L. A copperflaskwitha volumeof 1-50cm3is filledto the brimwitholiveoil. lf the
temperatureof the systemis increasedfrom 6.0oClo 2IoC, howmuchoil spillsfromthe
flask?
..
H e a t b y 2 5 C'
;i::,it,
ffiitr#ffi{&!,
'
' a.;,
,,a.,,,,
,r
,:-'
,
..,.
,,,'.::,'
* 5* rJt'hT; 3 ( rr xtc*nK-t ( tg * a,",}){ p r* to\ l1*
{\\ qr*ru
r' # ! lt n*s
fu\ +i{:r
i,}i.
-
& \ o ; \ * A ! { t * r u . * \" t- l\S t*" r 3 fr - \,t" " ltT h fr J*kn *3
2 . An aluminumrod3.0 m longis heateduniformly
untilitstemperature
risesby 20"C.
Findthe fractionalchangein the lengthof the rod.
AL = L***-&T
# Lo = r*4A'T= #r"{xtc-('l"c(s*.c}
t\f
qb =\_ Erti0
" aLl
' = O "O O O \ X
Lo
3 . A railroadtrackis madeof steelrailswhichareeach30 m long. lf eachrailcanexpand
feely,howmuchspaceshouldbe left betweensuccessive
railsto avoidbuckling?
Assumethat the maximumincreasein temperatureis dueto heatingfromthe sun is
60"c.
aL = L",(aT
(t t xio- olt")Lt"C.C\
AL = 3,O.'.,
AL = . \ q' 3
--
4. A steelsphereof diameter4.0025 cm is to be passedthrougha brassloopof inner
diameter4.OO72cm. lf the steeland brassare heatedtogether,by howmanydegrees
mustthey be heatedfor the sphereto just fit throughthe loop?
Q\"o. =dr..p N\ : o{.r.-rdspr**\\ +c. co\i
c.n
\l xr n- /*\ .( \ , o. *) A T = \\x \0 -u l o r(q .AN + O. O Ot3,l
A\= qq,5 "C
-
5. A copperrod(cr= L7 A x 10-s/'C) is 20 cm longerthanan aluminumrod(a = 2.2Ox LA'
5I " C). Howlongshouldthe copperrod be if the differencein their lengthsis to be
independent
of temperature?
T***Tn
Lg,A\? Lo,* *- (). il
i
A L* * * A L ^ ,
ft"U.M)** =. {.o*L*fffinr
\ . Tx f g - 5 l o c - - L o*
-*.
f fi' lu - til- s/-(LL "*{ } ,;)
L * = c.??5^
6. A steeltapemeasures
the lengthof a copperrodat 90.00cm whenbothareat 10"C,
for the tape. Whatwouldthe tape readfor the lengthof the
the calibration
temperature
= 1.1 x 10-5/ " C; o.,popps,
= 1,.7Ox t0'5 /' C.
rod when both are at 30"C? crsteel
L**= L" t\"****&I) * tft*,r, [t * 1,n;xig-s
t*n* * gC.{)SCGc,,r
n tc"fi\r\'t.L**o: Lo(\****fr}= q#ewr[\4\,\ Kl#*(fidfJ
AL * t) "01*'d c-,-'
Tape .,.mu"\,"*nt*rc,L {ftiltn.o" *t C- OlOt cvv,=
q O ,O l Okr yn
.\2./
7 " A glassflaskis filled"to the mark"with 50.00 cm3of mercuryat 18'C. lf the flaskand
=
its contentsare heatedto 38"C, howmuchmercurywill be abovethe rnark?
S'uu, 9.0
x 1 0 - o lo C iF *" '.u rv=
7 8 2 xL O-6
" * * Ani * r r ,
/"C
S*U,* .* _
\o[.r.r,c obore- rtc*rl = AV S"r.
t\1 -A\
Slass
A\= (e*r-Sr)\"AT
A\ = (wr-t)x r o , l o r( S o .* u ) ( :x* i B ) ,r
I.3 x l O * t* 3
sampleof the alloyis heatedto 540'C. lt is thenquicklyplacedin 4009 of waterat
in a 2OAgaluminumcalorimeter
10.0'C,whichis contained
cup. Thefinaltemperature
of the systemis 30.5'C. Calculate
the specificheatof the alloy.
(r*+ \"+ b\ = 1 \re* 5oi^'o\* ( n.** goi^oAxy\
')*\
\+u a Y
\Ywohr
l
\cr r \0r ' ;i+ils"
' hi )
Y11*t**ffio 5 fr\wt,-*llT"* *t?'",.,.'[ * &T ,a
**"i-t[it{,'{la{,r5l.1'trf**,5-r6)u1
{r.lr'["s.,,
+c.}r<1(90u/y3"c)(so-s-tc)
C*-Lgq**So,5"1*t
I G.t1co"= €n,:o $ +3?oo)il r3*g
C c:
SCOT isso L
I
9. A thermosbottlecontains150 g of waterat 4oC. lntothis is placed90 g of metalat
100"C. Afterequilibriumis established,
the temperatureof the waterand metalis 21"C.
Whatis the specificheatof the metal? Assumeno heatlossto the thermosbottle.
= (cn,\r)wa\er
Q* N)*r.r
C :
Cv+tri1* S-
[Y\.".a\*
e = !,aurl**..(o.tsvg)(ai
-\)
r)
a
o.oqb(too -
ff\w 3 O, \E Kg
T i,*= L i *C
f"nrne (),O\KE
J"rr w1,: \C$o C
T +: ?\ "C
[ - tS o tr p s "c
1-0.Aleadbrick,of mass3 kg and at a temperatureof 300oC,is droppedintoan insulated
coppervesselof mass1.5 kg that containsm = 2.Okg of water;the calorimeter
temperature
is T = 20"C. ]f the finaltemperature
at equilibrium
is T = 3!.7oC,findthe
= 0.130 RJ/kgoC)
specificheat of lead. (creao
n.
-n ( doc r t
U{ r n
T F = 3 \,luC
-
Q,^ = Ynwc.- fr* -T ) * rn. c . (Tq_Ti)
ci^ = lr5 (tw6 (1 \,1- ?o"c\-t \"a13(3Bt rlr,5"il(j\.'l)o)c
=
Qi,.', IOL{,l+.lf
= ffi*uc*,Af = 3[b Cou(joo - 31.?.C\ :
Qo,,,*
\0\ i lrtr{T
C?r: \3 Crlr.eu(
11.Analuminumblock,of mass200 g and a temperature
of 400oC,is droppedintoan
.2.'l'
Jaluminumcalorimeterof massl-.0 kg filledwith 10Og of waterat a temperature
of
5.0oC.Findthe temperature
whenequilibrium
is reached
_t
Cn,= gOOs/rE,c Cw = !1ht"i/1r1oa
Fl4t= O" ?r 3
nnw:l Kg
Q^..= Q'6
\
f^, = TOO"C
T- : S" 0'
/
/
n T\
^ -r-\
(^ c Af)^'= (nna A\ )
-
+ rncAf,*r
c.?y-j(1oorlru,\(too-T+)=I K"r(906rlre")$5-s \"
O,\ (\ttA)fit
I?oob € \tcnii's 90Qf+-: : qSOO t ttt.LTf - )Cq3
'lz s.r3'=, lt? g"6T-F
'5e,\(= f1
!
ri,,1