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HEMISKI Zbirka re{eni zada~i REAKTORI 3

HEMISKI Zbirka re{eni zada~i REAKTORI 3

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POLYMATH Results<br />

Calculated values of the DEQ variables<br />

^etvrti del. Idealen ceven <strong>re</strong>aktor (PFR)<br />

Variable initial value minimal value maximal value final value<br />

V 0 0 1 1<br />

X 0 0 0.1272604 0.1272604<br />

To 953 953 953 953<br />

FAo 1.31E-04 1.31E-04 1.31E-04 1.31E-04<br />

T 953 883.96325 953 883.96325<br />

CAo 0.0128 0.0128 0.0128 0.0128<br />

k 0.0154871 3.721E-04 0.0154871 3.721E-04<br />

R 1.982E-04 4.091E-06 1.982E-04 4.091E-06<br />

ODE Report (RKF45)<br />

Diffe<strong>re</strong>ntial equations as ente<strong>re</strong>d by the user<br />

[1] d(X)/d(V) = R/FAo<br />

Explicit equations as ente<strong>re</strong>d by the user<br />

[1] To = 953<br />

[2] FAo = 0.000131<br />

[3] T = (To-406*X)/(1+0.1544*X)<br />

[4] CAo = 0.0128<br />

[5] k = 10^((-18963/T)+(2*log(T))+12.130)<br />

[6] R = k*CAo*(1-X)*To/T/(1+0.75*X)<br />

Kako {to se gleda od <strong>re</strong>zultatot, so adijabatska rabota na<br />

<strong>re</strong>aktorot so volumen od 1 m 3 , so vlezna temperatura od 680 o C i<br />

pritisok od 1 atm, izleznite konverzija i temperatura se:<br />

‡ izlezna konverzija, X = 0,127,<br />

‡ izlezna temperatura, T = 884 K (611 o C).<br />

Ako pak se zeme deka odnosot na temperaturite vo izrazot<br />

za molskata koncentracija e edinica i ako toplinskiot bilans<br />

(6) se uprosti na T = To – 406 X, zemaj}i deka 0,15447

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