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习题练习：Physics Unit13: Temperature and Kinetic Theory
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 作者: admin    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 thermodynam5h0e22+2g2 vqygv kc am1brzxics.
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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 :.s-3r dwi67ea.pdmddj l + ovand metal H on the bottom, is rigidly attached to a wall at the left. (See Fig. 13-1.) The coefficient of linear thermal expansionv i-am.:sdep +3djo7dd.l w r6 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 cako k9g9pg /xv6r heats up, the spark 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 plaosnmpe(4i4 hfeb 7j (ivf7 4m/te with a hole through its center as shown in Fig. 13-2. When the plate's temperature is im4vn7fp47i4/ mf (eho eis (jbncreased, 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 l pq3jype6 - 4o8pxyo4 f3-gqridw3)txinear expansion 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 temperxa/zv1zqjf3o9l 0a 5m mv1m -pature on a large, deep 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 ne sioep.9 2n23 l+ ozoxg:vcfky22xi k7gative temperatures?

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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 ag x.m7igawr3mo 2h0,yre equivalent?

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9#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The temperature in yl7vu4bg a j3*-*kz,zaxaj 5pmour classroom is approximately

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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.3,x(qkwl ; kns
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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. gxma8t.,w/k6erag ) cy b/z9v
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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 idevr2 fpr y t1*vs*cx/9xal gas at 1 atm is compressed to one-third its volume, with the temperatur2cvx* y vprr9tf*x 1/se held 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 gas at constantu8a 9t z4o3s gnh s4rzd d8(dh,tlcw28 temperature is tripled, its volume tzwd 8nl8 44g2thdszo3d 89 (r,casuh is

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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 gas Law, PV = constant for a given temperatur2u1cam +0k qvbe. As a result, an increase in volume corresponds tum0 bcaqvk +21o 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 oneh b1zn0 4ksx1s mole of a substance

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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 idea -.q0sg1muw m-ccyr/ cl gas at a given temperature. If the number of molecules in the c-. ccyms/mgu 0r1q cw-ontainer is increased to 2N with no change in 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 and volume of a given sample of an ideal gas double. Th7 zdq3*xk bx ,a1wvy;qis means that its temperaturwv yq1*dzk;,qxa 37 xbe in Kelvin must

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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 ideal gas increases fromn)4. bi8 fmr2mlpid -1rqmx v7 $2 \; ^{\circ}C$ 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 oxygen molecules 7 gr 1z3zd:mgnand a mole of diatomic nitrogen molecules at STP d1rngmzzg 3: 7have

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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 at a oy*btx7e bm8: given temperature and pressure. One gas, oxygen, has a molecular mass of 32. The other gas, nitrogen, has a mol7t*8mxo:b ybe ecular mass of 28. What is the ratio of the number of oxygen 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 molecular kinetic energy of a gas cadav rh/4hrmb +ez-4(a n 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 compressed 9w y gpsz w:8xlhyf(h/;,( uapto one-half its original volume with no change in temperature. What happens(gl:ah zp(s 8/ yh ;y,w9xfupw 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 Kelvinb uv (u+qb)r:s temperature doubles. What happens to the average speed of the molecules in trbbquu( v) s+:he sample?

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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 whic07cj jflj2abvbn4f3k;sh 3 b 8h of the follvkbnsb j2cj0h37 f3a8lj f;b4 owing?

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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 the molecules in a given sample +m7vot; d/oa eof gas, the temperatura+t ooe7md ;v/e (measured in Kelvin) must

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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 molecules. Atf3ntz*4e*/ ta zkkxz 3 a given temperature, the average molecular z a xkztke/334*n*zftkinetic energy of oxygen, 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 morerjzilj w-rw,/54*3f:szvet 8fnt bk 4 massive than hydrogen molecules. At a given temperature, how do their avn,t sl8t/rv-:ezjk54bw i j*f3rz f4werage molecular speeds compare? The 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 holt m)sixno0uxh*mdm5q5 34ji5ds oxygen and helium gases at the same temperature. Which one of the following statements is correcqtu3i5)h0 o45sxidxmjm5 *n m t?

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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 withihpr.d5l,ey3 wmuz o20;jw. u a mixture of helium and oxygen gases. A thermometer in the container indicates that the temperature ishpmu.e,oyj. 2 5r u idzw0w;3l $22 \; ^{\circ}C$. 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 of helium and oxr4p+)oze-p 0 5hz(l f 5deybsxygen gases. A thermometer in the conted rsz (x04zofye5lbpp+)5-hainer indicates that the temperature 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 matter can exlnhnugw 21g ps*3u0h 5ist 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 ij(uy9 h)vgcp; e3otqk .,jq9jn 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 tempero5cht:qm hivp2 * p,9wature ($98.6 \; ^{\circ}F$) 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 from 35eF during the night t8nwz ysfu1 3.wo $75 \; ^{\circ}F$ 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;cr5wr *o/m k r;tm2on $20 \; ^{\circ}C$ 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 Fahrenheit and Celsil, lx(hcs*5a nwf(jp7 us scales t(n 5f(chpjl,wsxl7*a he 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 1009t7 a5mc0z js;n txk2k0 m 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 m e)sqjl8l;w3cm long 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 slab of concrete 18 m k8m (z2 o1ikh+3vnrcalong contract when the temperature drops from r3kn(cia +k2v1 zh mo8$24 \; ^{\circ}C$ 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 has a diu h ly1wvp(1r*ameter 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 availa+jr 8 sj2bb8wtr*)jld ble. 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 suw1)y x9c jrx8haft has 0.10 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 coefficient of thermal expansion fokij b:n3z08pi ,dd+bjr 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 rim at a temperature oy*z7m 39stw0,pcxg p ef $0 \; ^{\circ}C$. 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 f9 ;3 ju2usb-4kes 1bzwpn aj-wrom $4.0 \; cm^{3}$ 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 of v n52(f*tzuqym gm o0fjff9(+ :-fbyttolume 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 liquid at approximatelfmo6hd9)a w b5y 90 K. What temperature, in degrees Fahr o 6m)ahf9wd5benheit, does this 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 press*e+a * )9lz)mglqpo hpure of 400 kPa. Find the absolute pressure if the volume changes to 850 L and the m+llepo ))q*ap9g *hztemperature 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 ar1no uw1 *w: o35xyzelte at $0 \; ^{\circ}C$ 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 areo0ji,ojc+625ja 87qo fknbfz 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 g*kxyx0w j6m1;gu *) 4cu22gvbth aroras 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 water? Expresbqz x,/3n yht)s your answer as a multiple of3z ,qt)byn /hx 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 in 2.00 kg of copper? (The atomic weight ofcf(mb1 xpadl 8p1 7i2g copper is 63.5 and its specific gravi(fp11 cm8il g7px2bad ty 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 diatomngxxn) ow6 pia9g3p9 ,ic ideal gas occupies 33.6 L under standard conditions. How many mol of gas gwn i),xp3 n96g 9opxaare 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 pressurevq pokf ulw n7 m5 (l9j3()* ,fzrogauxee.:y) of 2.5 atm, a volume of 1.0 L at a temperature 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 container of id+ ve /je+;rwvolume $100 cm^{3}$ 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 2nd;)cmsa :uk0t q t9q j nn1t*p7a5we44.8 L at STP. What is the mass of the sample?upt: k5e0t21dn qm) tqj9w*cann 7 as;

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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 pressure of 0.25 atnm m-o04h en,ok.o*drm and a temperature h* k4dmn.- o0eonmor,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 occupie3xz7y* 9toagd fk z(* eyi4-tqf 7mof2s $600 \; cm^{3}$ 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 gb ,i t vx6zx3,e/aq;qgas thermometer is 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 4.0 L at96 t:llyr(ohm $20 \; ^{\circ}C$. 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 volume ;g paon7jyet.i z8 e1 7uo*bl)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 carbo-oa )zjw++bjhfbln 0+ .dds1m*gt.qfn dioxide ($CO_2$) 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 density of xb.w i8l:+ o ymh085pw5tppeb$1.75 \; kg/m^{3}$ 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 o0+qk i; n9efenf ub,(bf $0.20 \; m^{3}$, 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 ofinvz08:((v6;r xdxgx: es rm n $H_2$, 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 between air molecules b;pku0mk+n( l b ;-dh3 qly9ohat 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 the average kiv1y-3jvn llnq (8d 2benetic energy of an atom in helium gas equal to njn ll(2d 8v3bv-qey1 $6.21 \times
10^{-21} \; J$?

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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-f0lw2/esjmu speed 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 h e7 umi(l.co(pelium gas at STP. How much energy is needed to raise the temperature of this gasm p.l7cuio((e 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 ga.u/r+-tr6c ag 3p szoks is 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 544dfygq/ft 5t00 m/s at $20 \; ^{\circ}C$. 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 the molecular mass of nita z-q (8xzg0qzrogen molecules is 28. If these two gases are at the same temperature, the ratio of nitrogen's rms speed to that of oxzg-x0qaz q8z( ygen 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 greater thaaj4p9 o*n2d l1 gk s+vy4i-ptwn that of hydrogen. If the molecules in these two gases have the same rms speed, the ratio of hydrogen's absolute temperature to that of ni2 -yoi14k jglsnd4*pav9 tw+ptrogen is .

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