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Tehnička termodinamika - Kemijsko-tehnološki fakultet

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__________________________________________________________________Uvod<br />

Rješenje<br />

Iz jednadžbe stanja za 1 kg plina slijedi<br />

p ⋅ v = R ⋅T<br />

ili<br />

R =<br />

2<br />

p ⋅ v p 1.013<br />

⋅10<br />

−1<br />

−1<br />

= =<br />

= 0.287 kJ kg K<br />

T T ⋅ ρ 273.15 ⋅1.293<br />

R<br />

R =<br />

M<br />

⇒<br />

M<br />

R<br />

=<br />

R<br />

=<br />

8.314<br />

−1<br />

= 29.0 kg kmol<br />

0.287<br />

Primjer 1.4.<br />

U plinometru se nalaze 24 m 3 n plina temperature 10 °C. Plin je pod nadtlakom<br />

od 4.905 bar pri barometarskom tlaku od 100.508 kPa.<br />

a) Koliko<br />

3<br />

m sadrži plinometar?<br />

b) Pod kojim će se nadtlakom nalaziti plin ako se na suncu zagrije na 30 °C?<br />

Rješenje<br />

a)<br />

p<br />

a<br />

= pb<br />

+ pm<br />

= 490 .5 + 100.508 = 591.008 kPa<br />

1m<br />

3 n =<br />

1<br />

22.414<br />

kmol<br />

n =<br />

24<br />

22.414<br />

= 1.07 kmol<br />

p ⋅V<br />

= n ⋅ R ⋅T<br />

⇒<br />

V<br />

=<br />

n ⋅ R ⋅T<br />

p<br />

1.07 kmol ⋅8.314 kJ kmol<br />

=<br />

591.008 kPa<br />

−1<br />

K<br />

−1<br />

⋅ 283 K<br />

= 4.26 m<br />

3<br />

33

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