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习题练习:Tools & Inquiries G.2 Mathematics Tools



 作者: admin   总分: 30分  得分: _____________

答题人: 匿名未登录  开始时间: 23年07月24日 13:33  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  
  A voltmeter reading is recorded as 100.0 V +/- 2%. Which of the following co4 qc e+c7p n hji5ar4u.x798qr kq)glvuld be the actual vaaip4hq4que+r5kg 7 9qj )n7xlc.r8 vclue?

I.98.0V
II.97.2V
III.101.3V

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2#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A student recorded the voluzgh, 1xr5irl y6ed9f)me of a gas as 0.04056m$^3$. How many significant figures does the recorded value have?

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3#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Which of the below features must be included in a sketk,qv q+woxr:k;0a uknasr0 7p- h8 d5fched graph?

I.Labelled axes
II.Scaled axes
III.Plotted points

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4#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  For the graph below, state the appropriate units fo x8b+y -d7svo)uwp jqdr-bi8/r the y-intercept.


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5#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Which statement best describes the relationsx26yh2 sf vug-c)sq6y+h /bgen2f )yrzrn-c 3hip between x and y on the graph below? x+h3 2y-)nsnr f)2 -eccsg2b6gq/v zhfryu6y



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6#
 
问答题 ( 1.0 分) 切至整卷模式 搜藏此题  
For a first order reaction, the relationshir ag;gg1g1z+jmy..ix )va.vw p between rate and the concentration of a reactant, [A], can be shown using the following equation: ry;w).gxjg g.rm az a1+i. vvg1ate =k[A].
The data below gives the rate information for the first order reaction that proceeds in the thermal decomposition of reactant A.



1.On the axes above, draw a graph based on the provided data.
2.The effect of time on the concentration of reactant B for a zero-order reaction was plotted on the graph below.

(i)Draw a line of best fit on the graph above.
2.Describe the relationship between time and concentration.
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7#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Which of the below gives thoptmga17., a ee correct units for the gradient of this line?


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8#
 
填空题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A student is measuring the temperature change of an endothermic reacv6 z4,ala i t7ot8t:mmtion.
Calculate the temperature change and identify the corresponding error.



Temperature decrease:  $^{\circ}C$$\pm$  $^{\circ}C$

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9#
 
填空题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The relationship between pressure and temperature of) 4*)jlyn hio9hckkv6dxbxk)x1 -ps ) a known volume and amount of gas can be described using Gay-Lussac’s law which states that pressure is dir vybnk 9 *c)k6)o-)dj4)xi1 xp kxhlhsectly proportional to temperature.P∝T
Where P is pressure in Pa, and T is temperature in K.




1.On the axes above, sketch the graph of P∝T.

2.State two features that would need to be added to your sketched graph to turn it into a drawn graph.

3.The proportionality can be shown in an equation by incorporating a constant, k. The equation becomes P=kT, and follows the format of the equation of a straight line.

3.1.State the feature of a straight line that k represents in this context.
The feature is   .
3.2.Deduce the y-intercept of the straight line.
it is   (Pa).

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10#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  What is the value for the gradient of the graph below wjd) e1znbkn:/t tq- )esc8h n,ith the correct units?



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11#
 
填空题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A given mass of magnesium was added to 500cm$^3$ of aqueous hydrochloric acid in a Styrofoam cup to form magnesium chloride. The temperature at the start was 18$^{\circ}C$ and and after the magnesium had dissolved, the temperature rose to 20$^{\circ}C$.
1.State a balanced chemical equation for this reaction.
2.Given that the change in enthalpy,ΔH is 0.185kJ and the specific heat capacity of water is 4.18J g$^{-1}$K$^{-1}$,calculate the mass of magnesium added to the hydrochloric acid.
m=  g
3.Determine the systematic errors caused by the use of styrofoam cups.

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12#
 
问答题 ( 1.0 分) 切至整卷模式 搜藏此题  
Solid sodium carbonate reacts with excess nitric acid of 0.1 mol dm$^{-1}$ as shown in the equation below:
$Na_2CO_3$(s)+2$HNO_3$(aq) → $H_2O$(l) +$CO_2$(g)+2$NaNO_3$(aq)
1.State a method to measure the rate of reaction other than measuring the volume of gas collected.
2.1.Sketch a graph to show the volume of gas produced over time.
2.2.Explain the shape of your graph using the collision theory.


3.On the same graph as in part(bi), sketch another line to show the volume of gas collected over time at a concentration of 0.05 molcdm$^{-3}$ of nitric acid and label it as X.


4.Suggest and describe a factor other than the concentration that can affect the rate of the above reaction.
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13#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Which statement best describes the relations/ xm0fvfgxl j6rc*n/*hip between the rate and H$^+$ oncentration, in a graph with the equation: rate =k[H$^+$]$^2$?

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14#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  In a first order reaction, the co+xv7t * zd3pzwyh)/vfncentration [A] of a given reactant can be determined at7)+*z f pzv/3y thxdwv time t, according to the equation below, where [A]$_o$ is the initial concentration of A and k is the rate constant.
ln[A]=-kt+ln[A]$_o$



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15#
 
填空题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The enthalpy of neutralizatiopj(u6jy hh43vj-+5 hq5y baodik 3o zx;jnn3 5n for the reaction between sulfuric acid and potassium hydroxide can be determined experimentally. (y 4-hzvxbnj+kon65ij jo3;pdajuh5h 335qy
$H_2SO_4$(aq)+2KOH(aq)→$K_2SO_4$(aq)+2$H_2O$(l)
A student recorded the temperature of 20.0cm$^3$ of 0.500 mold m$^{-3}$
sulfuric acid every minute. At four minutes,25.0cm$^3$KOH(aq) is added to the solution, stirred immediately, and temperature recorded for another four minutes. The results are represented in the graph below.

1.Calculate the lowest concentration of aqueous KOH that must be used to ensure it is in excess.
C$_{KOH}$=  mold m$^{-3}$
2.Use the graph above to estimate a value for the maximum temperature change,ΔT.
ΔT=  $^{\circ}$
3.State one assumption you made in part (b).
4.Identify the anomalous result and suggest a possible type and source of error.
5.In another experiment with the same reactants, the student measured the initial and final temperatures and presented their results below:
Initial Temperature ($^{\circ}$C $\pm$$^{\circ}$C) 24.8 25.1 24.9
Final Temperature($^{\circ}$C $\pm$$^{\circ}$C) 26.4 26.6 26.4
1.Calculate the average change in temperature (ΔT)giving its percentage uncertainty.
Average=  $^{\circ}$C; Absolute uncertainty=$\pm$  $^{\circ}$C; Percentage uncertainty=  %
2.Use sections 1 and 2 of the data booklet to calculate the energy released and its uncertainty. You may assume that the only source of uncertainty is from the temperature change.
Energy released (q)=  J;Uncertainty=$\pm$  J

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16#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Determine the type of variable and c m38 fqhb6-cc7 kchwx2orrect axis for ΔH in a graph to show how ΔH is affected by the length7 b 86 xwccmc2hfk3qh- of the carbon chain.

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17#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The initial mass of a mortar cont7+3zh t vq u:a2urm5lzaining a solid was recorded to be 109.34 g. The mortar was heated, and the final mass was recorded to be 81.92 g. What value should be recordeu+ rz5 73ma :qthuz2lvd for the mass lost in grams?

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18#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The half-life of a second order 5y8ovbu re s k4:cga8/reaction can be expressed according to the equation be8/r c:ukgsyo5bea8v4 low.
t$^{$\frac{1}{2}$}$=$\frac{1}{k[A]_0}$
Where t$^{\frac{1}{2}}$ =half-life,[$[A]_0$]= initial concentration of reactant A,and k is a constant.
Which two variables plotted against each other would produce a straight line?
I.t$^{\frac{1}{2}}$ VS $\frac{1}{k}$
II.t$^{\frac{1}{2}}$ VS $[A]_0$
III.t$^{$\frac{1}{2}$}$ VS $\frac{1}{[A]_0}$

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19#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A piece of sodium mekpiv*uspnty1 /ce/qm iq6)x(p+ ab);tal has a mass of 13.02 g and a volume of 13.4 cm$^3$. What is the most precise density that can be reported?

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20#
 
问答题 ( 1.0 分) 切至整卷模式 搜藏此题  
1.State the complete balanced (lcrdf 75/ euzequation for the reaction between sulphuric acid and copper (II) (rdc ez57luf/oxide.
2.State the complete balanced equation for the reaction between ethanoic acid and potassium carbonate.
3.Outline two ways to monitor the rate of reaction for reaction (b) above.
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21#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The relationship between energy, E, and wavelength, λ, is shown according to telhu4y ) e+jr*he equation l r* +eh4eujy)below.
E=$\frac{hc}{λ}$

Which of the below statements are correct for the graph below representing E=$\frac{hc}{λ}$?
I.Energy and wavelength are directly proportional
II.The units for the gradient are J m$^{-1}$
III.The y-intercept has the units J

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22#
 
填空题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The feasibility of a reaction p:u)fj zlx(m l8 zugb./roceeding spontaneously can be predicted using the following equatifuzbx.l:l8m u(zgj / )on:
ΔG=−TΔS+ΔH.
Where ΔG is the change in Gibb’s free energy, ΔS is the change in entropy, and ΔH is the change in enthalpy.




1.When ΔG<0, a reaction can be described as spontaneous. Use the graph above to deduce the lowest temperature at Read graph at which the reaction becomes spontaneous.
Read graph at ΔG=0,  K.
2.Calculate the gradient of the line and state its units.
3.Use your answer to part (b) to deduce the value and correct units for ΔS.
ΔS=  kJ mol$^{-1}$K$^{-1}$
4.Use the graph to determine the value for ΔG when the temperature is raised to 675K.
5.Calculate a value for y-intercept and state the correct units.
Substitution of (x,y) values and slope into equation with correct evaluation=  .(c=)

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23#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The potential of a cell under non-standard conditions 5l h*4-xp snu(twh +wecan be calculated using the Ner w5-hx*n+4lwhtpsu ( enst equation:
E=E$^θ$=$\frac{RT}{nF}$ln$_Q$
For the graph below, which components of the equation represent the gradient and the y-intercept?


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24#
 
填空题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The relationship between the concentration of a reactant, A, and the time, fp/agd;v y.a8mkkb1 .aor a second-order reaction can bvypkkd/m ..bg8;a1a ae expressed using the equation below:
$\frac{1}{[A]}$=kt+$\frac{1}{[A]_o}$
Where [A] is the concentration of reactant A,$[A]_o$,is the initial concentration of reactant A,t is the time in seconds, and k is a constant.

1.Calculate the gradient of the line and state the correct units.
2.Use the graph to determine $[A]_o$ (also known as the initial concentration of A)
$[A]_o$=  mol dm$^{-3}$
3.Determine the time at which the concentration of A is equal to an eighth of its initial concentration.
(If you were unable to complete parts (a), and (b), you may use k=0.02, and $A_o$=42)
[A]=  mold m$^{-3}$;Substitute and rearrange:  seconds

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25#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  Which of the below gives the correct average titre with da2 jfne ivik8*o :m7uxe5 zcv -/0l/nits uncertainty?
Initial volume $\pm $0.05 c m$^{3}$ 0.00 23.15 0.00
Final volume $\pm $0.05 c m$^{3}$ 23.15 46.25 23.20

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26#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The length of a thread was being meas7my jv5-6 4 coja*v3fkki3gr iured using a 50 cm wooden ruler with a 1 mm increment. The reading for the beginning of the thread was 12.6 cm gr7 ofyivmkc4ja33 -k5iv6j *while the reading for the end of the thread was 45.3 cm. Which of the following is the largest possible length of the thread?

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27#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  The ideal gas equation allows pressure to be calculated according x5 4ts *keiz4 sh49pvito the equatioixs th4sz*ek59ip4v4n,
P=$\frac{nRT}{V}$.
This allows a straight line to be drawn for the effect of $\frac{1}{V}$ on P.

For the sketched graph above, which components of the equation P=$\frac{nRT}{V}$,relate to the gradient and
y-intercept of the straight line?

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28#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A student recorded the mass of solid NaCl as v:x4 grcpttn( f7+:ie 1200 g. Which of the following is correct about the number of si+v4(ri: ftg7tnpce: xgnificant figures recorded?

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29#
 
单选题 ( 1.0 分) 切至整卷模式 搜藏此题  
  2.00 ± 0.02 g $NaClO_3$ were dissolved in 2.0 ± 0.5 dm$^3$ distilled water.

Which row gives the correct concentration in gd m$^{-3}$ and relative uncertainty?

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30#
 
填空题 ( 1.0 分) 切至整卷模式 搜藏此题  
  A student is measuring the density of a soljd+uwwz :n/a;15*h lm eob40rwwmo y3ution. He recorded the data in the followzlwh ow*mym+ ena:35d;o4wrb0 uw1/jing table.

1.Write the expression of the average density of the solution in a fraction form (make sure to include the absolute uncertainties for each physical quantity).
2.Calculate its corresponding uncertainty. Show your work clearly.
   $\pm$    %

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