Institutt for petroleumsteknologi og anvendt geofysikk - NTNU
Institutt for petroleumsteknologi og anvendt geofysikk - NTNU
Institutt for petroleumsteknologi og anvendt geofysikk - NTNU
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⇒ W<br />
=<br />
p v<br />
1<br />
1<br />
⎡<br />
k ⎢⎛<br />
p<br />
⎢<br />
⎜<br />
k −1<br />
⎢<br />
⎝ p<br />
⎣<br />
2<br />
1<br />
⎞<br />
⎟<br />
⎠<br />
k −1<br />
k<br />
⎤<br />
−1<br />
⎥<br />
⎥<br />
⎥⎦<br />
OK <strong>for</strong> k ≠ 1<br />
Units in Adiabatic Compression<br />
W<br />
=<br />
2<br />
∫<br />
1<br />
[ m ]<br />
3 /<br />
vdp, v mol<br />
W<br />
[ J / mol]<br />
=<br />
p v<br />
1<br />
1<br />
⎡<br />
k ⎢⎛<br />
p<br />
⎢<br />
⎜<br />
k −1<br />
⎢<br />
⎝ p<br />
⎣<br />
2<br />
1<br />
⎞<br />
⎟<br />
⎠<br />
k −1<br />
k<br />
⎤<br />
−1⎥<br />
⎥<br />
⎥⎦<br />
1 ⎡ J kg mol ⎤<br />
W × m ×<br />
= =<br />
M<br />
⎢<br />
mol s kg<br />
⎥ /<br />
⎣ ⎦<br />
[ J s] [ W ]<br />
W = WORK,<br />
[W] = [Watt]<br />
Real gas law (Ideal gas law with z added)<br />
V<br />
pV = znRT,<br />
p = zRT<br />
n<br />
pv = zRT<br />
We note that V is volume and v is specific volume.<br />
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