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习题练习:Physics Unit14: Heat

 作者: physics 发布日期: 2022-08-08 11:28   总分: 79分  得分: _____________

答题人: 游客未登录  开始时间: 22年08月08日 11:28  切换到: 整卷模式

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1#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Which of the following is the smallest unit of heat energy?tyno:41hh9 b txzha06

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2#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The amount of heat necessary to raise the temperatureibl7d)uh5vpc9b 90d8 i*q rq o of 1 gram of water by $1 \; ^{\circ}C$ is referred to as the

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3#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The measure of the average kinetic energy of individual molecules is referred av5us -ymo 82 bet:b*fwzp7,o to : szaf7v*o,8-b2myt p ouw5 beas

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4#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A cup of water is scooped up from a swimming pool of wateffvo4 o j899yv5tidoco0zwp2v d- ,k.r. Compare the temperature T and the internal energy U of the wayf9 ,0f-o cvd5oz 9jkv84w 2toivp .doter, in both the cup and the swimming pool.

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5#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The internal energy of an ideal gas depend1y a nsh2w1/w4/0ooeae lip(vs on

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6#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An ideal gas at STP is first compressedr o0nepc+/ 7fr(rszr:gss.q* until its volume is half the initial volume, and then it is allowed to expand until e rrgzspcr/(f 0qs 7+n:.*r soits pressure is half the initial pressure. All of this is done while holding the temperature constant. If the initial internal energy of the gas is U, the final internal energy of the gas will be

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7#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An ideal gas with internal energy U xyw;gmrl;,(j at $200 \; ^{\circ}C$ is heated to $400 \; ^{\circ}C$. Its internal energy then will be

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8#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The reason ocean temperatures do not vary drasticall i n0*d(ciw0ggy is that

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9#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  It is a well-known fact 58v7mg pyqog7that water has a higher specific heat capacity than iron. Now, consider equal masses of water and iron that are5v7yo8qgmpg 7 initially in thermal equilibrium. The same amount of heat, 30 calories, is added to each. Which statement is true?

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10#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A thermally isolated sys+ /;2q k hn: xuemra9j4ayv*bktem is made up of a hot piece of aluminum and a cold piece of copper; the aluminum and the copper are in thermal contact. The specific heat capacity of aluminum is more than double that of copper. Which object experiences the greater magnitude gain or loss of heat during the time the sys ky+m2bqj4:/xu;9n*rev aahk tem takes to reach thermal equilibrium?

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11#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Phase changes occur

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12#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The heat required to change a substance from the solid to the rg)j.5ex ,s2xcqpg4n liquid state is referred to as thg c5,.)e 2qrx4ngjpsx e

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13#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The heat required tov(p4 :i:,nd1j +e iipt .5legvzqm-sz pa .oc; change a substance from the liquid to the vapor state is referred to i e.451+mla ov p(ijvdstp. :z,zceg;q:n- ip as the

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14#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  If heat is added to a pure substance at a 7 5qbimsjd* tww5)a5lx(md w13pmyx+ steady rate,

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15#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  When a solid melts

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16#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  When a liquid freezes3eb swnt(o 7qpwi092d

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17#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  When a liquid evaporatesyw 1u:)-l rahp

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18#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  When a vapor condensdi-8-z2ejtn d 3ewd+e(ls r7 aes

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19#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  In a cloud formation, water vapor condenses into water dr( x6oa)zvo+ wjku;0omoplets which get bigger and bigger until it rains. This will cause the)o0 ajozuxwv ;m+o6(k temperature of the air in the clouds to

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20#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Turning up the flame under a pan hv 1gzxiwyi4f +m25.q of boiling water causes

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21#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Equal masses of water at w4zzdbxchrpj 34(j 5/ $20 \; ^{\circ}C$ and $80 \; ^{\circ}C$ are mixed. What is the final temperature of the mixture?

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22#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A chunk of ice ($T = -20 \; ^{\circ}C$) is added to a thermally insulated container of cold water ($T = 0 \; ^{\circ}C$). What happens in the container?

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23#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The process whereby heat flows by means of molecular(f.f(s )pcex j collisions is referred to a.f((fe cpxs)js

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24#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  By what primary heat transferj;z(rk 8h;+1h lz 5i 0 thnwtp.cfzl:f mechanism does one end of an iron bar become hot when the other end is placed in a w;h +kpl;htz8r :z lf(i.cz0nht15f jflame?

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25#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  On a cold day, a piece of metal feels much chb;zyl6j bwi5ot q.x ah( p6-4r41d otolder to the touch than a piece of wood. This is due to the difference in which onehod4 y4z;1tx6itljq.rw b a6 hpo5b(- of the following physical property?

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26#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  If you double the thickne))sq9u)qx-hyc,g n scss of a wall built from a homogeneous material, the rate of heat loss for a given temperature difference acroy, q 9c))-sgqn)xhcs uss the thickness will

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27#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A layer of insulating mateb on.p8k:x6rn4g7p0nch.qq nrial with thermal conductivity K is placed on a layer :q bp qn.g6.xnhp4nkr8n c70oof another material of thermal conductivity 2K. The layers have equal thickness. What is the effective thermal conductivity of the composite sheet?

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28#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The process whereby heat flows bu7h+i7 jieon*r o33jme)u /uw y the mass movement of molecules from one place to anowjeuj7 3*7ohru )nuii /3+meo ther is referred to as

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29#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  By what primary heat transfer mechanism is a pot of water heated ond*dp4wbw pzib,d *b p-fro*o: y65-zu a stove?

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30#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Convection can occurkdq8z;swbgeh 3,e,it700jj s

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31#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Which of the following best explains why sweating is important to humans inp6z5ng8(8lo6qvxs ; /ugfldeiqe , n, maintaining suitable body temperat gp sl,z86d i fqexo v5ql/(gn,;e8nu6ure?

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32#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A spaceship is drifting in an environment wh.xdl6rq) o.f sere the acceleration of gravity is essentially zero. As the air on one side of the cabin is heated by an electric heater, what is true about the convection currents caused brdq.)l fso6.xy this heating?

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33#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Consider two neighboring rectangular house8+vy/, f be7sri z/jvrs built from the same materials. One of the houses has twice the length, width, and height of the other. Under identical climatic conditions, what would be y/ rbf7sevr+/ zi,vj 8true about the rate that heat would have to be supplied to maintain the same inside temperature on a cold day? Compared to the small house, the larger house would need heat supplied at

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34#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  If the absolute temperature of a radiator is 9,zvsx ,.4a ajjwfqt:doubled, by what factor does the radiatinqajvftjwx, :9a,.4 szg power change?

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35#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The process whereby heat flows in the absence /2xt(d2wpbr j8vna:l of any medium is referred to as

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36#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  By what primary heat transt+6ehl syr-houz 9e(g -yp0w7fer mechanism does the Sun warm the Earth?

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37#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  1700 J of work is equivalent to how much he)1 hcaqhhq :+qat?

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38#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  16.5 kcal of heat is equivalent to how 8s 8+6jbju.d.v avtmvydi :ccxr vtm+8g5*: dmuch work?

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39#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Gasoline yields $4.8 \times 10^{7} \; joules$ per kg when burned. The density of gasoline is approximately the same as that of water, and 1 gal = 3.8 L. How much energy does your car use on a trip of 100 mi if you get 25 mi per gallon?

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40#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  How much heat is needed to raise the tempera-,b vh4thkr3owe:5 e69 jr sxyture of 100 g of lead ($c = 0.11 \; kcal/kg \cdot ^{\circ}C$) by $15 \; ^{\circ}C$?

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41#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  If 40 kcal of heat is added to 2.0 kg of water, what is /z jt*j76r6eq rrp n7gthe resulting temperature ch*g6r6/jj 7 te7zqnpr range?

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42#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 4.0-kg aluminum blcid8-1a48 f oc7vvsngock is originally at $10 \; ^{\circ}C$. If 160 kJ of heat is added to the block, what is its final temperature?

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43#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  150 kcal of heat raises the temperature of 2.0 k a 6ikw*ycf4u:g of material by $400 ^{\circ}F$. What is the material's specific heat capacity?

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44#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A person tries to heat up her bath water b*z4f 3iwh4uu gy adding 5.0 L of water at $80 \; ^{\circ}C$ to 60 L of water at $30 \; ^{\circ}C$. What is the final temperature of the water?

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45#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A machine part consists of 0.10 kg of iron and v)p2z:sh 3 xynz9sf-e 0.16 kg of copper. How much heat is added to the gear if the temperature increfhe s3z:y9n2ps)x vz -ases by $35 \; ^{\circ}C$?

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46#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  50 g of lead ($c = 0.11 \; kcal/kg \cdot ^{\circ}C$) at $100 \; ^{\circ}C$ is put into 75 g of water at $0 \; ^{\circ}C$. What is the final temperature of the mixture?

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47#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 0.600-kg piece of metal is heatedo:2ww7 x hh x;kfrkmhuk-l 79, to $100 \; ^{\circ}C$ and placed in an aluminum can of mass 0.200-kg which contains 0.500 kg of water initially at $17.3 \; ^{\circ}C$. The final equilibrium temperature of the mixture is $20.2 \; ^{\circ}C$, what is the specific heat of the metal?

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48#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 0.10-kg piece of copper, initial.sdk c5 ts.,ycly at $95 \; ^{\circ}C$, is dropped into 0.20 kg of water contained in a 0.28-kg aluminum can; the water and aluminum are initially at $15 \; ^{\circ}C$. What is the final temperature of the system?

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49#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  If 50 g of material a ,i-t vj6+pce; tpfo*at $100 \; ^{\circ}C$ is mixed with 100 g of water at $0 \; ^{\circ}C$, the final temperature is $40 \; ^{\circ}C$. What is the specific heat of the material?

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50#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two equal mass objects make 8)txekonq v:m)*djyp/a -g+g up a system that is thermally isolated from its surroundings. One ob)/g8* y mo) ptkqj:aexv+- dgnject has an initial temperature of $100 \; ^{\circ}C$ and the other has an initial temperature of $0 \; ^{\circ}C$. What is the equilibrium temperature of the system, assuming that no phase changes take place for either object? (The hot object has a specific heat capacity that is three times that of the cold object.)

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51#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  On his honeymoon, James Joule attempted to explore the re:2ois1fgx6 db abqfyp+ * c72qlationships between various forms of energy bd7*+ ox2 c:b2pq 1ybfsf6gqaiy measuring the rise of temperature of water which had fallen down a waterfall on Mount Blanc. What maximum temperature rise would one expect for a waterfall with a vertical drop of 20 m?

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52#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The water flowing over Niagara Falls drops a distance o:uu 6yle-y00u,xtve 0ct.a dof 50 m. Assuming that all the gravitational energy is0l-c6e :,0tautey uu0yov d.x converted to thermal energy, by what temperature does the water rise?

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53#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 200-L electric water heater uses 2 kW. Assuming no heat loss, how 83j*kjp)aho)s8bl0.bbo+ t cxq2n xw long would it take to heat wabknopslt ca j 8 h0xx.j)qw)2*38ob+bter in this tank from $23 \; ^{\circ}C$ to $75 \; ^{\circ}C$?

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54#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 5000-W heater is used to heat water. How long will it take to heat /esh .obzmdxs j2d83k 9ku-5c20 kg of water frokmdd9szojxh52 c b.8 - s/e3ukm $20 \; ^{\circ}C$ to $100 \; ^{\circ}C$?

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55#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An aluminum kettle (mass 10: )zrifu1r)rh x -s m*9p*xmd+ekqvl000 g, $c = 0.22 \; kcal/kg \cdot ^{\circ}C$) holds 400 g of pure water at $20 \; ^{\circ}C$. The kettle is placed on a 1000 W electric burner and heated to boiling. Assume that all the heat from the burner heats the kettle and its contents, and that a negligible amount of water evaporates before boiling begins. Calculate the amount of time required to bring the water to boil.

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56#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  In grinding a steel knifk*)vo6myp2g9; 2r;mo7olry w kxf8 jx e blade (specific heat = $0.11 \; cal/g \cdot ^{\circ}C$), the metal can get as hot as $400 \; ^{\circ}C$. If the blade has a mass of 80 g, what is the minimum amount of water needed at $20 \; ^{\circ}C$ if the water is not to rise above the boiling point when the hot blade is quenched in it?

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57#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  How much heat must be removd dnuii.d pldphi;+ 0 d)0dvxt:35ni-ed from steam to change it to liquid?

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58#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Ice has a latent heat of fusion of 80 kcal/kg. How much heau :ynx-v dvivufh*z,3x3 urepm0/ 80e t is required to melt 200 g of ichyxne: d3 v e pu0x-u3rzi0/v*uv ,fm8e?

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59#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  How much heat energy is needed to change 10 kg owqfe*7sm;5sf(npt9 y f ice at $-20 \; ^{\circ}C$ to water at $50 \; ^{\circ}C$?

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60#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  How much heat needs to be7w5z )3 djvl ad7gas6a 15uhkj removed from 100 g of $85 \; ^{\circ}C$ water to make $-5 \; ^{\circ}C$ ice?

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61#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The heat of fusion of ice is 80 kcal/kg. When 50 g of ice atw9:tu fw:r; nmr/ 30 nemra,8n s(xwkj $0 \; ^{\circ}C$ is added to 50 g of water at $25 \; ^{\circ}C$, what is the final temperature?

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62#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Eight grams of water initiallapqbh+2uv) e.4s7r c xy at $100 \; ^{\circ}C$ are poured into a cavity in a very large block of ice initially at $0 \; ^{\circ}C$. How many g of ice melt before thermal equilibrium is attained?

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63#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A block of ice at $0 \; ^{\circ}C$ is added to a 150-g aluminum calorimeter cup that holds 200 g of water at $10 \; ^{\circ}C$. If all but 2.00 g of ice melt, what was the original mass of the block of ice?

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64#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  If 2.0 kg of water at41rt+ + qevd;nmagq.s $0 \; ^{\circ}C$ is to be vaporized, how much heat must be added?

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65#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  How much heat energy is needed to change 10 k9+zh mwvr7z5,ljwaq-9 pzij ,g of water at $50 \; ^{\circ}C$ to steam at $120 \; ^{\circ}C$?

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66#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  How much heat is required to change oz0 imtr-; nrk; mv)h3one gram of $0 \; ^{\circ}C$ ice to $120 \; ^{\circ}C$ steam?

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67#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  How much heat is reqj.f4w. h3 z rmihczc-/uired to change 100 g of $-10 \; ^{\circ}C$ ice to $150 \; ^{\circ}C$ steam?

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68#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A person makes ice tea by adding ice to 1.8 kg of hot mq6yavt (8cl/ tea, initially at $80 \; ^{\circ}C$. How many kilograms of ice, initially at $0 \; ^{\circ}C$, are required to bring the mixture to $10 \; ^{\circ}C$?

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69#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The heat of fusion of lead is 5.9 kcal/kg, and the h0n *4okk i+ekjt ik qgc;h8r1+eat of vaporization is 207 kcal/kg, and its c*hk8q i i+rk+04o 1tj nkek;gmelting point is $328 \; ^{\circ}C$. How much heat is required to melt 50 g of lead initially at $23 \; ^{\circ}C$? (The specific heat of lead is $0.031 \; kcal/kg \cdot ^{\circ}C$)

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70#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The thermal conductivity n +7ls/xq.uvvof concrete is $0.8 \; W/m \cdot ^{\circ}C$ and the thermal conductivity of wood is $1.1 \; W/m \cdot ^{\circ}C$. How thick would a solid concrete wall have to be in order to have the same rate of flow through it as an 8-cm thick wall made of solid wood? (Assume both walls have the same surface area.)

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71#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The thermal conductivity of aluminum is s 8hpe1b, oc u-e/wl i/ycve;-twice that of brass. Two rods (one aluminum and the other brass) are joined together end to end in excellent thermal contact. The rods are of equal lengths and radii. The free end of the brass rod is maintaine8h; be,ecv-lpy so/u- /wei1cd at $0 \; ^{\circ}C$ and the aluminum's free end is heated to $200 \; ^{\circ}C$. If no heat escapes from the sides of the rods, what is the temperature at the interface between the two metals?

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72#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A window glass 0.50-cpn+r-7( fqhlbkv 1rx(m thick has dimensions of 3.0 m by 1.5 m. If the outside temvb (lhx (nprq-rk1f7+perature is $-10 \; ^{\circ}C$ and the inside temperature $20 \; ^{\circ}C$, what is the rate of heat conduction through the window?

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73#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A window glass 0.50-cm thick has dimensiofbiz(ip nj8 06ns of 3.0 m by 1.5 m. If the outside temperatui 0z6ib pjfn(8re is $-10 \; ^{\circ}C$ and the inside temperature is $20 \; ^{\circ}C$, how much heat flows through the window in one hour by conduction only?

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74#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  How much heat will flow in 1.0 hour through a 2.0 m x 2.0 m sectio- xvb*okp* b/ ++i.cz.gl bjphn of concrete (jpv . zph /c*.x++i*bklog b-b$k = 2.0 \times 10^{-4} \; kcal/s \cdot m \cdot ^{\circ}C$) 10 cm thick if the inside temperature is $21 \; ^{\circ}C$ and the outside temperature is $4 \; ^{\circ}C$?

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75#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  How long will it take to transfer 1,000,000 cal of heat. p4/og7aiivb through a $2.0 \; m^{2}$ pane of 0.30 cm thick glass ($k = 2.0 \times 10^{-4} \; kcal/s \cdot m \cdot ^{\circ}C$) if the temperature differential is $10 \; ^{\circ}C$?

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76#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  What is the outside temperature if 4000 kcal of heat is lost through a ; can*li ) ug+7ufiv.yr( fr+w$4.0 \; m^{2}$ pane of 0.30 cm thick glass ($k = 2.0 \times 10^{-4} \; kcal/s \cdot m \cdot ^{\circ}C$) in one hour from a house kept at $20 \; ^{\circ}C$?

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77#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  In an electric furnace used for refinint: z/kqs:lro hm- :v+wg steel, the temperature is monitored by measuring the radiant power emitted throughsm:: -:w/ qo+kvzr lht a small hole of area $0.5 \; cm^{2}$. The furnace acts like a blackbody radiator. If it is to be maintained at a temperature of $1650 \; ^{\circ}C$, at what level should the power radiated through the hole be maintained?

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78#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  At what rate is the human body radgenac 07 yltx/cn3fsh-) k;*7o6(i0iu kgu fciating energy when it is at $33 \; ^{\circ}C$? Take the body surface area to be $1.4 \; m^{2}$, and approximate the body as a blackbody.

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79#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  What temperature exists inside a solar collector (effective collectiom.y3a:7 4s vzmoqg 8dhn area of $15 \; m^{2}$) on a bright sunny day when the outside temperature is $+20 \; ^{\circ}C$? Assume that the collector is thermally insulated, that the Sun radiates the collector with a power per unit area of $600 \; W/m^{2}$, and that the collector acts as a perfect blackbody.

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