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Tehnička termodinamika - Kemijsko-tehnološki fakultet

Tehnička termodinamika - Kemijsko-tehnološki fakultet

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TEHNIČKA TERMODINAMIKA______________________________________________<br />

a) kompresija se odvija izotermno<br />

b) kompresija se odvija adijabatski.<br />

Rješenje<br />

a)<br />

za T = konst.<br />

b)<br />

v2<br />

v1<br />

2<br />

p1<br />

=<br />

p2<br />

v = v<br />

1<br />

T 2 = T 1<br />

v<br />

v<br />

2<br />

1<br />

w<br />

p<br />

p<br />

1<br />

2<br />

R ⋅T1<br />

8.314<br />

⋅ 303<br />

3 −1<br />

v 2 = = = 0.089 m kg<br />

p 2 29 ⋅ 980.7<br />

→ ∆u = 0<br />

p<br />

8.314<br />

98.07<br />

1<br />

−1<br />

1,2<br />

= R ⋅T<br />

ln = ⋅ 303⋅<br />

2.3log = −200 kJ kg<br />

p2<br />

29<br />

980.7<br />

⎛ p<br />

= ⎜<br />

⎝ p<br />

1<br />

2<br />

⎞<br />

⎟<br />

⎠<br />

1<br />

κ<br />

→<br />

v<br />

⎛<br />

p<br />

⎞<br />

1<br />

2 = v1<br />

⎜<br />

⎟ ⎝ p2<br />

⎠<br />

1<br />

κ<br />

1<br />

κ<br />

1<br />

8.314<br />

⋅ 303 ⎛ 1 ⎞1.4<br />

3 −1<br />

R ⋅T1<br />

⎛ p1<br />

⎞<br />

v 2 =<br />

⎜<br />

⎟ = ⋅ ⎜ ⎟ = 0.177 m kg<br />

p1<br />

⎝ p2<br />

⎠ 29 ⋅ 98.07 ⎝10<br />

⎠<br />

T<br />

T<br />

2<br />

1<br />

κ −1<br />

⎛ p2<br />

⎞ κ<br />

= ⎜<br />

⎟<br />

⎝ p 1 ⎠<br />

T<br />

κ −1<br />

0.4<br />

⎛ p2<br />

⎞ κ<br />

303 101.<br />

4<br />

2 = T1<br />

⎜ ⎟ = ⋅ =<br />

⎜<br />

⎝ p<br />

1<br />

⎟<br />

⎠<br />

585 K<br />

100

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