex5.m2.1.4.2.3.cmml"></mo><mi id="S0.Ex5.m2.1.4.2.2" xref="S0.Ex5.m2.1.4.2.2.cmml">a</mi></mrow><mrow id="S0.Ex5.m2.1.4.3" xref="S0.Ex5.m2.1.4.3.cmml"><mi id="S0.Ex5.m2.1.4.3.1" xref="S0.Ex5.m2.1.4.3.1.cmml">R</mi><mo id="S0.Ex5.m2.1.4.3.3" xref="S0.Ex5.m2.1.4.3.3.cmml"></mo><mi id="S0.Ex5.m2.1.4.3.2" xref="S0.Ex5.m2.1.4.3.2.cmml">b</mi></mrow></mfrac></mstyle></mrow><annotation-xml id="S0.Ex5.m2.1.cmml" encoding="MathML-Content" xref="S0.Ex5.m2.1"><cerror id="S0.Ex5.m2.1a.cmml" xref="S0.Ex5.m2.1"><csymbol cd="ambiguous" id="S0.Ex5.m2.1b.cmml" xref="S0.Ex5.m2.1">fragments</csymbol><ci id="S0.Ex5.m2.1.1.cmml" xref="S0.Ex5.m2.1.1">normal-⇒</ci><csymbol cd="unknown" id="S0.Ex5.m2.1c.cmml" xref="S0.Ex5.m2.1">T</csymbol><lt id="S0.Ex5.m2.1.3.cmml" xref="S0.Ex5.m2.1.3"/><apply id="S0.Ex5.m2.1.4.cmml" xref="S0.Ex5.m2.1.4"><divide id="S0.Ex5.m2.1.4.1.cmml"/><apply id="S0.Ex5.m2.1.4.2.cmml" xref="S0.Ex5.m2.1.4.2"><times id="S0.Ex5.m2.1.4.2.3.cmml" xref="S0.Ex5.m2.1.4.2.3"/><cn type="integer" id="S0.Ex5.m2.1.4.2.1.cmml" xref="S0.Ex5.m2.1.4.2.1">2</cn><ci id="S0.Ex5.m2.1.4.2.2.cmml" xref="S0.Ex5.m2.1.4.2.2">a</ci></apply><apply id="S0.Ex5.m2.1.4.3.cmml" xref="S0.Ex5.m2.1.4.3"><times id="S0.Ex5.m2.1.4.3.3.cmml" xref="S0.Ex5.m2.1.4.3.3"/><ci id="S0.Ex5.m2.1.4.3.1.cmml" xref="S0.Ex5.m2.1.4.3.1">R</ci><ci id="S0.Ex5.m2.1.4.3.2.cmml" xref="S0.Ex5.m2.1.4.3.2">b</ci></apply></apply></cerror></annotation-xml><annotation id="S0.Ex5.m2.1c" encoding="application/x-tex" xref="S0.Ex5.m2.1.cmml">\displaystyle\Rightarrow T&lt;\frac{2a}{Rb}</annotation></semantics></math></td>
<td class="eqpad"/></tr>
</table>