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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( wntn+y5ty iq 5p+g;r following could be5n 5+pntrtwqyy;(g i+ the actual value?

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 volume of a gas as 0.040560jyik)12o7rd7j my rt m$^3$. 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 qk+6+iue zpn2r8j s1j be included in a sketched 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 for the 3sljsz nl r+xa3jy.( .:wvcg1y-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 relationship between xij/tqs+hzld 4(q74 fva m(-h v and y on the graph below?7+ (vfhq44/dli zvtq-s(hjm a



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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 relationship between ra mq.skl7g ;-ju/ o5mxlte and the concentration of a reactant, [A], can be shown using the following m xgsk-q7u5llj m /.;oequation: rate =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 the correct units for the gradient of thisaug3.pph; 0k+lr:04yx tgut i s8c2xr 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 changea . otsp39rvdk0vm3n0 4c6 )uttmm -ep of an endothermic reaction.
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 a known volume and uvgrs/ c+3+ u9hlyp6s amount of gas can be described using Gay-Lussac’s law which states that pressure is directly pr+sl9h/usyvp3 u6gc+r oportional 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 gradie)lrg0 , pc;kv qu68okew 0ujk5nt of the graph below with 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 relationship 3g4op:ejbf3 sbetween 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 concentration [A] of a given reactant can be dh- w3y9exah(c/0lw bn etermined at time t, according to the equation below, wher0wx-wlnby9 3 hhe/ac(e [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 neutralization for the reaction between sulful-1bfpvwaz (b y +ia08ric acid and potassium hydroxide can be determined experimentally. ia wp-v8 z1+0faly(bb
$H_2SO_4$(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 andu8*ox-*o +g 3 1o;kjkh0foa yjjmae s2 correct axis for ΔH in a graph to show how ΔH is affected by the length of the carbon ;2og* koaj -8 sojy 3+e1hofuxa*kj0mchain.

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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 mort.d;k-d2t3fx f+j aaf jar containing a solid was recorded to be 109.34 g. The mortar was heated, and the final mass was recorded to be 81.92 g.f af xd3-+a;kj.tj d2f What value should be recorded 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 re-- nbs v s2ldri2j1yr7action can be expressed according to the equation bilynr-2v2dssb 1 7 rj-elow.
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 metal has a mass of 13.02 g anx -o vhi9;br)rd 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 equation for ffk3 xn6rep8u2z ,fdzx (13l kthe reaction between sulphuric acid and copper (II) oxide2, 36zru1 e(fdfzk klxp3x8nf.
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 thfbd1ea2nd8t ()t* bupe equafn8bu*pd1te)2ba( tdtion 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 proceeding spontaneously can be predicted using :wqnh 3v) pig,the following equgni p3:qwvh ,)ation:
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-standaroq s-ekooyf-03k4: 3n-by sza d conditions can be calculated using the Nernst equation: 04ksoe-3-aynf:bsqo -zy ko3
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 react 44edhw 9nnw0yant, A, and the time, for a second-order reaction cn04d 9whenwy 4an be 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 givelui90-bz k(u j5/ttu zs the correct average titre with its 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 measured using a 50 cm woode5 x ep65ytd 4 2b-5rkztzu4 pe*0cmhrsn ruler with a 1 mm increment. The reading for the beginning of the thread was 12.6 cm while the reading for the end of the thread was 45.3 cm. Which of pcrpth40z52 be ksd 46ut55m re* zxy-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 to the equationpm gt4)rj u91gcfj )*njucgrmp j1g *)f) 94tn,
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 abgt8dj/gd);w s 1200 g. Which of the following is correct about the number of signif 8b );wjd/tggdicant 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 solution. He recorded the data in (pc:xn v;tx :wthe following tab(twcx:; vx:np le.

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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