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Reactivity 1 · What Drives Chemical Reactions?Reactivity 1 · 化学反应的驱动力是什么?

Thermochemistry & Spontaneity热化学与自发性

IB-Style Practice Questions — Reactivity 1.1–1.4IB 风格练习题 —— 覆盖 Reactivity 1.1–1.4

EASY MEDIUM HARD Paper 1 Paper 2 Paper 3 HL HL

Topics Reactivity 1.1 – 1.4考点 Reactivity 1.1 – 1.4HL



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PART I  ·  PAPER 1第一部分  ·  第一卷No calculator · multiple choice · 7 marks不可使用计算器 · 选择题 · 7 分

Multiple Choice选择题

Each item carries 1 mark. No calculator, no data booklet. Items tagged HL test content beyond the standard-level syllabus (entropy, Gibbs energy, Born–Haber cycles).每题 1 分。不可使用计算器与数据手册(data booklet)。标记 HL 的题目考查超出标准级别(SL)大纲的内容:熵(entropy)、吉布斯自由能(Gibbs energy)、玻恩-哈伯循环(Born–Haber cycle)。

Q1EASY Paper 1 1.1 Exo/Endo Signs [1]

Which combination of observations correctly describes an exothermic reaction?下列哪一组描述正确对应一个放热反应?

Q2MEDIUM Paper 1 1.1 Calorimetry Sign [1]

In a calorimetry experiment, the temperature of the water surrounding a reaction vessel increases. Which statement correctly gives the sign of $\Delta H$ for the reaction, with the correct reason?在一次量热实验中,反应容器周围的水温升高。下列哪一项正确给出了反应 $\Delta H$ 的符号及其理由?

Q3MEDIUM Paper 1 1.2 Bond Enthalpy Direction [1]

Using average bond enthalpies, the enthalpy change of a reaction is calculated as用平均键能计算反应焓变时,正确的表达式是

Q4MEDIUM Paper 1 1.2 Hess's Law: Combustion Data [1]

Using standard enthalpies of combustion, $\Delta H^\ominus$ for a reaction is correctly calculated as用标准燃烧焓计算反应的 $\Delta H^\ominus$ 时,正确的表达式是

Q5MEDIUM Paper 1 1.3 Incomplete Combustion [1]

Which statement best explains why larger hydrocarbon molecules are more prone to incomplete combustion than smaller ones, under the same oxygen supply?在相同供氧条件下,为何较大的烃分子比较小的烃分子更容易发生不完全燃烧?下列哪一项解释最合理?

Q6MEDIUM Paper 1 1.3 Fuel Cells [1]

Which statement about hydrogen fuel cells is correct?关于氢燃料电池,下列哪一项陈述是正确的?

Q7HARD Paper 1 HL 1.4 Entropy Prediction [1]

For which of the following reactions would $\Delta S^\ominus$ be expected to be most positive?下列哪个反应的 $\Delta S^\ominus$ 预期最正(增大最多)?

PART II  ·  PAPER 2第二部分  ·  第二卷Calculator + data booklet · structured response · 43 marks可使用计算器与数据手册 · 结构化解答题 · 43 分

Structured Response结构化解答题

Show all working in the space provided. Marks for correct method are awarded even if the final numerical answer is wrong. State units and significant figures appropriately.在指定区域写出全部解题过程。即便最终数值错误,方法正确仍可得分。注意单位与有效数字(significant figures)。

SR 1MEDIUM Paper 2 1.1 Calorimetry + Hess's Law [14]

A student determines the enthalpy of combustion of ethanol using a spirit burner to heat water in a calorimeter. A mass of $200.0~\mathrm{g}$ of water is heated from $21.0~\mathrm{°C}$ to $47.5~\mathrm{°C}$. The spirit burner (with ethanol) has mass $87.42~\mathrm{g}$ before burning and $86.57~\mathrm{g}$ after burning.某学生用酒精灯燃烧乙醇加热量热计中的水,以测定乙醇的燃烧焓。$200.0~\mathrm{g}$ 水从 $21.0~\mathrm{°C}$ 升温至 $47.5~\mathrm{°C}$。酒精灯(含乙醇)燃烧前质量为 $87.42~\mathrm{g}$,燃烧后为 $86.57~\mathrm{g}$。

(a) Calculate the heat absorbed by the water, the amount (in mol) of ethanol burned, and hence the experimental enthalpy of combustion of ethanol, $\Delta H_c^\ominus(\mathrm{exp})$, in $\mathrm{kJ\,mol^{-1}}$. ($c(\mathrm{H_2O}) = 4.18~\mathrm{J\,g^{-1}\,K^{-1}}$; molar mass of $\mathrm{C_2H_5OH} = 46.08~\mathrm{g\,mol^{-1}}$)计算水吸收的热量、燃烧的乙醇的量(单位 mol),并求出乙醇的实验燃烧焓 $\Delta H_c^\ominus(\mathrm{exp})$(单位 $\mathrm{kJ\,mol^{-1}}$)。($c(\mathrm{H_2O}) = 4.18~\mathrm{J\,g^{-1}\,K^{-1}}$;$\mathrm{C_2H_5OH}$ 摩尔质量 $= 46.08~\mathrm{g\,mol^{-1}}$) [4]
(b) The data-booklet (theoretical) magnitude of $\Delta H_c^\ominus$ for ethanol is considerably larger than the experimental value from part (a). Suggest three distinct reasons for this discrepancy.数据手册(理论值)给出的乙醇 $\Delta H_c^\ominus$ 大小远大于 (a) 中的实验值。请提出三个不同的原因来解释这一差异。 [3]
(c) Given $\Delta H_f^\ominus(\mathrm{C_2H_5OH,\,l}) = -278~\mathrm{kJ\,mol^{-1}}$, $\Delta H_f^\ominus(\mathrm{CO_2,\,g}) = -394~\mathrm{kJ\,mol^{-1}}$, and $\Delta H_f^\ominus(\mathrm{H_2O,\,l}) = -286~\mathrm{kJ\,mol^{-1}}$, use Hess's law to calculate the theoretical $\Delta H_c^\ominus$ of ethanol for $\mathrm{C_2H_5OH(l)} + 3\mathrm{O_2(g)} \rightarrow 2\mathrm{CO_2(g)} + 3\mathrm{H_2O(l)}$, and compare it (as a percentage difference) with your answer to (a).已知 $\Delta H_f^\ominus(\mathrm{C_2H_5OH,\,l}) = -278~\mathrm{kJ\,mol^{-1}}$,$\Delta H_f^\ominus(\mathrm{CO_2,\,g}) = -394~\mathrm{kJ\,mol^{-1}}$,$\Delta H_f^\ominus(\mathrm{H_2O,\,l}) = -286~\mathrm{kJ\,mol^{-1}}$,用盖斯定律计算反应 $\mathrm{C_2H_5OH(l)} + 3\mathrm{O_2(g)} \rightarrow 2\mathrm{CO_2(g)} + 3\mathrm{H_2O(l)}$ 的理论 $\Delta H_c^\ominus$,并与 (a) 的结果比较(给出百分比差异)。 [4]
(d) Suggest one modification to the apparatus that would reduce heat loss to the surroundings, and briefly explain why it works.建议一项能减少向环境散热的装置改进,并简要说明其原理。 [3]
SR 2HARD Paper 2 HL 1.4 Entropy + Gibbs Energy + Equilibrium [14]

Dinitrogen tetroxide dissociates according to: $\mathrm{N_2O_4(g)} \rightleftharpoons 2\mathrm{NO_2(g)}$, $\Delta H^\ominus = +57.2~\mathrm{kJ\,mol^{-1}}$. Standard entropy values: $S^\ominus(\mathrm{N_2O_4,\,g}) = 304~\mathrm{J\,K^{-1}\,mol^{-1}}$, $S^\ominus(\mathrm{NO_2,\,g}) = 240~\mathrm{J\,K^{-1}\,mol^{-1}}$.四氧化二氮按下式解离:$\mathrm{N_2O_4(g)} \rightleftharpoons 2\mathrm{NO_2(g)}$,$\Delta H^\ominus = +57.2~\mathrm{kJ\,mol^{-1}}$。标准熵值:$S^\ominus(\mathrm{N_2O_4,\,g}) = 304~\mathrm{J\,K^{-1}\,mol^{-1}}$,$S^\ominus(\mathrm{NO_2,\,g}) = 240~\mathrm{J\,K^{-1}\,mol^{-1}}$。

(a) Calculate $\Delta S^\ominus$ for the reaction as written.计算上述反应的 $\Delta S^\ominus$。 [3]
(b) Calculate $\Delta G^\ominus$ at 298 K. Comment on whether the forward reaction is spontaneous at this temperature.计算 298 K 时的 $\Delta G^\ominus$,并说明正反应在此温度下是否自发。 [3]
(c) Calculate the temperature above which the forward reaction becomes spontaneous.计算正反应开始变得自发所需的最低温度。 [3]
(d) Using $\Delta G^\ominus = -RT\ln K$ and $R = 8.314~\mathrm{J\,K^{-1}\,mol^{-1}}$, calculate the equilibrium constant $K$ at 298 K. State whether reactants or products are favored at 298 K, and explain how your value of $K$ is consistent with your answer to (b).用 $\Delta G^\ominus = -RT\ln K$($R = 8.314~\mathrm{J\,K^{-1}\,mol^{-1}}$)计算 298 K 时的平衡常数 $K$。说明 298 K 时是反应物还是产物占优,并解释你所得的 $K$ 值如何与 (b) 的结论一致。 [3]
(e) State one reason, in terms of particles and disorder, why $\Delta S^\ominus$ for this reaction is positive.从粒子数与混乱度的角度,说明该反应 $\Delta S^\ominus$ 为正的一个原因。 [2]
SR 3HARD Paper 2 1.2 Bond Enthalpies vs Formation Data [15]

Consider the complete combustion of propane in the gas phase: $\mathrm{C_3H_8(g)} + 5\mathrm{O_2(g)} \rightarrow 3\mathrm{CO_2(g)} + 4\mathrm{H_2O(g)}$.考虑丙烷在气相中的完全燃烧:$\mathrm{C_3H_8(g)} + 5\mathrm{O_2(g)} \rightarrow 3\mathrm{CO_2(g)} + 4\mathrm{H_2O(g)}$。

BondC–CC–HO=OC=OO–H
Bond enthalpy (kJ mol⁻¹)键能(kJ mol⁻¹)346414498804463
(a) Using the average bond enthalpies given, calculate $\Delta H$ for this reaction. Show clearly the bonds broken and the bonds formed.用给定的平均键能计算该反应的 $\Delta H$。清楚列出断裂的键与形成的键。 [5]
(b) Given $\Delta H_f^\ominus(\mathrm{C_3H_8,\,g}) = -104~\mathrm{kJ\,mol^{-1}}$, $\Delta H_f^\ominus(\mathrm{CO_2,\,g}) = -394~\mathrm{kJ\,mol^{-1}}$, and $\Delta H_f^\ominus(\mathrm{H_2O,\,g}) = -242~\mathrm{kJ\,mol^{-1}}$, calculate $\Delta H$ for the same reaction using standard enthalpies of formation.已知 $\Delta H_f^\ominus(\mathrm{C_3H_8,\,g}) = -104~\mathrm{kJ\,mol^{-1}}$,$\Delta H_f^\ominus(\mathrm{CO_2,\,g}) = -394~\mathrm{kJ\,mol^{-1}}$,$\Delta H_f^\ominus(\mathrm{H_2O,\,g}) = -242~\mathrm{kJ\,mol^{-1}}$,用标准生成焓计算同一反应的 $\Delta H$。 [4]
(c) Compare the two values obtained in (a) and (b). Explain briefly why they are not identical, referencing the nature of "average" bond enthalpies.比较 (a) 与 (b) 所得的两个值。结合"平均"键能的本质,简要解释二者为何不完全相同。 [3]
(d) $\Delta H_f^\ominus(\mathrm{C_3H_8,\,g})$ cannot be measured directly, since carbon and hydrogen do not react cleanly to form propane. Using Hess's law, suggest how $\Delta H_f^\ominus(\mathrm{C_3H_8,\,g})$ could instead be determined indirectly from combustion data. Give the general expression in terms of enthalpies of combustion.碳与氢气不能干净地直接反应生成丙烷,因此 $\Delta H_f^\ominus(\mathrm{C_3H_8,\,g})$ 无法直接测量。利用盖斯定律,说明如何用燃烧焓数据间接求出 $\Delta H_f^\ominus(\mathrm{C_3H_8,\,g})$。写出以燃烧焓表示的一般表达式。 [3]
PART III  ·  PAPER 3 HL第三部分  ·  第三卷 HLCalculator + data booklet · data-based · 30 marks可使用计算器与数据手册 · 数据题 · 30 分

Data-Based Questions (HL)数据题(HL)

These questions test the experimental skills and data analysis associated with Reactivity 1. Higher-level students should attempt all parts.本部分考查与 Reactivity 1 相关的实验技能与数据分析能力。HL 学生应作答全部小题。

P3-1HARD Paper 3 HL 1.3 Fuels, Energy Density & Emissions [15]

A team compares two liquid fuels, methanol and octane, as candidates for a small generator.某研究小组为一台小型发电机比较两种液体燃料:甲醇与辛烷。

Fuel燃料Formula分子式Molar mass (g mol⁻¹)摩尔质量(g mol⁻¹)$\Delta H_c^\ominus$ (kJ mol⁻¹)
Methanol甲醇$\mathrm{CH_3OH(l)}$$32.05$$-726$
Octane辛烷$\mathrm{C_8H_{18}(l)}$$114.26$$-5470$
(a) Calculate the energy released per gram (in $\mathrm{kJ\,g^{-1}}$) for each fuel. State which fuel has the higher energy density by mass.计算每种燃料每克释放的能量(单位 $\mathrm{kJ\,g^{-1}}$),并指出哪种燃料的单位质量能量密度更高。 [4]
(b) The complete combustion of octane is: $\mathrm{C_8H_{18}(l)} + \tfrac{25}{2}\mathrm{O_2(g)} \rightarrow 8\mathrm{CO_2(g)} + 9\mathrm{H_2O(l)}$. Calculate the mass of $\mathrm{CO_2}$ (in g) produced per MJ of energy released from burning octane. (Molar mass $\mathrm{CO_2} = 44.01~\mathrm{g\,mol^{-1}}$)辛烷完全燃烧:$\mathrm{C_8H_{18}(l)} + \tfrac{25}{2}\mathrm{O_2(g)} \rightarrow 8\mathrm{CO_2(g)} + 9\mathrm{H_2O(l)}$。计算辛烷燃烧每释放 1 MJ 能量所产生 $\mathrm{CO_2}$ 的质量(单位 g)。($\mathrm{CO_2}$ 摩尔质量 $= 44.01~\mathrm{g\,mol^{-1}}$) [4]
(c) A supplier markets a bioethanol blend as "carbon neutral." Discuss, with reference to production energy inputs, whether this label is fully justified.某供应商将其生物乙醇混合燃料宣传为"碳中和"。结合生产过程的能量投入,讨论这一说法是否完全站得住脚。 [3]
(d) Evaluate hydrogen fuel cells as an alternative to hydrocarbon combustion for powering the generator. Refer to both an advantage and a limitation.评价氢燃料电池作为该发电机烃类燃烧替代方案的可行性。须同时提及一项优点与一项局限。 [4]
P3-2HARD Paper 3 HL HL 1.2 Born–Haber Cycle [15]

A Born–Haber cycle is constructed for magnesium oxide, $\mathrm{MgO(s)}$. The lattice enthalpy $\Delta H_{\text{latt}}^\ominus$ is defined for $\mathrm{Mg^{2+}(g)} + \mathrm{O^{2-}(g)} \rightarrow \mathrm{MgO(s)}$. The following data are given.为氧化镁 $\mathrm{MgO(s)}$ 构建玻恩-哈伯循环。晶格焓 $\Delta H_{\text{latt}}^\ominus$ 定义为 $\mathrm{Mg^{2+}(g)} + \mathrm{O^{2-}(g)} \rightarrow \mathrm{MgO(s)}$ 对应的焓变。给出以下数据。

Step步骤Atomization of MgMg 原子化$IE_1(\mathrm{Mg})$$IE_2(\mathrm{Mg})$Atomization of OO 原子化$EA_1(\mathrm{O})$$EA_2(\mathrm{O})$$\Delta H_f^\ominus(\mathrm{MgO})$
kJ mol⁻¹$+148$$+738$$+1451$$+249$$-141$$+798$$-602$
(a) State the meaning of "electron affinity," and explain why the second electron affinity of oxygen, $EA_2(\mathrm{O})$ (i.e. $\mathrm{O^-(g)} + e^- \rightarrow \mathrm{O^{2-}(g)}$), is endothermic even though electron affinities are usually exothermic.说明"电子亲和能"的含义,并解释为何氧的第二电子亲和能 $EA_2(\mathrm{O})$(即 $\mathrm{O^-(g)} + e^- \rightarrow \mathrm{O^{2-}(g)}$)是吸热的,尽管电子亲和能通常是放热的。 [2]
(b) Using the Born–Haber cycle and the data given, calculate the lattice enthalpy $\Delta H_{\text{latt}}^\ominus(\mathrm{MgO})$.利用玻恩-哈伯循环及所给数据,计算晶格焓 $\Delta H_{\text{latt}}^\ominus(\mathrm{MgO})$。 [6]
(c) The lattice enthalpy of $\mathrm{CaO}$ is considerably less exothermic than that of $\mathrm{MgO}$, even though both compounds have $2+$ and $2-$ ions. Using the factors that determine lattice enthalpy magnitude, explain this trend.尽管 $\mathrm{CaO}$ 与 $\mathrm{MgO}$ 都由 $2+$、$2-$ 离子组成,$\mathrm{CaO}$ 的晶格焓放热程度却明显小于 $\mathrm{MgO}$。请用决定晶格焓大小的因素解释这一趋势。 [4]
(d) For a compound such as $\mathrm{AgCl}$, the Born–Haber (experimental) lattice enthalpy differs significantly from the value predicted by a purely ionic (theoretical) model, whereas for $\mathrm{MgO}$ the two agree much more closely. Explain this difference in terms of ionic polarization.对于 $\mathrm{AgCl}$ 这类化合物,玻恩-哈伯循环得到的(实验)晶格焓与纯离子模型(理论)预测值差异显著,而 $\mathrm{MgO}$ 的两者则吻合得多。请用离子极化的概念解释这一差异。 [3]