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Corrections équations adiabatiques

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Guyot 2021-05-02 22:00:30 +02:00
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9 changed files with 32340 additions and 37152 deletions
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46.934 75.57 47.055 75.703 c 47.18 75.836 47.168 76.043 47.039 76.164 c
46.906 76.289 46.699 76.281 46.574 76.148 c S Q
q 1 0 0 1 0 0 cm
49.363 82.059 m 49.242 81.926 49.25 81.719 49.387 81.594 c 49.52 81.473
49.727 81.484 49.848 81.617 c 49.969 81.75 49.961 81.957 49.828 82.078
c 49.695 82.203 49.488 82.195 49.367 82.062 c S Q
q 1 0 0 1 0 0 cm
56.262 83.535 m 56.141 83.402 56.148 83.195 56.285 83.074 c 56.418 82.953
56.625 82.961 56.746 83.094 c 56.867 83.227 56.859 83.434 56.727 83.559
c 56.598 83.68 56.391 83.672 56.266 83.543 c S Q
q 1 0 0 1 0 0 cm
60.859 68.098 m 60.738 67.961 60.75 67.754 60.883 67.633 c 61.016 67.512
61.223 67.52 61.348 67.656 c 61.469 67.789 61.461 67.996 61.328 68.117
c 61.195 68.242 60.988 68.234 60.863 68.102 c S Q
q 1 0 0 1 0 0 cm
57.902 76.145 m 57.781 76.012 57.793 75.805 57.926 75.684 c 58.059 75.562
58.266 75.57 58.391 75.703 c 58.512 75.836 58.504 76.043 58.371 76.164
c 58.238 76.289 58.031 76.281 57.906 76.148 c S Q
q 1 0 0 1 0 0 cm
75.148 68.426 m 75.031 68.289 75.039 68.082 75.172 67.961 c 75.309 67.84
75.516 67.852 75.637 67.984 c 75.758 68.117 75.75 68.324 75.617 68.445
c 75.484 68.57 75.277 68.562 75.156 68.43 c S Q
q 1 0 0 1 0 0 cm
69.402 78.281 m 69.281 78.145 69.289 77.938 69.426 77.816 c 69.559 77.695
69.766 77.707 69.887 77.84 c 70.008 77.973 70 78.18 69.867 78.301 c 69.738
78.426 69.531 78.418 69.406 78.285 c S Q
q 1 0 0 1 0 0 cm
67.43 85.672 m 67.309 85.539 67.32 85.332 67.453 85.211 c 67.586 85.086
67.793 85.098 67.918 85.23 c 68.039 85.363 68.031 85.57 67.898 85.691 c
67.766 85.816 67.559 85.809 67.434 85.676 c S Q
q 1 0 0 1 0 0 cm
75.645 77.293 m 75.523 77.16 75.531 76.953 75.668 76.832 c 75.801 76.711
76.008 76.719 76.129 76.852 c 76.25 76.984 76.242 77.191 76.109 77.316
c 75.977 77.438 75.773 77.434 75.648 77.301 c S Q
q 1 0 0 1 0 0 cm
68.086 69.082 m 67.965 68.949 67.977 68.742 68.109 68.617 c 68.246 68.496
68.449 68.508 68.574 68.641 c 68.695 68.773 68.688 68.98 68.555 69.102
c 68.422 69.227 68.215 69.219 68.094 69.086 c S Q
q 1 0 0 1 0 0 cm
82.215 75.16 m 82.094 75.023 82.102 74.816 82.238 74.695 c 82.371 74.574
82.578 74.586 82.699 74.719 c 82.82 74.852 82.812 75.059 82.68 75.18 c
82.547 75.305 82.344 75.297 82.219 75.164 c S Q
q 1 0 0 1 0 0 cm
84.02 66.125 m 83.898 65.992 83.91 65.785 84.043 65.664 c 84.176 65.539
84.383 65.551 84.508 65.684 c 84.629 65.816 84.621 66.023 84.488 66.145
c 84.355 66.27 84.148 66.262 84.023 66.129 c S Q
q 1 0 0 1 0 0 cm
77.449 86.164 m 77.328 86.031 77.34 85.824 77.473 85.703 c 77.605 85.582
77.812 85.59 77.938 85.723 c 78.059 85.855 78.051 86.062 77.918 86.188
c 77.785 86.309 77.578 86.301 77.453 86.168 c S Q
q 1 0 0 1 0 0 cm
83.527 81.73 m 83.406 81.594 83.418 81.387 83.551 81.266 c 83.684 81.145
83.891 81.156 84.012 81.289 c 84.137 81.422 84.129 81.629 83.996 81.75
c 83.863 81.875 83.656 81.867 83.531 81.734 c S Q
q 1 0 0 1 0 0 cm
38.027 83.699 m 37.906 83.566 37.918 83.359 38.051 83.238 c 38.184 83.117
38.391 83.125 38.516 83.258 c 38.637 83.391 38.629 83.598 38.496 83.723
c 38.363 83.844 38.156 83.836 38.031 83.707 c S Q
q 1 0 0 1 0 0 cm
44.926 86 m 44.805 85.867 44.816 85.66 44.949 85.539 c 45.082 85.418 45.289
85.426 45.414 85.559 c 45.535 85.691 45.527 85.898 45.395 86.02 c 45.262
86.145 45.055 86.137 44.93 86.004 c S Q
q 1 0 0 1 0 0 cm
62.832 79.266 m 62.711 79.133 62.719 78.926 62.855 78.805 c 62.988 78.68
63.195 78.691 63.316 78.824 c 63.438 78.957 63.43 79.164 63.297 79.285
c 63.168 79.41 62.961 79.402 62.836 79.27 c S Q
BT
8 0 0 -8 2.72253 6.078125 Tm
/f-0-0 1 Tf
[(Etape4 )-3(: isobar)19(e)]TJ
ET
Q Q
showpage
%%Trailer
end
%%EOF

4
ThermodynamiqueOS/ThermodynamiqueOS.tex
View File

@ -852,7 +852,7 @@ et en remplaçant la constante \(c\) par l'une ou l'autre de ses valeurs~:
\begin{align*}
A&=\frac{1}{1-\gamma}\cdot [c\cdot V_f^{-\gamma+1}-c\cdot V_i^{-\gamma+1}]\\
&=\frac{1}{1-\gamma}\cdot [p_f\cdot V_f^\gamma\cdot V_f^{-\gamma+1}-p_i\cdot V_i^\gamma\cdot V_i^{-\gamma+1}]\\
&=\frac{1}{1-\gamma}\cdot [p_f\cdot V_f-p_i\cdot V_i]=\frac{1}{\gamma-1}\cdot \Delta(p\cdot V)
&=\frac{1}{1-\gamma}\cdot [p_f\cdot V_f-p_i\cdot V_i]=\frac{1}{1-\gamma}\cdot \Delta(p\cdot V)
\end{align*}
Et ainsi, finalement, on peut écrire le travail sous la forme~:
\begin{equation}\label{travailadiabatique}
@ -872,7 +872,7 @@ Transformation adiabatique
\begin{align}
\Delta U&=\frac{i}{2}\cdot n\cdot R\cdot \Delta T\\
&=\frac{i}{2}\cdot \Delta (p\cdot V)\\
A&=-\Delta U=\frac{1}{\gamma-1}\cdot \Delta(p\cdot V)\\
A&=-\Delta U=\frac{1}{1-\gamma}\cdot \Delta(p\cdot V)\\
Q&=0\\
&p\cdot V^\gamma=const\\
&T\cdot V^{\gamma-1}=const\\\label{tvadiabat}