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IGCSE 物理 · 第 2 主题

训练
讲义 词汇表
2.1

物质的微粒动理模型

大纲

2.1.1 States of matter

Core Supplement
1 Know the distinguishing properties of solids, liquids and gases
2 Know the terms for the changes in state between solids, liquids and gases (gas to solid and solid to gas transfers are not required)

2.1.2 Particle model

Core Supplement
1 Describe the particle structure of solids, liquids and gases in terms of the arrangement, separation and motion of the particles and represent these states using simple particle diagrams 6 Know that the forces and distances between particles (atoms, molecules, ions and electrons) and the motion of the particles affects the properties of solids, liquids and gases
2 Describe the relationship between the motion of particles and temperature, including the idea that there is a lowest possible temperature ($-273\,{}^{\circ}\text{C}$), known as absolute zero, where the particles have least kinetic energy
3 Describe the pressure and the changes in pressure of a gas in terms of the motion of its particles and their collisions with a surface 7 Describe the pressure and the changes in pressure of a gas in terms of the forces exerted by particles colliding with surfaces, creating a force per unit area
4 Know that the random motion of microscopic particles in a suspension is evidence for the kinetic particle model of matter 8 Know that microscopic particles may be moved by collisions with light fast-moving molecules and correctly use the terms atoms or molecules as distinct from microscopic particles
5 Describe and explain this motion (sometimes known as Brownian motion) in terms of random collisions between the microscopic particles in a suspension and the particles of the gas or liquid

2.1.3 Gases and the absolute scale of temperature

Core Supplement
1 Describe qualitatively, in terms of particles, the effect on the pressure of a fixed mass of gas of: (a) a change of temperature at constant volume (b) a change of volume at constant temperature 3 Recall and use the equation $pV = \text{constant}$ for a fixed mass of gas at constant temperature, including a graphical representation of this relationship
2 Convert temperatures between kelvin and degrees Celsius; recall and use the equation $T\text{ (in K)} = \theta\text{ (in }^{\circ}\text{C)} + 273$

来源:剑桥国际大纲

分子动理论:气体压强

物质以三种状态存在:固体(solid)、液体(liquid)和气体(gas)。

状态 形状 体积 粒子
固体 固定 固定 靠近,在一个规则的图案中,振动
液体 取容器的形状 固定 靠近,没有图案,能互相滑过
气体 填满容器 改变 相隔远,快,随机运动

物态变化是:熔化(固体 → 液体)、沸腾/蒸发(液体 → 气体)、凝结(condensation,气体 → 液体)和凝固(solidification,液体 → 固体)。

词汇表 训练
英文 中文 拼音
states of matter 物态 wù tài
solid 固体 gù tǐ
liquid 液体 yè tǐ
condensation 凝结 níng jié
solidification 凝固 níng gù
kinetic particle model 分子动理论 fèn zǐ dòng lǐ lùn
练习卷
2.1

分子动理论模型

所有物质由一直在运动的微小粒子(particles)构成。这是分子动理论。

  • 在一个固体中,粒子只在固定位置周围振动(vibrate)。
  • 在一个液体中它们仍靠近但能互相滑过。
  • 在一个气体中它们相隔远,并在随机方向上快速运动。
三个粒子盒:一个固体的有序网格、一个液体的紧密杂乱,和一个气体的几个快速运动的粒子
同样的粒子在三种状态中:在一个固体中固定而有序、在一个液体中靠近但无序、在一个气体中相隔远而快

Temperature and particle energy

当你加热一个物质时,它的粒子移动更快,所以它们有更多的动能(kinetic energy)。温度(temperature)是粒子平均动能的一个量度。

可能最低的温度是绝对零度(absolute zero),$-273\,{}^{\circ}\text{C}$。在这一点粒子有可能最少的能量。

一个白色数字温度计,带一个长金属探头和一个小屏幕,旁边它的存储盒
一个数字温度计通过感知它接触的粒子的动能来测量温度

Gas pressure

气体粒子撞击它们容器的壁。每次撞击是一个微小的推。气体的压强(pressure)是这些撞击每单位面积的总力。

一个盒子里向所有方向运动的气体粒子,撞击壁
气体压强是无数粒子撞击在壁每单位面积上的总力
  • 加热一个气体(在恒定体积)使粒子移动更快、撞击更用力、更频繁,所以压强上升。
  • 把一个气体挤进一个更小的体积(在恒定温度)意味着每单位面积每秒更多的撞击,所以压强上升。

对于恒定温度的一个固定质量的气体:

$$pV = \text{constant}$$

所以若体积减半,压强翻倍。

一条压强对体积的曲线,陡峭下降然后趋平,点显示体积减半使压强翻倍
在恒定温度,压强-体积图是一条曲线:体积减半而压强翻倍,所以 $pV$ 保持不变

例题。 一个气体在 $100\ \text{kPa}$ 的压强下有 $200\ \text{cm}^3$ 的体积。它在恒定温度被挤到 $50\ \text{cm}^3$。求新压强。

因为 $pV$ 保持不变,$p_1 V_1 = p_2 V_2$:

$$100 \times 200 = p_2 \times 50 \quad\Rightarrow\quad p_2 = \frac{20\,000}{50} = 400\ \text{kPa}$$

Brownian motion

若你在显微镜下看空气中的烟,你看到微小的斑点以一种颠簸、随机的方式运动。这是布朗运动(Brownian motion)。这些斑点被快速、看不见的空气粒子撞击它们而被推动。它是分子动理论的强证据。

一个大的烟粒在一条之字形路径上,被小的快速空气粒子撞击它围绕
来自快速空气粒子的随机撞击把一个烟粒沿一条颠簸、随机的路径推动

The kelvin scale

科学家常常用开尔文(kelvin,K)温度标度,它从绝对零度开始。要转换:

$$T\text{ (in K)} = \theta\text{ (in }^{\circ}\text{C}) + 273$$

所以 $0\,{}^{\circ}\text{C} = 273\ \text{K}$

例题。$25\,{}^{\circ}\text{C}$ 转换成开尔文,把 $200\ \text{K}$ 转换成摄氏度。

$$25 + 273 = 298\ \text{K}, \qquad 200 - 273 = -73\,{}^{\circ}\text{C}$$
探索

Squeeze a gas (Boyle's law)

Slide the piston in to shrink the volume. The same particles get crammed into less space, so they hit the walls more often and the pressure climbs — while pressure × volume stays constant.

词汇表 训练
英文 中文 拼音
gas 气体 qì tǐ
particle 粒子 lì zi
vibrate 振动 zhèn dòng
kinetic energy 动能 dòng néng
temperature 温度 wēn dù
absolute zero 绝对零度 jué duì líng dù
pressure 压强 yā qiáng
Brownian motion 布朗运动 bù lǎng yùn dòng
kelvin 开尔文 kāi ěr wén
2.2

热学性质与温度

大纲

2.2.1 Thermal expansion of solids, liquids and gases

Core Supplement
1 Describe, qualitatively, the thermal expansion of solids, liquids and gases at constant pressure 3 Explain, in terms of the motion and arrangement of particles, the relative order of magnitudes of the expansion of solids, liquids and gases as their temperatures rise
2 Describe some of the everyday applications and consequences of thermal expansion

2.2.2 Specific heat capacity

Core Supplement
1 Know that a rise in the temperature of an object increases its internal energy 2 Describe an increase in temperature of an object in terms of an increase in the average kinetic energies of all of the particles in the object
3 Define specific heat capacity as the energy required per unit mass per unit temperature increase; recall and use the equation
$$c = \frac{\Delta E}{m\Delta\theta}$$
4 Describe experiments to measure the specific heat capacity of a solid and a liquid

2.2.3 Melting, boiling and evaporation

Core Supplement
1 Describe melting and boiling in terms of energy input without a change in temperature 6 Describe the differences between boiling and evaporation
2 Know the melting and boiling temperatures for water at standard atmospheric pressure
3 Describe condensation and solidification in terms of particles
4 Describe evaporation in terms of the escape of more-energetic particles from the surface of a liquid 7 Describe how temperature, surface area and air movement over a surface affect evaporation
5 Know that evaporation causes cooling of a liquid 8 Explain the cooling of an object in contact with an evaporating liquid

来源:剑桥国际大纲

当物质被加热时,它的粒子运动更多并占据更多的空间,所以材料膨胀。气体膨胀最多,然后液体,然后固体。

日常例子:铁轨之间留有间隙;桥坐在滚轮上;一个紧的金属盖在被加热时松开。

两条铁轨,凉时有一个小间隙,然后热时膨胀并接触
铁轨之间凉时留一个小间隙,所以当它们在热中膨胀时间隙闭合而不是使轨道弯曲
探索

Heating and specific heat capacity

Q = mcΔT

The heat energy needed is proportional to the temperature rise for a given mass of material.

词汇表 训练
英文 中文 拼音
thermal expansion 热膨胀 rè péng zhàng
练习卷
2.2

内能与比热容

一个物体的内能(internal energy)是它所有粒子的总能量。加热一个物体提高它的内能,而且通常它的温度。

比热容(specific heat capacity)是把 1 kg 的一个材料的温度提高 1 °C 所需的能量。

$$c = \frac{\Delta E}{m\,\Delta\theta}$$

一个有高比热容的材料(像水)需要很多能量来升温,而且冷却缓慢。

例题。$2.0\ \text{kg}$ 的水从 $20\,{}^{\circ}\text{C}$ 加热到 $70\,{}^{\circ}\text{C}$ 需要多少能量?水的比热容是 $4200\ \text{J/(kg}\,{}^{\circ}\text{C)}$

重排 $c = \frac{\Delta E}{m\,\Delta\theta}$ 给出 $\Delta E = mc\,\Delta\theta$,其中 $\Delta\theta = 70 - 20 = 50\,{}^{\circ}\text{C}$:

$$\Delta E = 2.0 \times 4200 \times 50 = 420\,000\ \text{J} = 420\ \text{kJ}$$
Boiling water: internal energy rises with temperature; specific heat capacity is energy per kg per °C
Boiling water: internal energy rises with temperature; specific heat capacity is energy per kg per °C
词汇表 训练
英文 中文 拼音
internal energy 内能 nèi néng
specific heat capacity 比热容 bǐ rè róng
boiling 沸腾 fèi téng
2.2

熔化、沸腾与蒸发

熔化(melting)和沸腾(boiling)需要能量,但在状态变化时温度保持不变。这个能量打破粒子之间的力。对于正常气压下的水,熔化在 $0\,{}^{\circ}\text{C}$、沸腾在 $100\,{}^{\circ}\text{C}$

一条温度对时间的加热曲线,在熔化期间和沸腾期间有平坦的平台
当物质熔化时和当它沸腾时温度保持平坦,即使能量仍在被添加

蒸发(evaporation)是当一个液体在它的表面、低于沸点变成一个气体时。最快的粒子从表面逃逸。因为最快(最有能量)的粒子离开,留下的那些的平均能量下降,所以液体冷却(cools down)。

蒸发在温度更高、表面积更大,以及表面上有更多空气流动时更快。

探索

The heating curve — watch the temperature pause

While the substance is melting or boiling the temperature stays flat, even though heat is still going in — the energy breaks bonds instead of warming it.

词汇表 训练
英文 中文 拼音
melting 熔化 róng huà
evaporation 蒸发 zhēng fā
cools down 冷却 lěng què
transfer of thermal energy 热能传递 rè néng chuán dì
2.3

热能的传递

大纲

2.3.1 Conduction

Core Supplement
1 Describe experiments to demonstrate the properties of good thermal conductors and bad thermal conductors (thermal insulators) 2 Describe thermal conduction in all solids in terms of atomic or molecular lattice vibrations and also in terms of the movement of free (delocalised) electrons in metallic conductors
3 Describe, in terms of particles, why thermal conduction is bad in gases and most liquids
4 Know that there are many solids that conduct thermal energy better than thermal insulators but do so less well than good thermal conductors

2.3.2 Convection

Core Supplement
1 Know that convection is an important method of thermal energy transfer in liquids and gases
2 Explain convection in liquids and gases in terms of density changes and describe experiments to illustrate convection

2.3.3 Radiation

Core Supplement
1 Know that thermal radiation is infrared radiation and that all objects emit this radiation
2 Know that thermal energy transfer by thermal radiation does not require a medium 4 Know that for an object to be at a constant temperature it needs to transfer energy away from the object at the same rate that it receives energy
3 Describe the effect of surface colour (black or white) and texture (dull or shiny) on the emission, absorption and reflection of infrared radiation 5 Know what happens to an object if the rate at which it receives energy is less or more than the rate at which it transfers energy away from the object
6 Know how the temperature of the Earth is affected by factors controlling the balance between incoming radiation and radiation emitted from the Earth’s surface
7 Describe experiments to distinguish between good and bad emitters of infrared radiation
8 Describe experiments to distinguish between good and bad absorbers of infrared radiation
9 Describe how the rate of emission of radiation depends on the surface temperature and surface area of an object

2.3.4 Consequences of thermal energy transfer

Core Supplement
1 Explain some of the basic everyday applications and consequences of conduction, convection and radiation, including: (a) heating objects such as kitchen pans (b) heating a room by convection 2 Explain some of the complex applications and consequences of conduction, convection and radiation where more than one type of thermal energy transfer is significant, including: (a) a fire burning wood or coal (b) a radiator in a car

来源:剑桥国际大纲

热能以三种方式从更热的地方移动到更冷的地方。

Conduction

热传导(conduction)是热能穿过一个材料而材料不移动的传递。被加热的粒子振动更多并把能量传给它们的邻居。在金属中,自由(离域)电子(delocalised electrons,自由电子)快速携带能量,所以金属是好的热导体(thermal conductors)。

导得差的材料(像空气、木头和塑料)是热绝缘体(thermal insulators)。

一根一端被加热的金属棒,它的粒子振动并把能量传向凉的一端
在热传导中振动的粒子把能量传给它们的邻居,所以能量从热的一端流向凉的一端

Convection

对流(convection)在液体和气体中发生。当一个流体被加热时它膨胀、变得密度更小,并上升。更凉、密度更大的流体下沉以取代它的位置。这个移动流体的循环是一个对流

一个从下面被加热的水烧杯,一个循环箭头显示热水上升、凉水下沉
被加热的流体上升,而更凉的流体下沉,建立一个对流

对流不能在一个固体中发生,因为粒子不能从一个地方移动到另一个。

Radiation

热辐射(thermal radiation)是红外线(infrared)波携带的能量。所有物体发射它,而它不需要材料来穿过——它能越过空的空间(这就是能量如何从太阳到达我们)。

一个暗淡(dull)而黑的表面是一个好的红外线发射体(emitter)和好的吸收体(absorber)。一个闪亮而白的表面是一个差的发射体和好的反射体(reflector)。

一个暗淡的黑色表面放出许多红外线波,挨着一个放出很少的闪亮表面
一个暗淡的黑色表面发射(并吸收)红外线比一个闪亮、白的好得多
一只手的三张图:在普通光中、然后在一台热像仪中温暖并发出黄光、然后更凉、更暗
一台热(红外)相机把一只温暖的手放出的红外线变成一张图;更亮意味着更热

当一个物体以与它吸收能量相同的速率发射能量时,它保持在一个恒定的温度。当表面更热、更大时发射速率更大。

探索

Heat transfer lab

Compare the routes by which thermal energy moves.

词汇表 训练
英文 中文 拼音
conduction 热传导 rè chuán dǎo
delocalised electrons 自由电子 zì yóu diàn zi
thermal conductor 热导体 rè dǎo tǐ
thermal insulator 热绝缘体 rè jué yuán tǐ
convection 对流 duì liú
thermal radiation 热辐射 rè fú shè
infrared 红外线 hóng wài xiàn
dull 暗淡 àn dàn
emitter 发射体 fā shè tǐ
absorber 吸收体 xī shōu tǐ
reflector 反射体 fǎn shè tǐ
2.3

考试技巧

  • 分子动理论中,加热一个气体使它的粒子移动更快、更用力、更频繁地撞击壁,所以压强上升。粒子本身不变大。
  • 蒸发只在表面、在任何温度发生;沸腾在一个固定的温度贯穿整个液体发生。蒸发使留下的液体冷却,因为最快的粒子逃逸。
  • 熔化沸腾期间温度保持恒定,即使能量仍在被供应——那个能量打破粒子之间的力。
  • 对于比热容$\Delta E = mc\,\Delta\theta$,其中 $\Delta\theta$ 是温度的变化,不是最终温度。
  • 暗淡的黑色表面是红外线的最好发射体和吸收体;闪亮、浅色的表面是最好的反射体。对流需要一个流体流动,所以它不能在一个固体中发生。

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