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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 />

31

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