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Unformatted text preview: 5.14 As indicated in the problem statement the
basic differential equations are: dW—JQHdﬂc=0 {AJ
dQH TH =—— B
G'QC TC E J where Q: and Q3 refer to the reservoirs. (a) With dQL = C‘dec; Eq. LBJ becomes: d J T T
U“ = ——H or dQH = 4315911.
1‘33ch Tc Tc
Substitute for dQﬁ' and a‘QC in Eq. [A]:
dT
M1! = —Cg.THT—‘ + ("gam
E. Integrate from TED to Tc: T  ' T ~
W = —CJ£TH 1" —L + — Tc“) OF “I” = (TH [1'] g — Tc — Tc”)
C. (b) For inﬁnite time. Tc 2 TH. and the boxed equation above beeoutesi: “5 " _ o
{130.* *Ls'hu nahwmin, $l‘?«n, , w: (42 r ’_ r
vjAnﬁiq" ’5‘,” au dv +ch4s‘QJ * . av akwyﬁ _ 91* HEW—“93' ‘m
f;_wRTL oH' ____,_ (ML 3 is a Carla) __ ...
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