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HEMISKI Zbirka re{eni zada~i REAKTORI 3

HEMISKI Zbirka re{eni zada~i REAKTORI 3

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Kako {to se gleda od tabelata, <strong>re</strong>{<strong>eni</strong>eto, odnosno vkupnoto<br />

v<strong>re</strong>me na zadr`uvawe vo <strong>re</strong>aktorot od t vkupno = 1 s, se nao|a<br />

pome|u v<strong>re</strong>dnostite 50 i 60 za izleznata masena koncentracija<br />

na <strong>re</strong>aktantot i 720,53 K i 709,77 K za izleznata temperatura.<br />

Sega se pravat p<strong>re</strong>smetki vo tesniot interval. Izedna~uvaweto<br />

na sumata od kolonata 8 so t vkupno = 1 s se dobiva za slednive<br />

v<strong>re</strong>dnosti na koncentracijata i temperaturata:<br />

226<br />

t A,<br />

tvkupno<br />

1<br />

s : izlez 56 g/m ; Tizlez<br />

716K<br />

443 C.<br />

Ako koristime solver za dife<strong>re</strong>ncijalni ravenki, na primer<br />

od POLYMATH, toga{ se <strong>re</strong>{ava dife<strong>re</strong>ncijalniot oblik na<br />

ravenkata (1) i ravenkata (4). Sledniov <strong>re</strong>zultat se dobiva vedna{:<br />

POLYMATH Results<br />

Calculated values of the DEQ variables<br />

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

t 0 0 1 1<br />

roA 132 56.108912 132 56.108912<br />

To 798 798 798 798<br />

T 798 716.34119 798 716.34119<br />

k 8.6798421 0.2815637 8.6798421 0.2815637<br />

rA 1145.7392 15.798232 1145.7392 15.798232<br />

ODE Report (RKF45)<br />

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

[1] d(roA)/d(t) = -rA<br />

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

[1] To = 798<br />

[2] T = To-1.076*(132-roA)<br />

[3] k = (10^14)*exp(-24000/T)<br />

[4] rA = k*roA<br />

Konstatacija e deka <strong>re</strong>{<strong>eni</strong>jata dobi<strong>eni</strong> so integracionata<br />

formula (5) i so solverot se <strong>re</strong>~isi isti! No dali }e be{e<br />

taka so primena na Simpson-ovoto ednot<strong>re</strong>tinsko pravilo?<br />

b) P<strong>re</strong>smetkata na adijabatska rabota na <strong>re</strong>aktorot bez<br />

prisustvo na inerti, vo odnos na slu~ajot so inerti, }e se razlikuva<br />

samo vo odnos na toplinskiot bilans.<br />

3<br />

o

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