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HEMISKI Zbirka re{eni zada~i REAKTORI 3

HEMISKI Zbirka re{eni zada~i REAKTORI 3

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potoa numeri~kite v<strong>re</strong>dnosti na brzinskite konstanti na 2400 K,<br />

214<br />

14<br />

k1(<br />

2400)<br />

9 10<br />

exp( 135000<br />

/( 1,<br />

9872 2400))<br />

458,<br />

177<br />

13<br />

k2<br />

( 2400)<br />

4,<br />

110<br />

exp( 91600<br />

/( 1,<br />

9872 2400))<br />

186902<br />

i na vleznata molska koncentracija na kislorodot,<br />

pBo<br />

yBoPo<br />

CBo ;<br />

RTo<br />

RTo<br />

0, 031<br />

atm<br />

7<br />

3<br />

C Bo <br />

1,<br />

523 10<br />

( mol/cm ).<br />

3<br />

82,<br />

05 (cm atm)/(mol K) 2400 K<br />

Brzinskiot izraz (2) go kombinirame so podatocite od<br />

stehiometriskata tablica i p<strong>re</strong>smetanite numeri~ki v<strong>re</strong>dnosti:<br />

1,<br />

5<br />

rB ) CBo<br />

0,<br />

5<br />

2 0,<br />

5<br />

229, 1(<br />

26,<br />

33 X )( 1<br />

X ) 373804X<br />

( 1<br />

) <br />

( X<br />

. (3)<br />

So brzinskiot izraz (3) ja p<strong>re</strong>smetuvame ramnote`nata<br />

konverzija koristej}i go uslovot (–rB) = 0. Na temperatura od<br />

2400 K ramnote`nata konverzija ima v<strong>re</strong>dnost X * = 0,1189433.<br />

a) Sega t<strong>re</strong>ba da se p<strong>re</strong>smeta volumenskoto v<strong>re</strong>me za koe izleznata<br />

koncentracija na sozdad<strong>eni</strong>ot azotmonoksid }e iznesuva:<br />

*<br />

X izlez X 0,<br />

95<br />

X 0,<br />

95<br />

0,<br />

1189433 0,<br />

113;<br />

CNO<br />

CC<br />

7<br />

8<br />

3<br />

2CBo<br />

X 2 1,<br />

52310<br />

0,<br />

113 3,<br />

44 10<br />

mol/cm .<br />

Ravenkata za dizajn na PFR p<strong>re</strong>ku volumenskoto v<strong>re</strong>me e<br />

ravenkata (59),<br />

X<br />

dX<br />

CBo<br />

( r<br />

0 B )<br />

~ija dife<strong>re</strong>ncijalna forma e<br />

, (4)<br />

dX (r<br />

)<br />

. (5)<br />

d<br />

C<br />

Ravenkata (4) ili (5) se <strong>re</strong>{ava vo kombinacija so brzinskiot<br />

izraz (3). Ako se op<strong>re</strong>delime za solver za dife<strong>re</strong>ncijalni<br />

ravenki, na primer od POLYMATH, zna~i deka }e ja <strong>re</strong>{avame<br />

ravenkata (5). Re{<strong>eni</strong>eto e slednoto:<br />

B<br />

Bo

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