Sample Exam Mp

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    Sample Exam # 3

    Due: 10:07pm on Sunday, November 20, 2011

     Note: You will receive no credit for late submissions. To learn more, read your instructor'sGrading olicy

    !S"itc# to Standard $ssignment %ie"&

     

    Exercise 17.28

    $s a ne" mec#anical engineer or (ngines )nc*, you #ave been assigned to design brass

     pistons to slide inside steel cylinders* T#e engines in "#ic# t#ese pistons "ill be used "ill

    operate bet"een 20*0 and 1+0*0 * $ssume t#at t#e coeicients o epansion are

    constant over t#is temperature range*Part A

    ) t#e piston -ust its inside t#e c#amber at 20*0 , "ill t#e engines be able to run at #ig#er

    temperatures. (plain*

    (ssay ans"ers are limited to about +00 "ords /00 c#aracters maimum, includingspaces*

    ANSWER 

    :My Answer:The engine will not run at higher temps because the brass

    expands faster than steel as a function temp increase

    Part

    ) t#e cylindrical pistons are 2+*000 in diameter at 20*0 , "#at s#ould be t#e minimum

    diameter o t#e cylinders at t#at temperature so t#e pistons "ill operate at 1+0*0 .

    (press your ans"er using ive signiicant igures

    ANSWER 

    :   32+*0245orrect

    Exercise 17.!3

    $ vessel "#ose "alls are t#ermally insulated contains *00 o "ater and 0*400 o ice,all at a temperature o 0*0 * T#e outlet o a tube leading rom a boiler in "#ic# "ater is

     boiling at atmosp#eric pressure is inserted into t#e "ater*

    Part A

    6o" many grams o steam must condense inside t#e vessel /also at atmosp#eric pressure

    to raise t#e temperature o t#e system to 2*0 . 8ou can ignore t#e #eat transerred to t#econtainer*

    http://session.masteringphysics.com/myct/assignment?assignmentID=1711637http://session.masteringphysics.com/myct/assignment?assignmentID=1711637

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    ANSWER 

    :  3

    215orrect

    Exercise 17."$ +00*0 c#un9 o an un9no"n metal, "#ic# #as been in boiling "ater or several minutes,

    is uic9ly dropped into an insulating Styrooam bea9er containing 1*+0 o "ater at room

    temperature /20*0 * $ter "aiting and gently stirring or +*00 minutes, you observe t#at t#e

    "ater's temperature #as reac#ed a constant value o 22*0 *

    Part A

    $ssuming t#at t#e Styrooam absorbs a negligibly small amount o #eat and t#at no #eat

    "as lost to t#e surroundings, "#at is t#e speciic #eat o t#e metal.

    ANSWER 

    :  3

    22

    5orrect

    Part

    ;#ic# is more useul or storing t#ermal energy: t#is metal or an eual "eig#t o "ater.(plain*

    (ssay ans"ers are limited to about +00 "ords /00 c#aracters maimum, including

    spaces*

    ANSWER 

    :My Answer:The specific heat of water is over 13 times greater than the

    unknown metal, so the water is more useful for storing

    thermal energy.

    Part $

    ;#at i t#e #eat absorbed by t#e Styrooam actually is not negligible* 6o" "ould t#e

    speciic #eat you calculated in part /a be in error. ;ould it be too large, too small, or stillcorrect. (plain*

    (ssay ans"ers are limited to about +00 "ords /00 c#aracters maimum, including

    spaces*

    ANSWER 

    :My Answer:Yes there would be an error. The metal would appear as if its

    specific heat was lower than in reality.

     Exercise 17.7!

    T#e emissivity o tungsten is 0*+0* $ tungsten sp#ere "it# a radius o 1*0+ is suspended

    "it#in a large evacuated enclosure "#ose "alls are at a temperature o 00*0 *

    Part A

    ;#at po"er input is reuired to maintain t#e sp#ere at a temperature o 200*0 i #eat

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    conduction along t#e supports is neglected.

    Ta9e t#e Steanmann constant to be +*47?10@  *

    ANSWER 

    :   314A0

    5orrect

    Exercise 17.72

    8ou are as9ed to design a cylindrical steel rod 40*0 long, "it# a circular cross section,

    t#at "ill conduct 10*0 rom a urnace at 0*0 to a container o boiling "ater under 1

    atmosp#ere*

    Part A

    ;#at must t#e rod's diameter be.

    ANSWER 

    :   3

    *0

    5orrect

    Pr%&lem 17.1'1

    Bor your cabin in t#e "ilderness, you decide to build a primitive rerigerator out o

    Styrooam, planning to 9eep t#e interior cool "it# a bloc9 o ice t#at #as an initial mass o

    2*0 * T#e bo #as dimensions o 0*+0 0*+0 0*++0 * ;ater rom melting ice

    collects in t#e bottom o t#e bo* Suppose t#e ice bloc9 is at 0*00 and t#e outside

    temperature is 2*0 *

    Part A) t#e top o t#e empty bo is never opened and you "ant t#e interior o t#e bo to remain

    at *00 or eactly one "ee9, until all t#e ice melts, "#at must be t#e t#ic9ness o t#eStyrooam.

    ANSWER 

    :   32*70

    5orrect

    Exercise 18.8

    $ "elder using a tan9 o volume 7*20?10@2

      ills it "it# oygen /"it# a molar mass o

    2*0 at a gauge pressure o *20?10+  and temperature o *7 * T#e tan9 #as a

    small lea9, and in time some o t#e oygen lea9s out* Cn a day "#en t#e temperature is 22*0

    , t#e gauge pressure o t#e oygen in t#e tan9 is 1*0?10+  *

    Part A

    Bind t#e initial mass o oygen*

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    ANSWER 

    :  3

    0*75orrect

    Part

    Bind t#e mass o oygen t#at #as lea9ed out*ANSWER 

    :  3

    0*110

    5orrect

    Pr%&lem 18.!2

    $ vertical cylindrical tan9 contains 1*70 o an ideal gas under a pressure o 1*0+ at

    22*0 * T#e round part o t#e tan9 #as a radius o 11*0 , and t#e gas is supporting a piston

    t#at can move up and do"n in t#e cylinder "it#out riction*

    Part A

    ;#at is t#e mass o t#is piston.

    ANSWER 

    :  3

    1

    5orrect

    Part

    6o" tall is t#e column o gas t#at is supporting t#e piston.

    ANSWER 

    :   31*05orrect

    Pr%&lem 18.7(

    Part A

    Bor "#at mass o molecule or particle is t#e rms speed eual to 1*10 at a temperature

    o 00 .

    ANSWER 

    :  3

    1*0?10@1

    5orrect

    Part

    ) t#e particle is an ice crystal, #o" many molecules does it contain. T#e molar mass o

    "ater is 1*0 *

    ANSWER 

    :   3*?1011

    5orrect

    Part $

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    5alculate t#e diameter o t#e particle i it is a sp#erical piece o ice*

    ANSWER 

    :   32*77?10@4

    5orrect

    Exercise 18.7

    $ aguar EF convertible #as an eig#t