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PT” st: LOWVVOLZSYN; Hana 3 4} (35 pts.) One mole of water is cooled from T;=25 0C to '15:!) "C and frozen in a
refrigerator. You can treat the heat being taken out of the water as the low~temperature
heat input for the refrigerator. The refrigerator operates at maximum theoretical
efficiency (no entropy created) and exhausts heal into a second mole of water at (again)
T;=35 “C. heating it to T_.:l00 “C and converting a fraction (n’ mole) into vapor. Note: For parts a) through (I). express your answer for each part in terms of any or all of
the quantities given in the problem. 2?}. T3. T} and n', and relevant physical constants.
You can use at as the mass of one mole of water. Also remember that there are two
thermodynamic processes for each of these parts: the cooling and the freezing. or. the
warming and the vaporization. a} Find the total amount of heat. IQil. that ﬂows out of the ﬁrst mole of water. ‘Asﬂme 0er sit! he} Q'B’c +01: = “C (KiT") «wigH = [91’ leuva'c ’0' “quaint, L5,,“ Answer: imcm‘ﬁ)  mid .0) Find [he total amount ofcnlrupy. IAS‘H. that ﬂows nul 01‘ [he ﬁrst mole of water. A5! = 4Q
“I: a“ '90'C “no : f%mch at { mm cerium];v convert in “Ink! 8 MC T3 JB‘ 7;! ° Answer: 75'. ('J Find the IOIEII amounl of heat, lQgl. than “0W5 into the second mole of water. 0:. IsaNut mc (73 “7;.)_ a: ywtze 3" n J” Li! Answer: [mag1;) “rm 1%] (1‘) Find the lulu] amount of cnlropy. IASgl. that flows into the second mole of water. no“ ASIS‘Lnao‘ " as.
7;
J.
= mi] 1.47“ 3 Inc 251 5 ... 53;
‘ir‘J'v‘r 7; _ : ’l'ﬂlvzV‘_ 73 Answer: c!) What is ASH ASg‘? Note than there are no absolute value signs around the entropy
channg here. (Him: Can this proccsx be reversed?) inc/n  + f. ’7ng
. z _ = mc/n ,zi _—;n(%_g_’£g
7?, 7:: Answer: f) Find n ’. ““/%)m .3, 3 Formulaic Answer: TI: geek 1;: 25‘3K Li: 3.33~:o‘,:§ * L,= amend—i c = '1. l‘Prlo’ g5 Numerical Answer: B How much work. IW]. must he dnnc by the refrigerator?
I 1] zlwl+ 162d
(w! 2 In: c (I; 4,.) +n’er)  {mew7;) mgr ': OCRﬁt!) +3)” *WM—RJ ... Fm'mulaic Answer:
[rims 4;)”:th ‘7»(ZDm111g Numerical Answer: [JrNW. ...
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This note was uploaded on 02/04/2010 for the course PHYSICS 7B taught by Professor Packard during the Spring '08 term at University of California, Berkeley.
 Spring '08
 Packard

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