Page 111 - Math Grade 12 (Advance)

PROEUS DARA
3.2. U~tnsg1lJUf9J1
I
m't:HnHn9 n tni ~f:i rnt9u r:ii m tf:l15 s ffiu'Ulumsm1H9 ~Un ~ ~i1m~'Ulu n'9 ntlls
"' n t u .v
u
~ c/ II f:) Ql II ~ ~ f:::l Q:l ~ I
!1HH1.flffltl'e rut1j r.l5ffiu'Ult5Lf1S 'tJbS t9"Ht5 tmb run n tr:ll ru n tUn rulffltl 9 ntSl g13 SUndl n
1 <n u u 1 n t <n

Hmnm n smsan tllimm Humo rum ~s w&; Mffltl m fl516113ru tutlltll1fn t9"lsb ti rn
'-'I '-' I I In "!.1
U I
1j n~ nb M61 rulffltl ~ 61Sb M61 rulffltlm W'edH:ll sd~ m g £ Sl g '1 nnu ts Htflit:ll nnliunm R
I tn " 1 lfl SWct 1 ......., r.J' e.J'
I
jtJfJmns &~rnmsunun.nrun:tlru : ddT= -k(T-M) ftlrn T dlM61rulffltl~n, M
'i': 1 t l<n "!
mid&; ru1 m tl'edH:1u d~ m , k m t'eR" ru1 tutlltllUn s b t m ~ ru: t n rn '1
1 In !Wet 1 '-' I
or o Cl C$ ~ Ql Qt ClJ
!Jtnmtn.n: stlnttlrntR&9tJShtrnnmmtluHnstllStunrulffltl 12ooc '1 tf:lrun
1 ....., L.n 1 <n
0 I l ~ C» C;» QJ
stsg'entllnnbusu-erutllstUnrulmn 28°C '1 tR"tmmm 3 Sl9tumru-entunrulffltl
ct ~ 1J t lJ1 ........, 1 lfl
1
smRtsi 8ooc '1
""

n. Humorum~swnMmn~ - ddT
I I lJl t
-=» QJ 0 Q C»
ttll ruHumo rum ts g tutlltllunsb ti rntl n~ nb tUn Mmn s sb tun ru1mn
1 1 In 1 In
u1 tmrntUd~ m tSl g tr:1ms tu-i§m~~ tti~~ ftu1rn :
1 "" u
- dT = k(T-M) ffl'er.l5n2rult~'e T(O) = T = 120oc
0
dt s s
t tl1 ru Mnrulffltl M = 28°C tSl g tf:llflS
1 In
dT
- = -k(T 28) , T(O) = 120 '1
dt
2. M61rultflnsnh2M:&nrn t
1 In et
1
dT dT
dt = -k(T- 28) u_ T _ = -kdt
28
In!T-281 = -kt+c
T-28 = ±e kt+c = Ae-kr (A= ±ec)

-kt
T(t) = Ae + 28

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