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习题练习:Physics Unit13: Temperature and Kinetic Theory

 作者: physics   总分: 86分  得分: _____________

答题人: 游客未登录  开始时间: 22年08月07日 11:04  切换到: 整卷模式

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1#
 
问答题 ( 1.0 分) 切至整卷模式 搜藏此题  
State the zeroth law of thermod5gjq.v 6w /hm2 :i +a;sz uew-omiif3hynamics.
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2#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A bimetallic strip, consisting of metal G on the top and metal H9tqlp4 cbgbg3+ :mta* on the bottom, is rigidly attached to a wall at the left. (See Fig. 13-1.) The coefficipmblg* 9agcbqt +t 43:ent of linear thermal expansion for metal G is greater than that of metal H. If the strip is uniformly heated, it will


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3#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  When the engine of your car heats up, the spvz6jqhh( zd( 1,5v jzj)oco r,ark plug gap will

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4#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Consider a flat steel plate with a hole through itrz-79 k 02nm i4ebg 0ik9p*cnpwrxex4 s center as shown in Fig. 13-2. p n*g0-9nwperx e09bmkz4 4c7irx2k iWhen the plate's temperature is increased, the hole will


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5#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The coefficient of linear expuj nt +z41o ;rcy1zjo8ansion for aluminum is $1.8 \times 10^{-6} \; ^{\circ}C^{-1}$. What is its coefficient of volume expansion?

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6#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The surface water temperature on a large, deepfbme rr24j /e(;p xvy3 lake is $3 \; ^{\circ}C$. A sensitive temperature probe is lowered several meters into the lake. What temperature will the probe record?

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7#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Which temperature scale never gives negative temperaturescq0dmv*l6ml 2-qe j1c?

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8#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Which two temperature changes are equivalentz/ rc 35bkd,dzln-(g e?

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9#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The temperature in your classroom is ccg e7jz( ,rno;qz 40qapproximately

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10#
 
问答题 ( 1.0 分) 切至整卷模式 搜藏此题  
State Boyle's law.
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11#
 
问答题 ( 1.0 分) 切至整卷模式 搜藏此题  
State Charles's law.k,vw 1/;ia u0tianra 9uwt(c ;
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12#
 
问答题 ( 1.0 分) 切至整卷模式 搜藏此题  
State Gay-Lassac's law: 0ud y-qz/ amvh-zu +ni5ou z(gfa;.c.
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13#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A container of an ideal gas at 1 atm is compressed to one-third its volume, withmsie g0atx7i jlkl5/ngt:+. / the temperature held/ 7ltj/5ntx 0a+g.seiimk:gl constant. What is its final pressure?

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14#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  If the pressure acting on an ideal kz zy/g.80fmygas at constant temperature is tripled, its volume ik8.f/m yzgz0ys

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15#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  According to the ideal ghi c1gaa57m+w as Law, PV = constant for a given temperature. As a result, an increase7iahw +1gm5ac in volume corresponds to a decrease in pressure. This happens because the molecules

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16#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The number of molecules in one mole of a su(r / +w8jwig)des(rhsbstance

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17#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A container holds N molecules of an ideal gas a+gjd. *s)y9ez;d( ma g( lxstrt a given temperature. If the number of molecules in the container is increased to 2N with no change id g)(dtsm*z(g. axe;l sr9yj+n temperature or volume, the pressure in the container

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18#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Both the pressure an6rsfis16-h cc)k+ l yid volume of a given sample of an ideal gas double. This means that its temperature in Kelvin misi kf16rl+ccs y-h)6ust

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19#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The temperature of an i+vj;t-s;pg .fkokey z (1zl l-deal gas increases from $2 \; ^{\circ}C$ to $4 \; ^{\circ}C$ while remaining at constant pressure. What happens to the volume of the gas?

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20#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A mole of diatomic oxyz*h t8*vjb,n egen molecules and a mole of diatomic nitrogen molecules at STP havez 8vbt**e n,jh

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21#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Consider two equal volumes of gas p h :kdu3w5 l9oq)*efhat a given temperature and pressure. One gas, oxygen, has a molecular mass of 32. The other gas, nitrogen, has a molecular mass of 28. What is the ratio of the number of oxdh9hw of:up lq* ek53)ygen molecules to the number of nitrogen molecules?

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22#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The average molecularyv )6h1 h)hqfr kinetic energy of a gas can be determined by knowing only

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23#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A sample of an ideal gas is slowly compressei,p lk0yrrai w4 p*7q1d to one-half its original volume with no change in temperi*4p1lary kr pq,0i7w ature. What happens to the average speed of the molecules in the sample?

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24#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A sample of an ideal gas is heated and its Kelvin temperature doubles. t k (e 89*klphkee1f.c What happens to the average speed of the molecules in the samp*lkecke1( f9kphe.t8 le?

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25#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The absolute temperature of an ideal gas is directly proportional to w3cgrieo4o7dj , 8r/,yjt qwj.hich of the ft o.3ord eg8jw/c4 yq,, ij7rjollowing?

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26#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  In order to double the average speed of t3ulaam e.s2uc( 0mhx+3 ,vbsf* n*ksjhe molecules in a given sample of gas, the temperature (measured in Kelvin) muk+( ulc,j s3e3m* xvsm2*ubnahas 0. fst

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27#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Oxygen molecules are 16 times more massive than hydrogen molecul zjvrb - ,laera32h+9yes. At a given temperature, the average molecular kinetic energy of oxygen,v ab,aj2 9l rer+h-z3y compared to hydrogen

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28#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Oxygen molecules are 16 times more massive than hyd *y* d;en frjem;fss/q m ,a3lffn0ur.ao9a:;rogen molecules. At a given temperature, how do their average molecular speeds compare? Thf,90s*yd *qaln.;;remfe;f r au jn/3:af osme oxygen molecules are moving

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29#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A fixed container holds oxygen and helium gases at the same :b6zl kqs,owgpiy/v h:v,i 9 ;temperature. Which one of the following statementskh:;,o y6 lsqgv vzb/:9i,p iw is correct?

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30#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A container is filled rgdr0kx* s(a ,o3to9u with a mixture of helium and oxygen gases. A thermometer in the containero a 3(td9*rosg0ku ,rx indicates that the temperature is $22 \; ^{\circ}C$. Which gas molecules have the greater average kinetic energy?

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31#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A container is filled with a mixture j ge+7q:czf9 o:q-u(dg * aafkof helium and oxygen gases. A thermometer in the container indicates that the temperat9 :*gc:zu e gfaj+7(d qqfo-akure is $22 \; ^{\circ}C$. Which gas molecules have the greater average speed?

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32#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The three phases of mat*em:sl -rwv:as nq07f sinr70ter can exist together in equilibrium at the

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33#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Supersaturation occurs ix(b *(nwkano :n air when the

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34#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Express your body temperh.-w ,- mfy;ink) xa+bt,niu dd9z;foature ($98.6 \; ^{\circ}F$) in Celsius degrees.

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35#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Express $68 \; ^{\circ}F$ in $^{\circ}C$.

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36#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Express $-40 \; ^{\circ}C$ in $^{\circ}F$.

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37#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The temperature changes froege30 44owb)th :7jo ur72yn 2f;i dmhgtg7bxm 35eF during the night to $75 \; ^{\circ}F$ during the day. What is the temperature change on the Celsius scale?

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38#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A temperature change of cb: wsh(z*u1r $20 \; ^{\circ}C$ corresponds to a temperature change of

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39#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  At what temperature are the numerical readings on the Fahrenhei/ gs6k263sbgrib.u(09 y kj jynyst8wt and Celsius scales /rygy s2(t3 ib.bk j66k8 gwujs09ynsthe same?

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40#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A steel bridge is 1000 mkj37vkxbsxc::rh:bc.8vh k7; 4b dne long at $-20 \; ^{\circ}C$ in winter. What is the change in length when the temperature rises to $40 \; ^{\circ}C$ in summer? (The average coefficient of linear expansion of steel is $11 \times 10^{-6} \; ^{\circ}C^{-1}$)

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41#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An aluminum rod 17.4 cm l psg4gex681qa ong at $20 \; ^{\circ}C$ is heated to $100 \; ^{\circ}C$. What is its new length? Aluminum has a linear expansion coefficient of $25 \times 10^{-6} \; ^{\circ}C^{-1}$.

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42#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  By how much will a slaq1vyn8 a hyl42b of concrete 18 m long contract when the temperature drops fromvan2y4 yl q1h8 $24 \; ^{\circ}C$ to -$16 \; ^{\circ}C$? (The coefficient of linear thermal expansion for concrete is $10^{-5} \; ^{\circ}C^{-1}$)

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43#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A bolt hole in a brass plate 3vt 2y-co vo17p zbh,/rg8e bmhas a diameter of 1.200 cm at $20 \; ^{\circ}C$. What is the diameter of the hole when the plate is heated to $220 \; ^{\circ}C$? (The coefficient of linear thermal expansion for brass is $19 \times 10^{-6} \; ^{\circ}C^{-1}$)

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44#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  20.00 cm of space is availabyu 3j/2r vw2pkle. How long a piece of brass at $20 \; ^{\circ}C$ can be put there and still fit at $200 ^{\circ}C$? Brass has a linear expansion coefficient of $19 \times 10^{-6} \; ^{\circ}C^{-1}$.

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45#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 5.0-cm diameter steel shaft has 0.1w be*57s 8by0yc7 afdy0 mm clearance all around its bushing at $20 \; ^{\circ}C$. If the bushing temperature remains constant, at what temperature will the shaft begin to bind? Steel has a linear expansion coefficient of $12 \times 10^{-6} \; ^{\circ}C^{-1}$.

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46#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  $400 \; cm^{3}$ of mercury at $0 \; ^{\circ}C$ will expand to what volume at $50 \; ^{\circ}C$? Mercury has a volume expansion coefficient of $180 \times 10^{-6} \; ^{\circ}C^{-1}$.

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47#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  1 L of water at $20 \; ^{\circ}C$ will occupy what volume at $80 \; ^{\circ}C$? Water has a volume expansion coefficient of $210 \times 10^{-6} \; ^{\circ}C^{-1}$.

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48#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The volume coefficientio 9e9c29 hdc1rq-yvj of thermal expansion for gasoline is $950 \times 10^{-6} \; ^{\circ}C^{-1}$. By how much does the volume of 1.0 L of gasoline change when the temperature rises from $20 \; ^{\circ}C$ to $40 \; ^{\circ}C$?

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49#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 500-mL glass beaker of water is filled to the rhj837a/b xb fdde)m)-v u tt,dim at a temperature of $0 \; ^{\circ}C$. How much water will overflow if the water is heated to a temperature of $95 \; ^{\circ}C$? (Ignore the expansion of the glass and the coefficient of volume expansion of water is $2.1 \times 10^{-4} \; ^{\circ}C^{-1}$.)

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50#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  For mercury to expand frozaf0(c6 9l scjm $4.0 \; cm^{3}$ to $4.1 \; cm^{3}$, what change in temperature is necessary? Mercury has a volume expansion coefficient of $180 \times 10^{-6} \; ^{\circ}C^{-1}$.

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51#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A mercury thermometer has a bulb o:h6l flhx,c d-qeg 1dtf0 :2flf volume 0.100 $cm^{3}$ at $10 ^{\circ}C$. The capillary tube above the bulb has a cross-sectional area of 0.012 $mm^{2}$. The volume thermal expansion coefficient of mercury is $1.8 \times 10^{-4} \; ^{\circ}C^{-1}$. How much will the mercury rise when the temperature rises by $30 \; ^{\circ}C$?

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52#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Convert $14 \; ^{\circ}C$ to $^{\circ}K$.

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53#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Convert $14 \; ^{\circ}F$ to $^{\circ}K$.

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54#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Convert $14 \; ^{\circ}K$ to $^{\circ}C$.

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55#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Convert $14 \; ^{\circ}K$ to $^{\circ}F$.

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56#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Oxygen condenses into a liquxd44jf l vpwq z 111jz4bhm,d. -e)iqkid at approximately 90 K. What temperature, in degrees Fahrenheit, does thq,l -i.jx ) 14hbzdf1p jqdw1ke vm44zis correspond to?

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57#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An ideal gas occupies 300 L at an absolute pressure of 400 kPa. Findl(.ng*cy3lm dkf 2ey+ the absolute pressure if ly .f*3l(n kdg e2cym+the volume changes to 850 L and the temperature remains constant.

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58#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two liters of a perfect gas are yqzf 6 hrar751fcd7m2at $0 \; ^{\circ}C$ and 1 atm. If the gas is nitrogen, $N_2$, determine the number of moles.

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59#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two liters of a perfect gas a dwgj:glh/z5 w,:kvg:re at $0 \; ^{\circ}C$ and 1 atm. If the gas is nitrogen, $N_2$, determine the number of molecules.

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60#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Two liters of a perfect gas ax b2 xgn:4ul,are at $0 \; ^{\circ}C$ and 1 atm. If the gas is nitrogen, $N_2$, determine the mass of the gas.

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61#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  How many water molecules are there in 36 g of wat0;1mady;i by ser? Express your answer as a multipleb i;m0;1ady sy of Avogadro's number NA. (The molecular structure of a water molecule is $H_2 O$.)

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62#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  How many mol are there 0urj, usaf+ ih:s6;(8coz.iv1azju ain 2.00 kg of copper? (The atomic weight of copper is 63.5 and its specific grsi6 0zarvsa,h:iou 81uf.+ jaj (; zcuavity is 8.90)

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63#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A sample of a diatomit ykn9m56 e5tac ideal gas occupies 33.6 L under standard conditions. How many mol of gas 5t5kam9 n6y teare in the sample?

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64#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An ideal gas has a pressure of 2.5 atm, a volume of 1.0 L at a temper rrlk*)7acw i-ature of $30 \; ^{\circ}C$. How many molecules are there in the gas?

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65#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An ideal gas in a conta5v88v n*r kt)fonuw .siner of volume $100 cm^{3}$ at $20 \; ^{\circ}C$ has a pressure of $100 \; N/m^2$. Determine the number of gas molecules in the container.

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66#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A sample of helium (He) occupies 44.8 L at STP. What is the mass of theqs)dlz8c 9f.: )r yzfu sample?8f) :fyr qczu)9dz .sl

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67#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A 25-L container holds hydrogen gas at a gauge prl3k79srstvh 1:h q8vtessure of 0.25 atm and a temper3rt sq thv8hvk97ls:1ature of $0 \; ^{\circ}C$. What mass of hydrogen is in this container?

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68#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A $100-cm^{3}$ container has 4 g of ideal gas in it at 250 kPa. If the volume is changed to $50 \; cm^{3}$ and the temperature remains constant, what is its new density?

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69#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An ideal gas occupies - v,,tf doy4sf3;1;fvcaesx w $600 \; cm^{3}$ at $20 \; ^{\circ}C$. At what temperature will it occupy $1200 \; cm^{3}$ if the pressure remains constant?

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70#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A constant pressure gas thermometer is 82md:7k wtgmo:/ alda initially at $28 \; ^{\circ}C$. If the volume of gas increases by 10%, what is the final Celsius temperature?

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71#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An ideal gas occupies 409(mrnw d;tu9rk8 rqj.0 L at $20 \; ^{\circ}C$. What volume will it occupy at $40 \; ^{\circ}C$ if the pressure remains constant?

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72#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A balloon has a volul.f-eys .r qz7me of $1.0 \; m^{3}$. As it rises in the Earth's atmosphere, its volume expands. What will be its new volume if its original temperature and pressure are $20 \; ^{\circ}C$ and 1.0 atm, and its final temperature and pressure are -$40 ^{\circ}C$ and 0.10 atm?

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73#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A given sample of carbon dioxide qp c- kudv+s99($CO_2$) contains $3.01 \times 10^{23} \; molecules$ at STP. What volume does this sample occupy?

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74#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  $500 \; cm^{3}$ of ideal gas at $40 \; ^{\circ}C$ and 200 kPa (absolute) is compressed to $250 \; cm^{3}$ and cooled to $20 \; ^{\circ}C$

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75#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  $1500 \; cm^{3}$ of ideal gas at STP is cooled to -$20 \; ^{\circ}C$ and put into a $1000 \; cm^{3}$ container. What is the final gauge pressure?

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76#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An ideal gas has a densityo tw3, ssn:xfj(c7/xo jbd) 7i of $1.75 \; kg/m^{3}$ at a gauge pressure of 160 kPa. What must be the gauge pressure if a density of $1.0 \; kg/m^{3}$ is desired at the same temperature?

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77#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  An ideal gas has a volume u34 6a;bf z q5uvg-mmcof $0.20 \; m^{3}$, a temperature of $30 \; ^{\circ}C$, and a pressure of 1.0 atm. It is heated to $60 \; ^{\circ}C$ and compressed to a volume of $0.15 \; m^{3}$. What is the new pressure?

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78#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A mixture of gases contains 15 g of ob536 ej-x waq$H_2$, 14 g of $N_2$, and 44 g of $CO_2$. The mixture is in a 40 L sealed container which is at $20 \; ^{\circ}C$. What is the pressure in the container?

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79#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  What is the average separation bette1 +k- : )qwut7kqvbsween air molecules at STP?

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80#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  At what temperature is ti)ok ,,epx.q whe average kinetic energy of an atom in helium gas equal tewo,.qx k) ip,o $6.21 \times
10^{-21} \; J$?

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81#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  At what temperature would the rms speeihv qn7t c65:nd of $H_2$ molecules equal 11,200 m/s (the Earth's escape speed)?

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82#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A cylinder contains 16 g of helium gas at STP. How much energy is nee 0/vex(l)n 7iit vo9wwded to raiseevv w/w7o)ix90il(n t the temperature of this gas to $20 \; ^{\circ}C$?

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83#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  If the temperature of a gas ian7.wqavt 9cud 2qd52s increased from $20 \; ^{\circ}C$ to $40 \; ^{\circ}C$, by what factor does the speed of the molecules increase?

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84#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A molecule has a speed of 500 m/s at nmmwy ;4mrd65$20 \; ^{\circ}C$. What is its speed at $80 \; ^{\circ}C$?

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85#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The molecular mass of oxygen molecules is 32, and t y1c7xz r7gko,he molecular mass of nitrogen molecules is 28. If these two gases are at the same 7 kcgo1y, rx7ztemperature, the ratio of nitrogen's rms speed to that of oxygen is .

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86#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The molecular mass of nitrogen is 14 times greater2:pl6 i icx6 )tonfu adwu(i(: than that of hydrogen. If the molecules in these two gases have the same rms speed, the ratio of hydrogen's absolute tempera)u w ixp: n2c aft6i(u:o(ld6iture to that of nitrogen is .

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